Thermopower across Fermi-volume-changing quantum phase transitions without translational symmetry breaking

Aavishkar A. Patel; Peter Lunts; Subir Sachdev

REVIEW 2 major objections 4 minor 2 cited by

Thermopower across Fermi-volume-changing quantum phase transitions without translational symmetry breaking

T0 review · 2 major / 4 minor · reviewed 2026-08-11 · deepseek-v4-flash

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Pith's one-line read Low-temperature thermopower across a Fermi-volume-changing quantum phase transition without translational symmetry breaking is large and asymmetric, matching experiments in CeRhIn5 and Nd-LSCO, and supporting a non-symmetry-breaking…

desk verdict A careful, honest large-N computation that turns the canonical boson's -iω term into a concrete, side-dependent thermopower asymmetry; the load-bearing caveat—purely random Kondo coupling, no uniform part—is the authors' own, and the experimental match stays qualitative. read the letter →

arxiv 2412.15330 v5 pith:CA46VF42 submitted 2024-12-19 cond-mat.str-el

Peter Lunts , Aavishkar A. Patel , Subir Sachdev This is my paper · ORCID

classification cond-mat.str-el

keywords thermopowerSeebeckcoefficientFermi-volume-changingquantumphasetransitionfractionalizedFermiliquidmarginalKondolatticepseudogapancillatheory

verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

This paper argues that low-temperature thermopower is a sharp probe of a quantum phase transition in which the Fermi volume changes while translational symmetry is preserved. In a solvable large-N Kondo lattice model with spatially random Kondo exchange, the transition between a heavy Fermi liquid (large Fermi surface) and a fractionalized FL* metal (small Fermi surface) generates a large and asymmetric Seebeck coefficient, with the enhancement on the large-Fermi-surface side and a non-monotonic temperature dependence on the small-Fermi-surface side. Read through the ancilla theory of single-band Hubbard models, the same computation has the asymmetry inverted, so the pseudogap (small-Fermi-surface) side shows the enhancement. The computed S/T curves reproduce the qualitative behavior measured in CeRhIn5 and in Nd-LSCO, and the paper takes this match as evidence that the cuprate pseudogap onset is a Fermi-volume-changing transition without symmetry breaking.

What carries the argument

The load-bearing object is the critical Higgs boson propagator $G_b(i\omega,\mathbf{k}) = 1/(-i\omega + \mathbf{k}^2/(2m_b) + \gamma|\omega| + \Delta_b(T))$, whose $-i\omega$ term comes from the boson being a canonical field carrying an emergent U(1) gauge charge; a symmetry-breaking order parameter would not have this term. This term generates the odd-in-frequency parts of the fermion scattering functions $g_\rho(x,z)$ in the self-energies, producing what the paper calls a 'skewed marginal Fermi liquid', following the framework in Ref. [19]. The Seebeck coefficient is assembled from the Onsager coefficients $L_0$ and $L_1$, with the electrical current vertices renormalized by the emergent gauge field (Ioffe-Larkin-type combination, Eq. (21)): the $f$-electron and boson channels add like resistors in series, the $c$-electron channel in parallel. The inversion between Kondo lattice and single-band models follows from which side of the transition has the condensed Higgs field.

What would settle it

An explicit large-N calculation that keeps both a uniform and a random Kondo coupling, $g+g'(r)$ with $g \gg g'$, would settle the claim: if the skewed-MFL thermopower asymmetry disappears or inverts once the uniform piece dominates, the proposed mechanism and the match to CeRhIn5 and Nd-LSCO would not survive. A second check is to search in CeRhIn5 for the predicted ultra-low-temperature super-logarithmic downturn of $S/T$ on the large-Fermi-surface side.

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Extended reading notes

Core claim

The central claim is that the thermopower across a Fermi-volume-changing quantum phase transition without translational symmetry breaking is large and asymmetric because the critical boson is electrically charged. In the Kondo lattice model, the large-Fermi-surface FL phase has a condensed Higgs boson $b$, while the small-Fermi-surface FL* phase has a spin liquid with fractionalized excitations; the onset of the FL phase is the condensation of this Higgs field, which carries unit charge under an emergent U(1) gauge field. The boson propagator contains a linear-in-frequency term $-i\omega$, which is absent for symmetry-breaking order parameters, and this term makes the fermionic self-energies a 'skewed marginal Fermi liquid' with singular particle-hole asymmetry. As a result, $S/T$ is enhanced on the large-Fermi-surface side and has a non-monotonic downturn at low temperatures on the small-Fermi-surface side. In the ancilla description of single-band models the condensation is reversed, so the pseudogap FL* state has the condensed Higgs field and the thermopower enhancement sits on the pseudogap side. The paper shows this matches $S/T$ data across the pressure-tuned transition in CeRhIn5 and across the doping-tuned pseudogap critical point in Nd-LSCO, and it argues this supports a non-symmetry-breaking Fermi-volume-changing transition as the origin of the pseudogap at intermediate temperatures.

Load-bearing premise

The load-bearing premise is that the electron–Higgs interaction is purely random in space, so the translationally invariant Kondo coupling can be ignored for low-temperature thermoelectric transport; the paper explicitly calls this an unrealistic simplification that remains to be checked.

Editorial extensions

If this is right

On the heavy-fermion side, the theory predicts an enhanced $S/T$ on the large-Fermi-surface side and a low-temperature non-monotonic downturn on the small-Fermi-surface side, as observed in CeRhIn5.
On the cuprate side, the ancilla inversion predicts an enhanced thermopower on the pseudogap (small-Fermi-surface) side, matching Nd-LSCO and supporting a non-symmetry-breaking Fermi-volume-changing transition as the origin of the pseudogap.
Thermopower becomes a diagnostic that can distinguish symmetry-breaking (weak, roughly symmetric) from non-symmetry-breaking (large, asymmetric) quantum phase transitions.
The measured drop of the Hall coefficient across the pseudogap critical doping is consistent with the Fermi-volume change assumed here.
The theory predicts that at sufficiently low temperature the large-Fermi-surface-side $S/T$ will eventually turn over and change sign, a feature not yet seen in Nd-LSCO data.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

If the uniform Kondo coupling is included and found to be subdominant, the same skewed-MFL mechanism should also produce a large asymmetric Nernst signal across the transition, since the Nernst effect couples to the same particle-hole asymmetry and critical boson dynamics.
The inversion between Kondo lattice and single-band models suggests a practical classification: materials that show thermopower enhancement on their small-Fermi-surface side are consistent with the ancilla single-band description, while those with enhancement on the large-Fermi-surface side correspond to the two-band Kondo lattice picture.
One could look for the same non-monotonic downturn in other heavy-fermion compounds with a Fermi-volume transition, where the temperature window for the skewed-MFL signal should be set by the elastic scattering rate.
The theory implicitly predicts that thermopower, rather than resistivity, is the cleanest bulk probe of the pseudogap critical point, because the resistivity is dominated by the $c$-electrons while $S/T$ isolates the skewed channel; this could be tested by measuring $S/T$ anisotropy or thermal conductivity.

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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Desk Editor's Note

read the letter

Dear colleague,

The headline: a genuinely new computation of thermopower across the FL-to-FL* Fermi-volume transition in the random-Kondo lattice model, careful and self-contained at large N, with the canonical boson's -iω term kept throughout. That term is the physics. It makes the critical boson propagator particle-hole asymmetric in a way SDW/CDW order parameters cannot, and with a purely random coupling it produces a skewed MFL with a large, side-dependent Seebeck effect. The Georges-Mravlje idea gets a concrete large-N home, and the Ioffe-Larkin vertex corrections are handled properly—Appendix D's cancellation of thermal-vertex renormalizations is a nice piece of work. Section IIID is the cleanest part: one coefficient, c-(T), controls the sign and non-monotonicity of S/T, and its side-dependent behavior is not fine-tuned. The Kondo-lattice/ancilla inversion is a real point. Credit for honesty: the authors state their main limitation themselves in Section IV, and they do not fit parameters to the thermopower data—c-(T) is computed from the self-energy, so circularity is low.

The big soft spot is structural, and the stress-test note lands: the theory is built on a purely random Kondo coupling g'(r), while the realistic case is g + g'(r) with g dominant. A uniform g generates q-dependent Landau damping (|ω|/|q|), not the local γ|ω| of Eq. (4), and the skewed functions in Eq. (9) and the coefficient c-(T) in Eq. (31) all rest on that local damping. It is plausible the asymmetry survives—the -iω term is a property of the canonical boson, not of the disorder—but that is a hope, not a result, until the g + g' calculation is done. This does not negate the paper's value; it makes the central claim conditional, as the authors concede.

Medium-sized: the experiment comparisons are qualitative. The CeRhIn5 match on the three pressures nearest critical is creditable; the Nd-LSCO comparison omits the low-temperature window where the theory predicts a downturn the data do not show. The authors call that downturn a prediction, which is fair, but "consistent with observations" is doing real work. Parameters like γ=0.05, Λ=100, mb=25 are motivated but hand-picked. Minor: the Gaussian-level equivalence between the Kondo and ancilla descriptions is asserted, as is the persistence of odd-in-ω terms beyond 1/N—reasonable, unproven.

Who it is for: theorists in heavy-fermion quantum criticality, thermopower as a Fermi-surface probe, and the pseudogap. It deserves a serious referee: the computation is careful, the mechanism is physical, and the open structural assumption is stated plainly. Send it out, with the referee expected to press on g + g' and the omitted low-T cuprate window.

Referee Report

2 major / 4 minor

Summary. This paper calculates the low-temperature thermopower in a Kondo lattice model across a Fermi-volume-changing quantum phase transition without translational symmetry breaking, using a large-N limit with spatially random Kondo exchange. The authors find a 'skewed' marginal Fermi liquid with a large, particle-hole asymmetric thermopower: the Seebeck coefficient is enhanced on the large-Fermi-surface side and non-monotonic on the small-Fermi-surface side. They compare these results with data on CeRhIn5 and, via the ancilla theory of single-band Hubbard models, with Nd-LSCO, concluding that the pseudogap onset in the cuprates is described by a non-symmetry-breaking Fermi-volume-changing transition. The computation is documented in appendices, and the paper explicitly identifies the purely random Kondo coupling as a simplifying assumption whose relaxation requires further work.

Significance. If the central result holds, the paper offers a concrete, falsifiable diagnostic: thermopower asymmetry and its temperature dependence can distinguish non-symmetry-breaking Fermi-volume-changing transitions from symmetry-breaking ones. The detailed large-N derivation, the explicit self-energy and Onsager-coefficient expressions, and the transparent comparison with two experimental systems are strengths. The calculation also makes a sharp prediction for the low-temperature downturn of S/T in the cuprate comparison. However, the significance is conditional on the assumed dominance of the purely random Kondo coupling over a uniform one, a point the authors themselves concede.

major comments (2)

[Section IV and Eqs. (1), (4), (9), (31)] The central thermopower asymmetry is generated by the −iω term in the boson propagator (Eq. (4)) combined with the q-independent random Yukawa coupling g′(r) in Eq. (1). The paper concedes in Section IV that a translationally invariant Kondo coupling g is more realistic and that no calculation with g+g′(r) has been done. A uniform g typically produces a q-dependent Landau damping (of the form γ|ω|/|q| at small q), which does not reduce to the local γ|ω| used here. This would modify the skewed function g_ρ(x,z) in Eq. (9) and, in particular, the coefficient c_−(T) in Eq. (31) that controls the sign and non-monotonicity of S/T. Because the qualitative agreement with CeRhIn5 and Nd-LSCO depends on this coefficient, the claim should be presented as conditional on the validity of neglecting g, or supported by an explicit calculation.
[Section IV and Fig. 5] The cuprate comparison is made in a restricted temperature window. The text states that the theoretical curves in Fig. 5(a) were 'cut off' at the smallest temperatures to illustrate the match, and that lower-temperature behavior would show a non-monotonicity 'absent in the experimental measurements.' Since the experimental data in Fig. 5(b) extends to low T without this feature, the agreement is not demonstrated in the full measured range. If the downturn is a prediction, the expected temperature scale should be given and the prediction shown; if the comparison is intended to be qualitative, this limitation should be stated in the abstract and conclusions.

minor comments (4)

[Section III B and Fig. 4(a) caption] Section III B states Γf = 0.2, justified by ν_f/ν_c ≈ 10, but the Fig. 4(a) caption lists Γ_c = Γ_f = 0.02. Please clarify which value was used in the calculation and correct the inconsistency.
[Section IV] There are typographical errors: 'translationaly' and 'illustate' should be 'translationally' and 'illustrate'.
[Fig. 6 caption] The y-axis label 'c□' appears to be a rendering artifact; it should read c_−(T).
[Section III B] A brief sensitivity analysis with respect to the chosen parameters (γ, Λ, m_b, Γ_c, Γ_f) would strengthen the claim that the qualitative features are not fine-tuned, especially because the experimental comparison is visual and qualitative.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the S/T calculation is self-contained, and the self-cited ancilla and random-Kondo frameworks are modeling inputs rather than fitted predictions.

full rationale

The thermopower derivation is self-contained: the model in Eq. (1), the large-N propagator Eq. (4), the self-energies Eqs. (7) and (9), and the Onsager transport formulas Eqs. (21)-(29) determine S/T without any use of the experimental thermopower data. The CeRhIn5 and Nd-LSCO comparisons in Figs. 4 and 5 are qualitative and are made after the calculation, not by fitting parameters to those data. The self-cited inputs, such as fractionalized Fermi liquids, the ancilla framework, and the random-Kondo model, are modeling assumptions with independent content; they do not enter as fitted parameters or as outputs recycled as predictions. The paper's own Section IV limitation, that only the purely random coupling g'(r) is retained while a uniform g is omitted, is a conceded assumption that makes the cuprate and heavy-fermion claims conditional, but it is not a circular reduction: no equation is defined in terms of the quantity it is said to predict, and the thermopower asymmetry is a computed consequence of the odd-in-omega term in Eq. (4), not a restatement of that term. No circular step meets the required evidence standard of exhibiting a specific reduction to an input.

Assumptions & free parameters 7 free parameters · 5 assumptions · 0 invented entities

No new particles or entities are introduced; the fractionalized excitations and the Higgs boson are inherited from prior work. The listed free parameters and assumptions are the price of the model: the qualitative thermopower predictions depend on them, and the paper does not provide a robustness analysis.

free parameters (7)

Landau damping coefficient gamma = 0.05
Chosen small (gamma << 1) to enter the skewed MFL regime; controls the strength of the -iomega Landau damping in the boson propagator (Eq. 4).
Boson UV cutoff Lambda = 100
Sets the ultraviolet scale in the logarithmic self-energy terms; large cutoff approximation used throughout.
Boson mass mb = 25 (Kondo lattice), 5 (single band)
Chosen to satisfy the constraint mb >= mc + mf; affects the boson transport function and the quantitative thermopower.
Elastic scattering rate Gammac = 0.02
Assumes a very clean c-electron channel, motivated by small residual resistivity; sets the crossover scale T*_c.
Elastic scattering rate Gammaf = 0.2 (Kondo), 0.02 (single band)
For the Kondo lattice set by nu_f/nu_c ~ 10; for the single band taken equal to Gammac; determines which Fermi surface dominates S.
f-electron mass mf = 10 mc (Kondo), mc (single band)
Chosen heavy in the Kondo lattice to localize f electrons; equal to mc in the ancilla single-band treatment.
Tuning parameter offsets Delta kappa = +/-0.003, -0.0015 (plotted)
Distances from the critical kappa chosen to illustrate the two sides of the transition; not fitted to data.

assumptions (5)

domain assumption The large-N saddle point controls the theory at physical spin degeneracy; 1/N corrections do not change the odd-in-frequency terms in the self-energy.
The entire computation is performed at the leading large-N saddle point (Section II); the paper asserts higher-order 1/N corrections preserve the crucial odd-in-x terms.
domain assumption The hybridization boson b is canonical and carries an emergent U(1) charge, which gives the -iomega term with unit coefficient in the boson propagator (Eq. 4).
This is the source of particle-hole asymmetry and hence the large thermopower; the paper contrasts it with symmetry-breaking order parameters where the -iomega term is absent.
ad hoc to paper Spatially random Kondo exchange is the dominant interaction; a uniform Kondo coupling g can be neglected for low-T thermoelectric transport.
Stated as an 'unrealistic simplification' in Section IV; the paper calls for an explicit calculation with both g and g'(r) to confirm the assumption.
domain assumption Translational symmetry breaking is a secondary, lower-temperature phenomenon; the intermediate-temperature quantum-critical fan is governed only by the Fermi-volume-changing transition.
Stated in the Introduction; nearby symmetry-breaking phases (antiferromagnetism, charge order) are assumed not to affect the thermopower in the regime analyzed.
ad hoc to paper The ancilla theory of the single-band Hubbard model has Gaussian fluctuation dynamics equivalent to the Kondo lattice model, with only the condensed-Higgs side inverted.
Appendix A: 'At the gaussian level, examined for the Kondo lattice in the present paper, there are no significant differences with the ancilla case.' This is what transfers the Kondo-lattice result to the cuprates.

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Pith. "Pith review of Thermopower across Fermi-volume-changing quantum phase transitions without translational symmetry breaking." pith.science (2026). https://pith.science/paper/CA46VF42

@misc{pith2026241215330,
  author       = {Pith},
  title        = {Pith review of: Thermopower across Fermi-volume-changing quantum phase transitions without translational symmetry breaking},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/CA46VF42}},
  note         = {Machine review of arXiv:2412.15330}
}

read the original abstract

We describe the evolution of low-temperature thermopower across Fermi-volume-changing quantum phase transitions in Kondo lattice models without translational symmetry breaking. This transition moves from a heavy Fermi liquid with a conventional Luttinger-volume large Fermi surface to a 'FL*' state, characterized by a small Fermi surface and a spin liquid with fractionalized excitations. The onset of the large Fermi surface phase is driven by the condensation of a Higgs field that carries a unit gauge charge under an emergent U(1) gauge field. We consider the case with spatially random Kondo exchange, as this leads to strange metal behavior in electrical transport. We find a large asymmetric thermopower in a 'skewed' marginal Fermi liquid, with similarities to the skewed non-Fermi liquid of Georges and Mravlje (arXiv:2102.13224). Our findings are consistent with recent observations in heavy fermion compounds (Z.-Y. Cao et al., arXiv:2408.13604), and describe an enhancement of thermopower on the large Fermi surface side as well as a non-monotonic behavior on the small Fermi surface side. Our results also apply to single-band Hubbard models and the pseudogap transition in the cuprates. In the ancilla framework, single-band models exhibit an inverted Kondo lattice transition: the small Fermi surface pseudogap state corresponds to the condensed Higgs state. This inversion results in an enhancement of thermopower on the pseudogap side in our theory, consistent with observations in the cuprates (C. Collignon et al., arXiv:2011.14927; A. Gourgout et al., arXiv:2106.05959). We argue that these observations support a non-symmetry-breaking Fermi-volume-changing transition as the underlying description of the onset of the pseudogap in the cuprates.

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Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Lectures on insulating and conducting quantum spin liquids
cond-mat.str-el 2025-12 unverdicted novelty 3.0 of 10

The notes argue that the FL* state — small pockets plus a quantized spin-liquid anomaly — resolves the ADMR pocket and v_F >> v_Delta problems that defeated holon-metal and plain fermionic-parton theories of the cuprates.
The foot, the fan, and the cuprate phase diagram: Fermi-volume-changing quantum phase transitions
cond-mat.str-el 2025-01 conditional novelty 3.0 of 10

The paper attributes the cuprate 'foot' to a disordered spin-density-wave transition and the 'fan' to a disorder-tuned FL-to-FL* Fermi-volume-changing transition described by a two-dimensional Yukawa-SYK model.

Reference graph

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S. A. Hartnoll, R. Mahajan, M. Punk, and S. Sachdev, Transport near the Ising-nematic quantum critical point of metals in two dimensions, Phys. Rev. B 89, 155130 (2014), arXiv:1401.7012 [cond-mat.str-el]

2014 arXiv
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A. A. Patel and S. Sachdev, DC resistivity at the onset of spin density wave order in two-dimensional metals, Phys. Rev. B 90, 165146 (2014), arXiv:1408.6549 [cond-mat.str- el]

2014 arXiv
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S. A. Hartnoll, P. K. Kovtun, M. Muller, and S. Sachdev, Theory of the Nernst effect near quantum phase transi- tions in condensed matter, and in dyonic black holes, Phys. Rev. B 76, 144502 (2007), arXiv:0706.3215 [cond- mat.str-el]

2007 arXiv
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D. L. Maslov, V. I. Yudson, and A. V. Chubukov, Re- sistivity of a Non-Galilean-Invariant Fermi Liquid near Pomeranchuk Quantum Criticality, Phys. Rev. Lett.106, 106403 (2011), arXiv:1012.0069 [cond-mat.str-el]

2011 arXiv
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Z. D. Shi, D. V. Else, H. Goldman, and T. Senthil, Loop current fluctuations and quantum critical transport, Sci- Post Phys. 14, 113 (2023)

2023
[34]

H. Guo, D. Valentinis, J. Schmalian, S. Sachdev, and A. A. Patel, Cyclotron resonance and quantum oscilla- tions of critical Fermi surfaces, Phys. Rev. B 109, 075162 (2024), arXiv:2308.01956 [cond-mat.str-el]

2024 arXiv
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D. L. Maslov and A. V. Chubukov, Optical response of correlated electron systems, Reports on Progress in Physics 80, 026503 (2017), arXiv:1608.02514 [cond- mat.str-el]

2017 arXiv
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H. Guo, A. A. Patel, I. Esterlis, and S. Sachdev, Large- N theory of critical Fermi surfaces. II. Conductivity, Phys. Rev. B106, 115151 (2022), arXiv:2207.08841 [cond- mat.str-el]

2022 arXiv
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Parcollet and A

O. Parcollet and A. Georges, Non-Fermi-liquid regime of a doped Mott insulator, Phys. Rev. B 59, 5341 (1999), arXiv:cond-mat/9806119 [cond-mat.str-el]

1999 arXiv
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Sachdev, Bekenstein-Hawking Entropy and Strange Metals, Phys

S. Sachdev, Bekenstein-Hawking Entropy and Strange Metals, Phys. Rev. X 5, 041025 (2015), arXiv:1506.05111 [hep-th]

2015 arXiv
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Sachdev and J

S. Sachdev and J. Ye, Gapless spin-fluid ground state in a random quantum Heisenberg magnet, Phys. Rev. Lett. 70, 3339 (1993), cond-mat/9212030

1993 arXiv
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Parcollet, A

O. Parcollet, A. Georges, G. Kotliar, and A. Sengupta, Overscreened multichannel SU(N ) Kondo model: Large- N solution and conformal field theory, Phys. Rev. B 58, 3794 (1998), arXiv:cond-mat/9711192 [cond-mat.str-el]

1998 arXiv
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Kruchkov, A

A. Kruchkov, A. A. Patel, P. Kim, and S. Sachdev, 15 Thermoelectric power of Sachdev-Ye-Kitaev islands: Probing Bekenstein-Hawking entropy in quantum mat- ter experiments, Phys. Rev. B 101, 205148 (2020), arXiv:1912.02835 [cond-mat.str-el]

2020 arXiv
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Rossini, G

D. Rossini, G. M. Andolina, D. Rosa, M. Carrega, and M. Polini, Quantum advantage in the charging process of Sachdev-Ye-Kitaev batteries, Phys. Rev. Lett. 125, 236402 (2020), arXiv:1912.07234 [cond-mat.str-el]

2020 arXiv
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R. A. Davison, W. Fu, A. Georges, Y. Gu, K. Jensen, and S. Sachdev, Thermoelectric transport in disordered metals without quasiparticles: The Sachdev-Ye-Kitaev models and holography, Phys. Rev. B 95, 155131 (2017), arXiv:1612.00849 [cond-mat.str-el]

2017 arXiv
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Y. Gu, A. Kitaev, S. Sachdev, and G. Tarnopolsky, Notes on the complex Sachdev-Ye-Kitaev model, Journal of High Energy Physics 02, 157 (2020), arXiv:1910.14099 [hep-th]

2020 arXiv
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Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, UK, 1999)

S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, UK, 1999)

1999
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Coleman, C

P. Coleman, C. P´ epin, Q. Si, and R. Ramazashvili, How do Fermi liquids get heavy and die?, Journal of Physics Condensed Matter 13, R723 (2001), arXiv:cond- mat/0105006 [cond-mat.str-el]

2001
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Shackleton, L

H. Shackleton, L. E. Anderson, P. Kim, and S. Sachdev, Conductance and thermopower fluctuations in interact- ing quantum dots, Phys. Rev. B 109, 235109 (2024), arXiv:2309.05741 [cond-mat.str-el]

2024 arXiv
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L. E. Anderson, A. Laitinen, A. Zimmerman, T. Werk- meister, H. Shackleton, A. Kruchkov, T. Taniguchi, K. Watanabe, S. Sachdev, and P. Kim, Magneto- Thermoelectric Transport in Graphene Quantum Dot with Strong Correlations, Phys. Rev. Lett. 132, 246502 (2024), arXiv:2401.08050...

2024 arXiv
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T. Park, F. Ronning, H. Q. Yuan, M. B. Salamon, R. Movshovich, J. L. Sarrao, and J. D. Thompson, Hid- den magnetism and quantum criticality in the heavy fermion superconductor CeRhIn 5, Nature (London) 440, 65 (2006), arXiv:cond-mat/0603090 [cond-mat.supr-con]

2006 arXiv
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N. Maksimovic, D. H. Eilbott, T. Cookmeyer, F. Wan, J. Rusz, V. Nagarajan, S. C. Haley, E. Maniv, A. Gong, S. Faubel, I. M. Hayes, A. Bangura, J. Singleton, J. C. Palmstrom, L. Winter, R. McDonald, S. Jang, P. Ai, Y. Lin, S. Ciocys, J. Gobbo, Y. Werman, P. M. Oppeneer, E. Altm...

2022
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Shishido, R

H. Shishido, R. Settai, H. Harima, and Y. ¯Onuki, A Dras- tic Change of the Fermi Surface at a Critical Pressure in CeRhIn5: dHvA Study under Pressure, Journal of the Physical Society of Japan 74, 1103 (2005)

2005
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Friedemann, T

S. Friedemann, T. Westerkamp, M. Brando, N. Oeschler, S. Wirth, P. Gegenwart, C. Krellner, C. Geibel, and F. Steglich, Detaching the antiferromagnetic quantum critical point from the Fermi-surface reconstruction in YbRh2Si2, Nature Physics 5, 465 (2009)

2009
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Y. He, Y. Yin, M. Zech, A. Soumyanarayanan, M. M. Yee, T. Williams, M. C. Boyer, K. Chatterjee, W. D. Wise, I. Zeljkovic, T. Kondo, T. Takeuchi, H. Ikuta, P. Mistark, R. S. Markiewicz, A. Bansil, S. Sachdev, E. W. Hudson, and J. E. Hoffman, Fermi Surface and Pseudogap Evolutio...

2014 arXiv
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Fujita, C

K. Fujita, C. K. Kim, I. Lee, J. Lee, M. H. Hamidian, I. A. Firmo, S. Mukhopadhyay, H. Eisaki, S. Uchida, M. J. Lawler, E. A. Kim, and J. C. Davis, Simultaneous Transitions in Cuprate Momentum-Space Topology and Electronic Symmetry Breaking, Science 344, 612 (2014), arXiv:1403...

2014 arXiv
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H. Wang, T. B. Park, J. Kim, H. Jang, E. D. Bauer, J. D. Thompson, and T. Park, Evidence for charge delo- calization crossover in the quantum critical superconduc- tor CeRhIn 5, Nature Communications 14, 7341 (2023), arXiv:2311.08928 [cond-mat.str-el]

2023 arXiv
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Sachdev, The foot, the fan, and the cuprate phase diagram: Fermi-volume-changing quantum phase transi- tions, Physica C 633, 1354707 (2025), arXiv:2501.16417 [cond-mat.str-el]

S. Sachdev, The foot, the fan, and the cuprate phase diagram: Fermi-volume-changing quantum phase transi- tions, Physica C 633, 1354707 (2025), arXiv:2501.16417 [cond-mat.str-el]

2025 arXiv
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Y. Fang, G. Grissonnanche, A. Legros, S. Verret, F. Lal- ibert´ e, C. Collignon, A. Ataei, M. Dion, J. Zhou, D. Graf, M. J. Lawler, P. A. Goddard, L. Taillefer, and B. J. Ramshaw, Fermi surface transformation at the pseudo- gap critical point of a cuprate superconductor, Natur...

2022
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M. K. Chan, K. A. Schreiber, O. E. Ayala-Valenzuela, E. D. Bauer, A. Shekhter, and N. Harrison, Observation of the Yamaji effect in a cuprate superconductor, arXiv e-prints , arXiv:2411.10631 (2024), arXiv:2411.10631 [cond-mat.str-el]

2024
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Another observation that adds support to this idea is the behavior of the Hall coefficient RH across p∗

which is consistent with the observations, as we dis- cussed in Section I A. Another observation that adds support to this idea is the behavior of the Hall coefficient RH across p∗. Experi- ments [56] show thatRH drops when going fromp > p∗ to p < p∗. This is consistent with p...
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Badoux, W

S. Badoux, W. Tabis, F. Lalibert´ e, G. Grissonnanche, B. Vignolle, D. Vignolles, J. B´ eard, D. A. Bonn, W. N. Hardy, R. Liang, N. Doiron-Leyraud, L. Taillefer, and C. Proust, Change of carrier density at the pseudogap critical point of a cuprate superconductor, Nature (Lon- ...

2016 arXiv
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Collignon, S

C. Collignon, S. Badoux, S. A. A. Afshar, B. Mi- chon, F. Lalibert´ e, O. Cyr-Choini` ere, J. S. Zhou, S. Licciardello, S. Wiedmann, N. Doiron-Leyraud, and L. Taillefer, Fermi-surface transformation across the pseudogap critical point of the cuprate superconductor La1.6−xNd0.4...

2017 arXiv
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Sachdev, H

S. Sachdev, H. D. Scammell, M. S. Scheurer, and G. Tarnopolsky, Gauge theory for the cuprates near optimal doping, Phys. Rev. B 99, 054516 (2019), arXiv:1811.04930 [cond-mat.str-el]

2019 arXiv
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hTYcagE2gtn/etUUwfn7ydA7E20=

to the ancilla framework. This second framework employs bosonic spinons and spinless fermionic holons in the pseudogap phase [62, 64–73], and there are en- couraging comparisons within the pseudogap to exper- imental data [74] and numerical studies [68, 69, 71]. However, the m...
[64]

Zhang and S

Y.-H. Zhang and S. Sachdev, From the pseudogap metal to the Fermi liquid using ancilla qubits, Phys. Rev. Res. 2, 023172 (2020)

2020
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Zou and D

L. Zou and D. Chowdhury, Deconfined metallic quan- tum criticality: A U(2) gauge-theoretic approach, Physi- cal Review Research 2, 023344 (2020), arXiv:2002.02972 [cond-mat.str-el]

2020 arXiv
[66]

Mascot, A

E. Mascot, A. Nikolaenko, M. Tikhanovskaya, Y.-H. Zhang, D. K. Morr, and S. Sachdev, Electronic spec- tra with paramagnon fractionalization in the single- band Hubbard model, Phys. Rev. B 105, 075146 (2022), arXiv:2111.13703 [cond-mat.str-el]

2022 arXiv
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C. Wang, A. Nahum, M. A. Metlitski, C. Xu, and T. Senthil, Deconfined quantum critical points: sym- metries and dualities, Phys. Rev. X 7, 031051 (2017), arXiv:1703.02426 [cond-mat.str-el]

2017 arXiv
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Sachdev, M

S. Sachdev, M. A. Metlitski, Y. Qi, and C. Xu, Fluctuat- ing spin density waves in metals, Phys. Rev. B80, 155129 (2009), arXiv:0907.3732 [cond-mat.str-el]

2009 arXiv
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Chowdhury and S

D. Chowdhury and S. Sachdev, Higgs criticality in a two-dimensional metal, Phys. Rev. B 91, 115123 (2015), arXiv:1412.1086 [cond-mat.str-el]

2015 arXiv
[70]

Chowdhury and S

D. Chowdhury and S. Sachdev, The Enigma of the Pseu- dogap Phase of the Cuprate Superconductors, in Quan- tum criticality in condensed matter, 50th Karpacz Winter School of Theoretical Physics, edited by J. Jedrzejew- ski (World Scientific, 2015) pp. 1–43, arXiv:1501.00002 [co...

2015 arXiv
[71]

Chatterjee, S

S. Chatterjee, S. Sachdev, and M. S. Scheurer, Intertwin- ing Topological Order and Broken Symmetry in a Theory 16 of Fluctuating Spin-Density Waves, Phys. Rev. Lett.119, 227002 (2017), arXiv:1705.06289 [cond-mat.str-el]

2017 arXiv
[72]

W. Wu, M. S. Scheurer, S. Chatterjee, S. Sachdev, A. Georges, and M. Ferrero, Pseudogap and Fermi- Surface Topology in the Two-Dimensional Hubbard Model, Phys. Rev. X 8, 021048 (2018), arXiv:1707.06602 [cond-mat.str-el]

2018 arXiv
[73]

M. S. Scheurer, S. Chatterjee, W. Wu, M. Ferrero, A. Georges, and S. Sachdev, Topological order in the pseudogap metal, Proc. Nat. Acad. Sci. 115, E3665 (2018), arXiv:1711.09925 [cond-mat.str-el]

2018 arXiv
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Sachdev, Topological order, emergent gauge fields, and Fermi surface reconstruction, Rept

S. Sachdev, Topological order, emergent gauge fields, and Fermi surface reconstruction, Rept. Prog. Phys. 82, 014001 (2019), arXiv:1801.01125 [cond-mat.str-el]

2019 arXiv
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W. Wu, M. S. Scheurer, M. Ferrero, and A. Georges, Effect of van Hove singularities in the onset of pseudo- gap states in Mott insulators, Phys. Rev. Res. 2, 033067 (2020), arXiv:2001.00019 [cond-mat.str-el]

2020 arXiv
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P. M. Bonetti and W. Metzner, SU(2) gauge theory of the pseudogap phase in the two-dimensional Hubbard model, Phys. Rev. B106, 205152 (2022), arXiv:2207.00829 [cond- mat.str-el]

2022 arXiv
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Scholle, P

R. Scholle, P. M. Bonetti, D. Vilardi, and W. Met- zner, Comprehensive mean-field analysis of magnetic and charge orders in the two-dimensional Hubbard model, Phys. Rev. B108, 035139 (2023), arXiv:2303.15358 [cond- mat.str-el]

2023 arXiv
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J. He, C. R. Rotundu, M. S. Scheurer, Y. He, M. Hashimoto, K.-J. Xu, Y. Wang, E. W. Huang, T. Jia, S. Chen, B. Moritz, D. Lu, Y. S. Lee, T. P. Dev- ereaux, and Z.-x. Shen, Fermi surface reconstruction in electron-doped cuprates without antiferromagnetic long- range order, Proc...

2019 arXiv
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Trovarelli, C

O. Trovarelli, C. Geibel, S. Mederle, C. Langhammer, F. M. Grosche, P. Gegenwart, M. Lang, G. Sparn, and F. Steglich, YbRh 2Si2: Pronounced Non-Fermi-Liquid Effects above a Low-Lying Magnetic Phase Transition, Phys. Rev. Lett. 85, 626 (2000)

2000
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Nikolaenko, M

A. Nikolaenko, M. Tikhanovskaya, S. Sachdev, and Y.-H. Zhang, Small to large Fermi surface transition in a single- band model using randomly coupled ancillas, Phys. Rev. B 103, 235138 (2021), arXiv:2103.05009 [cond-mat.str-el]

2021 arXiv
[81]

Shackleton and S

H. Shackleton and S. Zhang, Emergent polaronic cor- relations in doped spin liquids, arXiv e-prints (2024), arXiv:2408.02190 [cond-mat.str-el]

2024 arXiv
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M ¨uller, R

T. M ¨uller, R. Thomale, S. Sachdev, and Y. Iqbal, Pola- ronic correlations from optimized ancilla wave functions for the Fermi-Hubbard model, arXiv e-prints (2024), arXiv:2408.01492 [cond-mat.str-el]

2024 arXiv
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Zhang and S

Y.-H. Zhang and S. Sachdev, Deconfined criticality and ghost Fermi surfaces at the onset of antiferromag- netism in a metal, Phys. Rev. B 102, 155124 (2020), arXiv:2006.01140 [cond-mat.str-el]

2020 arXiv
[84]

Christos, Z.-X

M. Christos, Z.-X. Luo, H. Shackleton, Y.-H. Zhang, M. S. Scheurer, and S. Sachdev, A model ofd-wave super- conductivity, antiferromagnetism, and charge order on the square lattice, Proceedings of the National Academy of Science 120, e2302701120 (2023), arXiv:2302.07885 [cond-...

2023 arXiv
[85]

Christos and S

M. Christos and S. Sachdev, Emergence of nodal Bogoli- ubov quasiparticles across the transition from the pseu- dogap metal to the d-wave superconductor, npj Quantum Materials 9, 4 (2024), arXiv:2308.03835 [cond-mat.str-el]

2024 arXiv
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Christos, H

M. Christos, H. Shackleton, S. Sachdev, and Z.-X. Luo, Deconfined quantum criticality of nodal d-wave super- conductivity, N´ eel order, and charge order on the square lattice at half-filling, Physical Review Research 6, 033018 (2024), arXiv:2402.09502 [cond-mat.str-el]

2024 arXiv
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P. M. Bonetti, M. Christos, and S. Sachdev, Quantum os- cillations in the hole-doped cuprates and the confinement of spinons, Proceedings of the National Academy of Sci- ences 121, e2418633121 (2024), arXiv:2405.08817 [cond- mat.str-el]

2024 arXiv
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Zhang and S

J.-X. Zhang and S. Sachdev, Vortex structure in a d- wave superconductor obtained by a confinement transi- tion from the pseudogap metal, Phys. Rev. B 110, 235120 (2024), arXiv:2406.12964 [cond-mat.str-el]

2024 arXiv

Pith tools

Reviewed August 11, 2026 · model on record in the stance chip above.

[1] [1]

Hartmann, N

S. Hartmann, N. Oeschler, C. Krellner, C. Geibel, S. Paschen, and F. Steglich, Thermopower Evidence for an Abrupt Fermi Surface Change at the Quantum Crit- ical Point of YbRh 2Si2, Phys. Rev. Lett. 104, 096401 (2010)

2010

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Thermoelectric response near a quantum critical point of beta-YbAlB4 and YbRh2Si2: A comparative study

Y. Machida, K. Tomokuni, C. Ogura, K. Izawa, K. Kuga, S. Nakatsuji, G. Lapertot, G. Knebel, J. P. Brison, and J. Flouquet, Thermoelectric Response Near a Quantum Critical Point of β-YbAlB4 and YbRh 2Si2: A Com- parative Study, Phys. Rev. Lett. 109, 156405 (2012), arXiv:1202.2753 [cond-mat.str-el]

work page Pith review arXiv 2012

[3] [3]

skewed” MFL, S ≈ −kB e θc

with permission from the authors. The qualitative features of the curves match up with those in (a). S = − kB e 1 Φ(c) 0 + Φ(f ) 0 L(b) 0 Γc Φ(f ) 0 +L(b) 0 Γf " θc π2 3 Γc Φ′(c) 0 T ∗ c Γc + log Λ 2πT − Re ψ 1 2 + i z 2π 2πgc(0, z(T ∗c )) ! − c−(T )Φ(c) 0 ! − θc T ∗ c T ∗ f L(b) 0 Γc Φ(f ) 0 + L(b) 0 Γf π2 3 Γf Φ′(f ) 0 T ∗ f Γf + log Λ 2πT − Re ψ 1 2 + ...

[4] [4]

The reason for this behavior is clarified using a small- temperature expansion of the Seebeck coefficient, ana- lyzed below in Sec

We can see that the Seebeck coefficient (i) is of the op- posite sign as would be determined by the band structure alone, and initially increases in magnitude with decreas- ing temperature on both sides of the transition, both as expected for a ‘skewed’ MFL, (ii) is larger on the ‘large Fermi surface’ side of the transition and (iii) has quali- tatively d...

[5] [5]

Thermoelectric signature of quantum critical phase in a doped spin liquid candidate

K. Wakamatsu, Y. Suzuki, T. Fujii, K. Miyagawa, H. Taniguchi, and K. Kanoda, Thermoelectric signa- ture of quantum critical phase in a doped spin-liquid candidate, Nature Communications 14, 3679 (2023), 14 arXiv:2201.10714 [cond-mat.str-el]

work page Pith review arXiv 2023

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Z.-Y. Cao, H. Wang, C.-K. Park, T. B. Park, H. Jang, S. Seo, S.-I. Kim, and T. Park, Thermoelectric signature of quantum criticality in the heavy-fermion superconduc- tor CeRhIn 5, arXiv e-prints , arXiv:2408.13604 (2024), arXiv:2408.13604 [cond-mat.supr-con]

arXiv 2024

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Collignon, A

C. Collignon, A. Ataei, A. Gourgout, S. Badoux, M. Lizaire, A. Legros, S. Licciardello, S. Wiedmann, J. Q. Yan, J. S. Zhou, Q. Ma, B. D. Gaulin, N. Doiron- Leyraud, and L. Taillefer, Thermopower across the phase diagram of the cuprate La 1.6−xNd0.4SrxCuO4 : Signa- tures of the pseudogap and charge density wave phases, Phys. Rev. B103, 155102 (2021), arXiv...

arXiv 2021

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Gourgout, G

A. Gourgout, G. Grissonnanche, F. Lalibert´ e, A. Ataei, L. Chen, S. Verret, J.-S. Zhou, J. Mravlje, A. Georges, N. Doiron-Leyraud, and L. Taillefer, Seebeck Coefficient in a Cuprate Superconductor: Particle-Hole Asymmetry in the Strange Metal Phase and Fermi Surface Transfor- mation in the Pseudogap Phase, Phys. Rev. X 12, 011037 (2022)

2022