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REVIEW 3 major objections 4 minor 41 references

Coexistence of 3D and quasi-2D Fermi surfaces driven by orbital selective Kondo scattering in UTe$_2$

T0 review · 3 major / 4 minor · reviewed 2026-08-09 · deepseek-v4-flash

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Pith's one-line read The paper claims that low-temperature UTe2 hosts both a quasi-2D and a 3D Fermi surface centered at the Brillouin-zone center, produced by orbital-selective Kondo scattering.

desk verdict A serious LQSGW+DMFT calculation that makes a plausible but under-specified claim about coexisting 3D and quasi-2D Fermi surfaces in UTe2; it deserves peer review, but the Fermi-surface definition needs to be made quantitative. read the letter →

arxiv 2502.03646 v1 pith:HAP4YRCJ submitted 2025-02-05 cond-mat.str-el

Byungkyun Kang , Myoung-Hwan Kim , Chul Hong Park This is my paper · ORCID
classification cond-mat.str-el
keywords UTe2KondoeffectFermisurfaceheavyfermiondynamicalmean-fieldtheorytopologicalsuperconductivityorbitalselectivityspin-orbitcoupling
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

UTe$_2$ is a heavy-fermion superconductor whose Fermi surface is experimentally contested: some probes see a three-dimensional sheet, others only quasi-two-dimensional cylinders. This paper argues that both observations are correct because the material has two orbital-dependent Fermi surfaces centered at the Brillouin-zone center $\Gamma$ that behave differently as the temperature falls. Using a first-principles many-body method that includes the Kondo effect, the authors find that a Te2-5p sheet starts as a closed 3D pocket at high temperature and becomes a quasi-2D cylinder at 25 K, while a U-6d sheet remains 3D with a dumbbell shape and gains spectral weight on cooling. The mechanism is orbital-selective Kondo scattering: coherent Kondo hybridization redistributes spectral weight differently for different orbitals, and without spin-orbit coupling the quasi-2D sheet does not form. If correct, the result reconciles the conflicting measurements and keeps topological superconductivity viable, since the 3D $\Gamma$-centered sheet can support odd-parity pairing; the authors note they cannot compute below 25 K due to the sign problem, so the full low-temperature picture is an extrapolation.

What carries the argument

The load-bearing object is the orbital-projected spectral weight $A(\mathbf{k},\omega=0)$ computed by LQSGW+DMFT, a first-principles scheme that combines a self-consistent quasiparticle GW calculation with dynamical mean-field theory for the local U-5f and U-6d self-energies, with spin-orbit coupling included and experimental lattice constants as the only external input. The transformation mechanism is the orbital-selective Kondo effect: the c-axis Kondo hybridization between Te2-5p states of $|j=3/2, j_z=\pm3/2\rangle$ and U-5f states of $|j=5/2, j_z=\pm5/2\rangle$ becomes coherent upon cooling and pushes the Te2-5p spectral weight into a quasi-2D cylinder, while U-6d/U-5f hybridization behaves differently in the $\Gamma$–$Y$ direction and produces the dumbbell 3D sheet. In the calculation without spin-orbit coupling, the $\Gamma$-centered Te2-5p sheet does not appear, so spin-orbit coupling is identified as a necessary ingredient for the quasi-2D reconstruction.

What would settle it

Recompute the orbital-projected spectral weight at several isovalues and locate the poles of $A(\mathbf{k},\omega=0)$: if the $\Gamma$-centered Te2-5p cylinder and U-6d dumbbell disappear at slightly higher cutoffs or appear only as shoulders rather than peaks, the coexistence is a visualization artifact, whereas if the poles persist and a sub-25 K quantum-oscillation measurement resolves the closed 3D pocket, the claim stands.

Watch

Extended reading notes

Core claim

Stated in the Results, the central claim is that ab-initio many-body calculations that explicitly include the Kondo effect reveal the coexistence of 3D and quasi-2D Fermi surfaces centered at the $\Gamma$ point at low temperatures, due to the orbital selective Kondo effect. Concretely, the Te2-5p state with $|j=3/2, j_z=-3/2\rangle$ forms a 3D oblate pocket at high temperature and turns into a quasi-2D cylindrical Fermi surface by 25 K, while the U-6d state with the same quantum numbers forms a 3D dumbbell-shaped sheet centered at $\Gamma$ that becomes sharper on cooling. A non-$\Gamma$-centered quasi-2D cylindrical sheet, mostly from weakly correlated U-6d and Te-5p bands, persists at both temperatures. The authors read this as a Fermi-surface reconstruction driven by Kondo coherence that is orbital- and direction-selective: stronger hybridization along $\Gamma$–Z for Te2-5p makes that sheet cylindrical, while stronger hybridization along $\Gamma$–Y for U-6d gives the dumbbell shape, and the result is presented as the microscopic explanation for why angle-resolved photoemission and quantum oscillation experiments report different dimensionalities.

Load-bearing premise

The load-bearing premise is that the contours drawn from the orbital-projected spectral weight $A(\mathbf{k},\omega=0)$ at a chosen isovalue are genuine quasiparticle Fermi surfaces rather than artifacts of the visualization cutoff, a premise the paper does not establish because it never specifies the threshold, the $\Gamma$-centered features carry weak spectral weight, and temperatures below 25 K are inaccessible due to the sign problem.

Editorial extensions

If this is right

  • The conflicting experimental reports are not contradictory: low-temperature quantum-oscillation and magneto-conductance measurements can be dominated by the non-$\Gamma$-centered quasi-2D cylindrical sheet, while temperature-dependent and orbital-selective probes can resolve the $\Gamma$-centered 3D and quasi-2D sheets.
  • Topological superconductivity in UTe$_2$ is not ruled out by reports of quasi-2D Fermi surfaces, because the calculation finds a clear $\Gamma$-centered 3D U-6d Fermi surface at low temperature that can host the required odd-parity pairing.
  • The appearance of the quasi-2D Te2-5p sheet is a Kondo-coherence effect: below roughly 50 K, coherent hybridization along the $c$ axis turns a closed 3D pocket into a quasi-2D cylinder, with no structural transition involved.
  • Spin-orbit coupling is essential to this reconstruction: in the calculation without spin-orbit coupling, the $\Gamma$-centered Te2-5p quasi-2D sheet does not form.
  • Below 25 K, the two $\Gamma$-centered sheets are expected to gain spectral weight and quasiparticle lifetime as Kondo coherence strengthens, making them more observable even though they remain weaker than the non-$\Gamma$-centered cylinder.

Reading between the lines

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

  • Beyond the paper, the same data could be analyzed for quasiparticle poles rather than spectral-weight isosurfaces; if the $\Gamma$-centered contours are only incoherent shoulders, the claimed 3D-to-quasi-2D transformation would reduce to a plotting artifact rather than a true Fermi-surface topology change.
  • Beyond the paper, the orbital-selective mechanism predicts that other Kondo lattices with multiple conduction orbitals should show temperature-dependent Fermi-surface reconstruction that depends on which orbital a probe couples to, so orbital-sensitive experiments such as resonant ARPES and mass-resolved quantum oscillations could test the general picture.
  • Beyond the paper, if the U-6d 3D sheet is the topological carrier, its weak spectral weight implies that the topological response is tunable by anything that shifts Kondo coherence, such as pressure, disorder, or magnetic field, so the superconducting topological phase may be more fragile than a band-structure calculation would suggest.
  • Beyond the paper, extending the same calculation to the superconducting channel would show whether the coexistence of a quasi-2D Te2-5p cylinder and a 3D U-6d dumbbell at $\Gamma$ stabilizes odd-parity pairing or changes the topological invariant; this is a direct, testable extension of the authors' call for further study.
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Editorial analysis

A structured set of objections, weighed in public.

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

Referee Report

3 major / 4 minor

Summary. The paper reports LQSGW+DMFT calculations for the heavy-fermion superconductor UTe2, including spin-orbit coupling, with all interaction parameters and the double-counting energy computed from first principles using an experimental lattice constant. The central claim is that, upon cooling to 25 K, orbital-selective Kondo coherence produces two coexisting Γ-centered Fermi surfaces: a quasi-2D cylinder from Te2-5p states and a 3D dumbbell from U-6d states, on top of a non-Γ-centered quasi-2D cylindrical sheet. This coexistence is proposed to explain the conflicting quantum-oscillation and ARPES reports of 2D vs. 3D Fermi surfaces and to support the existence of a 3D Fermi surface required for topological superconductivity. The evidence consists primarily of orbital-projected spectral weight A(k,ω=0) maps at different temperatures, together with spectral functions showing enhanced Kondo coherence along selected directions.

Significance. If the central claim is correct, the paper resolves a live experimental controversy in UTe2 and provides a concrete microscopic mechanism (orbital-selective Kondo coherence) for the apparent temperature and probe dependence of the Fermi surface. The main strengths are that the calculation is genuinely first-principles: no correlation parameters are fitted, the Coulomb tensor and double-counting are computed, and the LQSGW+DMFT machinery is state of the art. The paper also correctly emphasizes that the Γ-centered sheets carry weak spectral weight, which is consistent with their being invisible in some probes. However, the significance is contingent on the Fermi surface identification being reliable, and the current evidence is not yet conclusive.

major comments (3)
  1. [Results, 'Transition from 3D to quasi-2D Fermi surface of Te2-5p' and Fig. 2a-c] The Fermi surfaces are identified exclusively from constant-intensity contours of the orbital-projected spectral weight A(k,ω=0) at an unspecified isovalue. For an interacting Kondo lattice, A(k,0) is finite for all k, so any closed or open contour can be generated by choosing the threshold; the text's statement that the U-6d surface is 'visible only at a lower range of spectral weight (<0.06 A(eV))' (Results, 'Enhanced 3D Fermi surface of U-6 d') makes the threshold dependence explicit. The paper should provide direct evidence that these contours correspond to quasiparticle Fermi surfaces: e.g., the locus of poles of the spectral function, the momentum-distribution discontinuity, or a Luttinger count. Without this, the coexistence claim is not established.
  2. [Fig. 1d-e and Fig. 2b-c] The claimed 3D-to-quasi-2D transformation upon cooling is based on comparing contours of A(k,0) at T=900 K and 25 K using the same color scale, but the spectral weight itself changes by roughly an order of magnitude between these temperatures (e.g., 'weak and dispersive' at 900 K vs. 'more increased' at 25 K). A fixed isovalue will therefore produce different pocket sizes and even different topology even if the quasiparticle band structure is unchanged. The authors should demonstrate, for at least one representative k-path, that the peak in A(k,ω) at ω=0 crosses the Fermi level or that the quasiparticle pole evolves continuously as T is lowered.
  3. [Discussion, last two paragraphs] The central claim is about 'low temperatures' (experimental dHvA and STM temperatures are below 1 K), but the calculation is limited to T ≥ 25 K by the sign problem, as stated in the Discussion. The sentence 'as the temperature decreases below 25 K, the Kondo coherence should become stronger' is an extrapolation rather than a result. The paper should either soften the low-temperature claim (e.g., in the title and abstract) or provide a concrete physical argument—such as an estimate of the Kondo scale from the computed self-energy—that the 25 K topology persists at experimental temperatures. As written, the key prediction '3D Fermi surface should exist at low temperature' rests on an untested extrapolation.
minor comments (4)
  1. [Figs. 1-2 captions] The isovalue(s) used to define the Fermi surface contours are never stated in the captions or in the text; please add them, or state explicitly that the contours are guides drawn by hand.
  2. [Fig. 1 caption] The caption appears to mislabel panels: it refers to cross sections at T=25 K (a) and T=900 K (b), but the figure contains panels (c), (d), and (e).
  3. [Methods, section A] The sentence 'The The LQSGW+DMFT approach' contains a duplicated article.
  4. [References] References [3] and [32] are the same paper (Miao et al., PRL 124, 076401), and [10] and [31] are the same paper (Xu et al., PRL 123, 217002); please consolidate these duplicates.

Circularity Check

1 steps flagged · score 2.0 of 10

The Fermi-surface coexistence is computed ab initio and not fitted to the target, but the interpretation leans on the authors' prior Kondo-scale and orbital-channel results, a minor self-citation.

  1. self citation load bearing [Discussion, second paragraph; also Results, 'Transition from 3D to quasi-2D Fermi surface of Te2-5p']
    "Our previous study in the same manner as this work, which predicted the Kondo scale using the calculated density of states and susceptibility, explains the anisotropic electronic resistivity measurements [14, 15]. This should be the evidence for the Fermi surface reconstruction originating from the Kondo effect."

    The paper's attribution of the Fermi-surface reconstruction to the orbital-selective Kondo effect relies on Ref. [14], a prior paper by the same first author, for the ~500 K Kondo scale and for the specific Te2-5p |j=3/2,jz=±3/2> and U-5f |j=5/2,jz=±5/2> hybridization channel. These quantities are cited rather than re-derived, and the sentence explicitly offers that prior work as 'the evidence' for the Kondo origin of the reconstruction. However, the Fermi-surface shapes themselves are newly obtained here from LQSGW+DMFT self-energies and are not fitted to the coexistence result, so the self-citation is interpretive support rather than a construction that forces the central claim.

full rationale

The derivation chain is largely self-contained: LQSGW+DMFT is an ab initio method, the paper fixes only the experimental lattice constant, and it states that all other quantities such as double-counting energy and Coulomb interaction tensor are explicitly computed. No parameter is adjusted to produce the coexistence of the 3D and quasi-2D Fermi surfaces, and the results are compared with independent quantum-oscillation, ARPES, and dHvA experiments. The central claim therefore does not reduce by construction to its inputs. The only circularity-adjacent element is the heavy reliance on the authors' earlier work, Ref. [14], for the Kondo scale and the orbital-selective channel assignment; this is a minor self-citation that shapes the interpretation but does not determine the calculated Fermi-surface topology. A separate, non-circular concern is that the Fermi surfaces are identified as constant-isovalue contours of orbital-projected A(k,0) rather than quasiparticle poles, and the text concedes that some surfaces are 'visible only at a lower range of spectral weight (<0.06 A(eV))'. This could make the 3D-to-2D transformation a threshold artifact, but that is a correctness or visualization risk, not a circular reduction, so it does not raise the circularity score beyond 2.

Assumptions & free parameters 1 free parameters · 4 assumptions · 0 invented entities

No new particles, forces, or conserved quantities are introduced. The main input is the experimental lattice constant; interactions and double-counting are computed from first principles. The free parameters are essentially limited to the visualization threshold for the Fermi surface contours.

free parameters (1)
  • Spectral weight isovalue for Fermi surface visualization = not reported
    The shape and even existence of the Gamma-centered Fermi surfaces depend on the chosen A(k,omega=0) contour, but the specific isovalue is not stated. This is a free choice that directly affects the central claim.
assumptions (4)
  • domain assumption LQSGW+DMFT with two-impurity CTQMC solvers accurately describes the temperature-dependent Kondo physics of UTe2
    The whole calculation rests on this. While the method is established, no direct experimental validation is provided beyond qualitative agreement, and the paper cannot access T<25 K.
  • domain assumption The DMFT local self-energy approximation is valid for UTe2, including the momentum-dependent f-d Kondo hybridization
    The paper attributes Fermi surface reconstruction to momentum-dependent hybridization, yet DMFT treats the self-energy as local. This tension is not resolved.
  • ad hoc to paper The orbital-resolved spectral function at omega=0 with an unspecified isovalue defines the Fermi surface in the interacting system
    The shape and visibility of the Gamma-centered Fermi surfaces depend on the chosen A(k,0) contour; no rigorous quasiparticle pole analysis or Luttinger volume check is provided.
  • ad hoc to paper Kondo coherence continues to strengthen below 25 K so that the predicted coexistence persists at experimental temperatures (below 1 K)
    The authors explicitly note the sign problem prevents lower-temperature simulations and extrapolate the trend. This is a stated assumption.

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Cite this review

Pith. "Pith review of Coexistence of 3D and quasi-2D Fermi surfaces driven by orbital selective Kondo scattering in UTe$_2$." pith.science (2026). https://pith.science/paper/HAP4YRCJ

@misc{pith2026250203646,
  author       = {Pith},
  title        = {Pith review of: Coexistence of 3D and quasi-2D Fermi surfaces driven by orbital selective Kondo scattering in UTe$_2$},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/HAP4YRCJ}},
  note         = {Machine review of arXiv:2502.03646}
}
abstract

The 3D Fermi surface, along with a chiral in-gap state and a Majorana zero energy state, is suggested to play a crucial role in the topologically nontrivial superconductivity in UTe$_2$. However, conflicting experimental observations of the 2D Fermi surface raise questions about topological superconductivity. By combining ab initio many-body perturbation GW theory and dynamical mean-field theory based on Feynman diagrams, we discovered the coexistence of two orbital dependent Fermi surfaces, both centered at the $\Gamma$ point in the Brillouin zone, which are heavily influenced by the orbital-selective Kondo effect. At high temperature, both Fermi surfaces exhibit 3D nature with weak spectral weight due to incoherent Kondo hybridization. Upon cooling down to 25 K, due to the pronounced Kondo coherence, while one Fermi surface remains a robust 3D Fermi surface, the other transforms surprisingly into a quasi-2D Fermi surface, which should be responsible for the experimental observation of 2D character. Our results suggest that the 3D Fermi surface should exist at low temperature for the topological superconductivity. Our findings call for further investigation of the interplay between the two orbital-dependent $\Gamma$-centered Fermi surfaces.

Figures

Figures reproduced from arXiv: 2502.03646 by the authors.

Figure 1
Figure 1. FIG. 1. (a) Crystal structure of UTe [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. FIG. 2. (a) U-6 [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. FIG. 3. (a) The calculated spectral functions and density of states for UTe [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figures from the paper (1 more)
Figure 4
Figure 4. Figure 4: FIG. 4. The calculated orbital projected Fermi surface in the Bril [PITH_FULL_IMAGE:figures/full_fig_p004_4.png]

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Reviewed August 9, 2026 · model on record in the stance chip above.