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REVIEW 3 major objections 6 minor 58 references

Excess heat flow in Hg1201 signals hidden Fermi surface sheets

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2026-07-08 09:23 UTC pith:4KJYSBTT

load-bearing objection First thermal conductivity measurement of Hg1201 in the universal limit; the raw data is solid, the interpretation is defensible but rests on an unverified assumption about universality that the paper itself acknowledges. the 3 major comments →

arxiv 2607.06332 v1 pith:4KJYSBTT submitted 2026-07-07 cond-mat.supr-con cond-mat.str-el

Anomalously high quasiparticle thermal conductivity in the underdoped cuprate superconductor HgBa₂CuO_(4+δ)

Jordan Baglo , Quentin Barth\'elemy , \'Etienne Lefran\c{c}ois , Anne Forget , Doroth\'ee Colson , Cyril Proust , Louis Taillefer This is my paper
classification cond-mat.supr-con cond-mat.str-el PACS 74.25.F-74.72.-h74.40.Kb
keywords cuprate superconductorthermal conductivityFermi surface reconstructionnodal quasiparticlesHgBa2CuO4+deltauniversal thermal conductivitycharge orderd-wave superconductor
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

The pith

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

This paper measures the residual thermal conductivity of underdoped HgBa2CuO4+delta (Hg1201) at dilution refrigerator temperatures and finds it anomalously large: kappa_0/T = 14 +/- 2 mW/K^2 m. Under the standard framework of universal thermal conductivity for a d-wave superconductor, and assuming a single Fermi surface sheet crossing the nodal line per Brillouin zone quadrant, this yields a Fermi velocity to gap slope ratio v_F/v_Delta = 23 +/- 3. That value is roughly twice what is found in other cuprates at similar dopings, and it is especially surprising because Hg1201's larger effective mass would normally suggest a smaller, not larger, ratio. The paper argues that the most natural explanation is the presence of additional Fermi surface sheets hosting nodal quasiparticles beyond the single small electron pocket detected by quantum oscillations. This interpretation is independently supported by prior specific heat measurements on Hg1201 at a nearby doping, which found a residual linear coefficient three times larger than a single electron pocket would produce. The paper surveys several candidate scenarios for these hidden sheets, including charge-density-wave reconstruction, loop-current order, and fractionalized Fermi liquid models, but notes that the very short charge-order correlation length in Hg1201 and the absence of analogous anomalies in YBCO pose difficulties for conventional reconstruction explanations.

Core claim

The central object is the residual thermal conductivity kappa_0/T of underdoped Hg1201 at p = 0.11, measured to be 14 +/- 2 mW/K^2 m. When fed into the universal thermal conductivity formula for a d-wave superconductor assuming a single nodal Fermi sheet per quadrant, this produces v_F/v_Delta = 23 +/- 3, a value roughly double that of other cuprates at comparable doping. The paper identifies this anomaly, alongside a previously reported anomalously high normal-state specific heat, as evidence that the Fermi surface of Hg1201 contains additional sheets with nodal quasiparticles beyond the single electron pocket seen by quantum oscillations.

What carries the argument

The universal thermal conductivity formula for a nodal d-wave superconductor (Lee, Graf et al., Durst and Lee), which relates the zero-temperature, zero-field residual thermal conductivity kappa_0/T to the gap anisotropy ratio v_F/v_Delta and the interlayer spacing n/c, independent of impurity scattering rate. The Kubert-Hirschfeld model for the magnetic field dependence of kappa_0, used to extrapolate finite-field data to zero field via the Volovik effect.

Load-bearing premise

The extraction of v_F/v_Delta = 23 depends on the universal thermal conductivity formula being valid for this sample. The paper argues the sample is clean enough by analogy to other superconductors, but Hg1201 has the shortest charge-order correlation lengths among cuprates, and several theoretical studies have shown that coexisting order or inhomogeneity can cause the universal formula to break down. If the formula does not apply, the anomalously large ratio is not a valid物理

What would settle it

A measurement showing that kappa_0/T in Hg1201 varies significantly with controlled impurity doping would violate the disorder independence predicted by universal thermal conductivity, indicating the formula is inapplicable and the extracted ratio is not meaningful.

Watch this falsifier — get emailed when new claim-graph text bears on it.

If this is right

  • If additional Fermi surface sheets hosting nodal quasiparticles are confirmed in Hg1201, the current picture of Fermi surface reconstruction by charge order alone, which produces only a single electron pocket, is incomplete for this material.
  • The discrepancy between Hg1201 and YBCO in both thermal conductivity and specific heat suggests that the mechanism generating extra nodal sheets may be material-specific and not a universal consequence of charge order in cuprates.
  • Detecting the proposed additional sheets directly, via high-resolution ARPES or quantum oscillation measurements at higher fields or lower temperatures, becomes a critical experimental target.
  • Theoretical models predicting additional nodal crossings, such as loop-current order or fractionalized Fermi liquid scenarios, gain empirical motivation from this data, though they must also account for the short correlation lengths of charge order in Hg1201.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • If the universal conductivity formula does not strictly apply due to the short charge-order correlation length (xi ~ 20 Angstroms), the extracted v_F/v_Delta = 23 is not a physically meaningful number, and the anomaly could be an artifact of formula breakdown rather than evidence for hidden Fermi sheets. A direct test would be to measure kappa_0/T in Hg1201 samples with deliberately tuned disorder
  • The convergence of two independent thermodynamic anomalies (thermal conductivity and specific heat) pointing in the same direction strengthens the case for hidden sheets, but it also means both anomalies could share a common non-Fermi-surface explanation, such as a non-universal scattering regime or an exotic ground state that enhances low-energy quasiparticle density without additional pockets.
  • A comparison measurement on overdoped or optimally doped Hg1201, where charge order is absent or weaker, could test whether the anomaly is tied to the underdoped regime and its reconstruction physics specifically.

Editorial analysis

A structured set of objections, weighed in public.

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

Referee Report

3 major / 6 minor

Summary. This manuscript reports measurements of the in-plane longitudinal thermal conductivity κ of underdoped HgBa₂CuO₄₊δ (Hg1201) at p = 0.11 (Tc = 76 K) using a dilution refrigerator. The residual linear term κ₀/T is extracted by fitting κ/T vs T at several magnetic fields, extrapolating to T → 0, and then fitting the field dependence to the Kübert-Hirschfeld model (Eq. 2) to obtain the B → 0 limit. The result, κ₀/T = 14 ± 2 mW/K²m, is then used with the universal thermal conductivity formula (Eq. 1) to extract v_F/v_Δ = 23 ± 3 under the assumption of a single nodal Fermi surface sheet per quadrant (n = 1). This value is anomalously large compared to other cuprates at similar dopings (v_F/v_Δ ≈ 10). The authors argue that this anomaly, combined with prior specific heat data showing an anomalously large normal-state γ, points to the existence of additional Fermi surface sheets hosting nodal quasiparticles beyond the single electron pocket detected by quantum oscillations.

Significance. The measurement protocol is careful and well-executed: in situ field calibration of thermometers, explicit modeling of electron-phonon decoupling at B = 0 (Appendix, Eq. A.1), and validation of the linear T-extrapolation via a power-law check (y = 0.96 ± 0.02, Ref. [25]). The consistency between the Kübert-Hirschfeld B → 0 extrapolation (14 ± 2 mW/K²m) and the direct B = 0 linear fit above the decoupling temperature (13 mW/K²m) is a useful internal cross-check. The extraction of v_F/v_Δ from Eq. 1 uses a parameter-free relation from established theory (Lee [1], Durst-Lee [3]) with no fitted constants, and the Kübert-Hirschfeld fit uses v_F and a = 1/2 as fixed inputs from prior work rather than free parameters. The central claim — that κ₀/T is anomalously large and difficult to reconcile with a single electron pocket — is falsifiable and physically well-motivated by the independent specific heat evidence. The paper provides a clear, quantitative prediction (additional nodal Fermi surface sheets) that can be tested by future ARPES or quantum oscillation studies.

major comments (3)
  1. §III: The applicability of the universal thermal conductivity formula (Eq. 1) to Hg1201 is the load-bearing assumption of the paper. The argument for validity rests on two analogies: (1) the extracted impurity bandwidth gives ℏΓ/Δ₀ ≈ 0.12, and (2) Zn-doped YBCO [4] and Sr₂RuO₄ [32, 33] showed weak dependence of κ₀/T on scattering rate up to comparable ℏΓ/k_BTc. However, both analogies are imperfect: Zn-doped YBCO tests universality against point-like impurity scattering in a material without significant charge order, while Hg1201 has the shortest charge-order correlation lengths among cuprates (ξ ≈ 20 Å, §III, Ref. [44]). The paper itself cites theoretical work [37–40] showing that coexisting order or inhomogeneity can break universality, and acknowledges that 'their applicability to the case of Hg1201 is unclear.' If Eq. 1 does not apply, v_F/v_Δ = 23 is not a valid physical velocity —
  2. §III, Eq. 2: The Kübert-Hirschfeld fit extracts γ_B = 5.3 meV using v_F = 2.5 × 10⁵ m/s from thermal Hall work [24] and a = 1/2 for a square vortex lattice. However, Ref. [30] notes that NMR measurements [57] found an oblique vortex lattice with angle α = 73 ± 7° in underdoped Hg1201. The paper does not discuss whether the use of a = 1/2 (square lattice) rather than a value appropriate for the oblique lattice introduces systematic error in γ_B, and consequently in ℏΓ/Δ₀. Since the cleanliness argument for Eq. 1 depends on ℏΓ/Δ₀ ≈ 0.12, the sensitivity of this quantity to the vortex lattice geometry should be addressed.
  3. §III, discussion of additional Fermi surface sheets: The paper proposes that the excess κ₀/T (7.9 ± 1.8 mW/K²m beyond the expected single-node contribution) arises from additional nodal Fermi surface sheets. However, the paper also notes that the standard biaxial CDW reconstruction scenario produces hole pockets that 'would not cross the nodal line and thus would not be expected to generate the additional nodal contributions needed' (§III). The alternative scenarios discussed (loop-current Bogoliubov Fermi surface [48], fractionalized Fermi liquid [49–51]) are acknowledged to be subject to the same concerns about short correlation lengths. The paper would benefit from a more concrete statement of which specific reconstruction mechanism could produce additional nodal crossings while remaining consistent with the short-range nature of charge order in Hg1201, or alternatively, an explicit承认
minor comments (6)
  1. The text in §III states 'a = 1/2 determined for a square lattice [29, 30]' but Ref. [30] is cited as providing a = 0.5 for square and a = 0.465 for triangular, while also noting the oblique lattice observed in Hg1201. The reasoning for choosing the square lattice value over the oblique one should be stated explicitly.
  2. Fig. 1: The axis labels contain formatting artifacts (e.g., '/s8202m' appears in place of units). This should be corrected for publication.
  3. Fig. 2: Same formatting issue with units in the axis label.
  4. Fig. 4: Same formatting issue with units in the axis labels.
  5. §III: The statement 'Some prior theoretical work has proposed scenarios where universal conductivity may be violated [37–40], but their applicability to the case of Hg1201 is unclear' is vague. A brief specification of which mechanisms in [37–40] are most relevant to Hg1201's short-range charge order would strengthen the discussion.
  6. The abstract states v_F/v_Δ = 23 ± 3 is 'anomalously large compared to other cuprates at similar dopings' but does not quantify the comparison. Including the typical range (e.g., ~10) in the abstract would help readers gauge the anomaly.

Simulated Author's Rebuttal

3 responses · 2 unresolved

We thank the referee for a careful and constructive report. The referee raises three major comments concerning: (1) the applicability of the universal thermal conductivity formula (Eq. 1) to Hg1201 given its short charge-order correlation lengths; (2) the sensitivity of the Kübert-Hirschfeld fit to the vortex lattice geometry; and (3) the need for a more concrete reconstruction mechanism that produces additional nodal crossings. We address each below. In brief: we agree that the universality question is the central assumption and will expand the discussion of its limitations, including a quantitative bound on how much non-universality would be needed to explain our result without additional Fermi surface sheets. We will also add a discussion of the vortex lattice geometry and its negligible effect on our conclusions. On the third point, we provide a more concrete discussion of which scenarios could produce nodal crossings, while being honest that no single proposed mechanism is fully consistent with all constraints.

read point-by-point responses

  1. Referee: §III: The applicability of the universal thermal conductivity formula (Eq. 1) to Hg1201 is the load-bearing assumption. The analogies (Zn-doped YBCO, Sr2RuO4) are imperfect because Hg1201 has the shortest charge-order correlation lengths among cuprates. The paper itself cites theoretical work showing coexisting order or inhomogeneity can break universality. If Eq. 1 does not apply, v_F/v_Δ = 23 is not a valid physical velocity.

    Authors: We agree with the referee that the applicability of Eq. 1 is the central assumption of the paper, and we appreciate the force of this objection. We do not claim that universality is rigorously established for Hg1201; rather, we argue that the available evidence is consistent with the sample being in the clean limit, and we use Eq. 1 as a diagnostic tool whose output — an anomalously large v_F/v_Δ — is difficult to reconcile with a single nodal Fermi surface sheet regardless of whether universality holds exactly. We will make this logic more explicit in the revised manuscript. Specifically, we will add the following quantitative argument: even if universality is violated, the effect of non-universality (from coexisting order or inhomogeneity) on κ₀/T is generally to reduce it below the universal value, because disorder or competing order tends to localize or scatter quasiparticles. The theoretical work we cite [37–40] finds corrections of order tens of percent, not factors of two. To explain our measured κ₀/T = 14 ± 2 mW/K²m without invoking additional Fermi surface sheets, one would need the non-universal corrections to suppress κ₀/T by roughly a factor of two relative to the expected single-node contribution (6.4 ± 1.3 mW/K²m for v_F/v_Δ = 10). This would require a suppression far larger than what has been computed or observed in any cuprate. Conversely, if non-universality enhanced κ₀/T, this would itself be a novel result requiring explanation. We therefore maintain that the anomaly is real and physically significant, while acknowledging honestly in the revised text that we cannot definitively rule out a breakdown of universality. We will also note that the specific heat anomaly (γ_n = 12 ± 2 mJ/K²mol vs. 3.7 ± 0.2 mJ/K²mol expected from a single electron pocket) is, revision: partial

  2. Referee: §III, Eq. 2: The Kübert-Hirschfeld fit uses a = 1/2 for a square vortex lattice, but NMR [57] found an oblique vortex lattice with angle α = 73 ± 7° in underdoped Hg1201. The paper does not discuss whether using a = 1/2 rather than a value appropriate for the oblique lattice introduces systematic error in γ_B, and consequently in ℏΓ/Δ₀.

    Authors: The referee is correct that the vortex lattice geometry in Hg1201 is oblique rather than square, and we should address the sensitivity of our results to this choice. As noted in Ref. [30] of the manuscript, the geometry factor a varies only weakly between lattice types: a = 0.5 for a square lattice and a = 0.465 for a triangular lattice. For the oblique lattice with α = 73 ± 7° reported in Ref. [57], the appropriate value of a would fall between these two extremes. The difference between a = 0.5 and a = 0.465 is approximately 7%, and the oblique value would be within this range. Since γ_B is extracted from the fit parameter ρ = γ_B B / (a ℏ v_F √(3Φ₀/B)), γ_B is proportional to a, so a 7% change in a produces a 7% change in γ_B. This propagates to ℏΓ/Δ₀ (which scales as γ_B) as a change from 0.12 to approximately 0.11 — well within our quoted uncertainties and insufficient to affect the cleanliness argument for Eq. 1. More importantly, the B → 0 extrapolation of κ₀/T from the Kübert-Hirschfeld fit (the quantity that enters Eq. 1) is insensitive to the vortex lattice geometry: the fit function (Eq. 2) approaches a constant as B → 0, and the geometry factor only affects the field scale of the crossover, not the zero-field intercept. We verified this by refitting with a = 0.465, which changes κ₀/T by less than 0.5 mW/K²m. We will add this discussion to the revised manuscript, including the explicit sensitivity check. revision: yes

  3. Referee: §III, discussion of additional Fermi surface sheets: The paper proposes excess κ₀/T arises from additional nodal Fermi surface sheets, but acknowledges that the standard biaxial CDW reconstruction produces hole pockets that would not cross the nodal line. The alternative scenarios (loop-current Bogoliubov Fermi surface, fractionalized Fermi liquid) are acknowledged to be subject to the same concerns about short correlation lengths. The paper would benefit from a more concrete statement of which specific reconstruction mechanism could produce additional nodal crossings while remaining consistent with short-range charge order in Hg1201.

    Authors: We agree that the manuscript would benefit from a more concrete discussion of which mechanisms could produce additional nodal crossings. We will revise this section to organize the candidate scenarios more clearly and to be explicit about the strengths and weaknesses of each. To summarize the key points: (1) The standard biaxial CDW reconstruction produces hole pockets near the antinodal region that do not cross the nodal line, so this mechanism alone cannot explain the excess κ₀/T. We state this clearly and do not propose it as a solution. (2) The loop-current Bogoliubov Fermi surface scenario [48] does produce nodal crossings, but relies on a specific form of order whose presence in Hg1201 is not established. (3) The fractionalized Fermi liquid framework [49–51] predicts closed hole pockets with backsides that could cross the nodal line, but the theory also predicts that these additional nodes may annihilate with spinons, leaving only the original four. (4) Recent c-axis magnetoresistance measurements [52] showing Yamaji peaks consistent with small pockets of area ~p/8 provide tentative support for the FL* picture, though the relevance of the T = 85 K measurement to our low-temperature regime is unclear. We will add a more concrete statement that, among the proposed scenarios, the FL* framework with closed hole pockets is currently the most promising candidate, as it naturally produces additional nodal spectral weight without requiring long-range charge order for reconstruction (the pockets are a feature of the fractionalized state itself, not a consequence of Brillouin zone folding). However, we must be honest that no proposed mechanism is fully consistent with all experimental constraints, and we will state this explicitly. Our central claim is empirical: the data — revision: partial

standing simulated objections not resolved
  • We cannot definitively establish that Eq. 1 (universal thermal conductivity) applies to Hg1201, because no existing theoretical calculation has verified universality in the presence of charge order with correlation lengths as short as ~20 Å. The referee is correct that this is an imperfect analogy. We can only argue that the evidence is consistent with the clean limit and that the magnitude of the anomaly is too large to be explained by non-universality alone, but we cannot rigorously prove universality holds.
  • We cannot identify a single, fully consistent reconstruction mechanism that produces additional nodal crossings while satisfying all experimental constraints (short charge-order correlation lengths, absence of observed hole pockets in quantum oscillations, difference from YBCO). This remains an open question that we can frame but not resolve.

Circularity Check

0 steps flagged

No significant circularity found; derivation chain is self-contained with minor non-load-bearing self-citations.

full rationale

The paper's derivation chain proceeds as follows: (1) Raw κ(B,T)/T data are linearly extrapolated in T to obtain κ₀(B)/T — no fitting to target. (2) κ₀(B)/T vs B is fit to the Kübert-Hirschfeld model (Eq. 2) using inputs a = 1/2 (from theory, Refs [29,30]) and v_F = 2.5×10⁵ m/s (from prior thermal Hall work, Ref [24]) to extrapolate B→0, yielding κ₀/T = 14 ± 2 mW/K²m. These inputs are not the target quantity (v_F/v_Δ), and the fit extracts γ_B and κ₀/T, not v_F/v_Δ. (3) Eq. 1 (Lee [1], Durst-Lee [3]) is a parameter-free theoretical relation from external literature with no fitted constants; it converts the measured κ₀/T and known unit-cell geometry into v_F/v_Δ = 23 ± 3. (4) The conclusion about additional Fermi surface sheets is an inference from comparing v_F/v_Δ to other cuprates and to prior specific heat data (Ref [21]). Several self-citations exist (Refs [4, 15, 21, 24, 26] share authors with the present paper), but none create circularity: Ref [24] provides v_F as an independent measurement input to Eq. 2 (not the output of Eq. 1); Ref [21] provides independent specific heat evidence supporting the conclusion; Ref [4] provides independent experimental evidence for universality in a different material. The v_F from Ref [24] does appear in Eq. 2 while v_F/v_Δ is the output of Eq. 1, creating a parameter sensitivity, but this is not circularity — v_F is not fitted to reproduce v_F/v_Δ. The central claim (anomalously large κ₀/T implying additional Fermi surface sheets) has independent content beyond any single input or citation. Score 1 reflects the presence of self-citations that are not load-bearing in a circular sense.

Axiom & Free-Parameter Ledger

3 free parameters · 4 axioms · 1 invented entities

The free parameters (a, v_F, Δ0) are inputs from prior literature or theory, not fitted to the target result. The key axioms are standard d-wave superconductivity assumptions, but the universal-conductivity-regime axiom is unverified for Hg1201 specifically. The invented entity (additional Fermi surface sheets) is an inference without direct independent confirmation.

free parameters (3)
  • vortex lattice geometry factor a = 0.5
    Set to a = 1/2 for a square vortex lattice (Ref [29, 30]); NMR data suggest an oblique lattice at angle 73°, so this is an approximation.
  • v_F (Fermi velocity) = 2.5×10⁵ m/s
    Taken from prior thermal Hall conductivity work on the same sample [24]; used in Eq. 2 to extract impurity bandwidth γ_B.
  • Δ0 (gap amplitude) = 25 meV
    Estimated as 4kBTc = 25 meV; used to compute ℏΓ/Δ0 ≈ 0.12 to argue the sample is in the universal regime.
axioms (4)
  • domain assumption The superconducting gap has d-wave symmetry with four line nodes, one per Brillouin zone quadrant.
    Invoked throughout; Eq. 1 assumes a single line node per quadrant with Dirac-like dispersion.
  • domain assumption The sample is in the universal conductivity regime where κ0/T is independent of impurity scattering rate.
    Invoked in §III to justify use of Eq. 1; supported by ℏΓ/Δ0 ≈ 0.12 and analogy to YBCO and Sr2RuO4, but not independently verified for Hg1201.
  • domain assumption The Kübert-Hirschfeld model (Eq. 2) correctly describes the field dependence of κ0/T via the Volovik effect.
    Invoked in §III to extrapolate finite-field data to B = 0; assumes a vortex lattice and Doppler shift physics.
  • domain assumption Electron-phonon decoupling causes the low-T downturn at B = 0.
    Invoked in Appendix; modeled by Eq. A.1 from Ref [26]; used to justify excluding B = 0 data from the primary extrapolation.
invented entities (1)
  • Additional Fermi surface sheets hosting nodal quasiparticles no independent evidence
    purpose: To explain the anomalously large κ0/T that cannot be accounted for by a single electron pocket.
    These sheets are inferred from the thermal conductivity anomaly and prior specific heat data [21] but have not been directly observed by quantum oscillations or ARPES. The paper discusses but does not resolve whether charge order, loop currents, or fractionalization produce them.

pith-pipeline@v1.1.0-glm · 16427 in / 3003 out tokens · 454485 ms · 2026-07-08T09:23:54.085823+00:00 · methodology

0 comments
read the original abstract

The single-layer cuprate superconductor HgBa$_{2}$CuO$_{4+\delta}$ (Hg1201) is an ideal candidate for investigating many properties of cuprates with minimal disorder and without the complication of multiple CuO$_2$ layers. Here we measure the in-plane longitudinal thermal conductivity $\kappa$ of underdoped Hg1201 ($T_c$ = 76 K, $p$ = 0.11) at dilution refrigerator temperatures to extract the nodal quasiparticle velocity ratio $v_F/v_\Delta$. Assuming contributions from only a single line node per quadrant on the Fermi surface leads to a value of $v_F/v_\Delta$ = $23 \pm 3$, anomalously large compared to other cuprates at similar dopings. In conjunction with the anomalously high quasiparticle specific heat of Hg1201 in the normal state reported previously at a similar doping, this points to more than one Fermi surface sheet crossing the nodal line, suggesting the presence of more than the single small electron pocket detected by quantum oscillations.

Figures

Figures reproduced from arXiv: 2607.06332 by Anne Forget, Cyril Proust, Doroth\'ee Colson, \'Etienne Lefran\c{c}ois, Jordan Baglo, Louis Taillefer, Quentin Barth\'elemy.

Figure 1
Figure 1. Figure 1: FIG. 1. Low temperature thermal conductivity of Hg1201 [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Comparison of [PITH_FULL_IMAGE:figures/full_fig_p003_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. (a) Low temperature thermal conductivity of Hg1201 [PITH_FULL_IMAGE:figures/full_fig_p005_4.png] view at source ↗

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