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REVIEW 3 major objections 5 minor 79 references

Van Hove singularities in twisted double bilayer graphene generate a giant, universally positive Nernst signal.

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Van Hove singularities in twisted double bilayer graphene produce large, tunable, positive Nernst peaks at about 1 K, reproduced by semiclassical Boltzmann theory and a minimal two-band model.

T0 review reviewed 2026-08-01 challenge →

load-bearing objection First equilibrium Nernst data at a van Hove singularity in a twisted platform — real result, but the 'quantitative' theory agreement is a Mott-relation consistency check with an unmeasured DOS-broadening knob. the 3 major comments →

arxiv 2607.25359 v1 pith:QV773JFQ submitted 2026-07-28 cond-mat.mes-hall

Van Hove singularity-driven giant Nernst signal in twisted double bilayer graphene

Ujjal Roy , Monosij Roy , Unmesh Ghorai , Arkaprava Mukherjee , Ravi Kumar , Kenji Watanabe , Takashi Taniguchi , Nandini Trivedi
show 3 more authors
Rajdeep Sensarma Subroto Mukerjee Anindya Das
This is my paper
classification cond-mat.mes-hall
keywords van Hove singularityNernst effecttwisted double bilayer grapheneLifshitz transitionmoiré materialssemiclassical Boltzmann transportMott relationthermoelectric transport
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.

The reading

This paper tries to establish that the Nernst effect—the transverse voltage produced by a longitudinal temperature gradient in a magnetic field—is dramatically enhanced at van Hove singularities in twisted double bilayer graphene. It reports positive Nernst peaks at the valence and conduction vHS, tunable by displacement field, reaching about 40 microvolts per kelvin per tesla at about 1 K, comparable to the best-known Nernst materials. The enhancement is attributed to Lifshitz transitions: at the saddle point the effective mass changes sign, so hot and cold carriers deflect to the same side instead of cancelling. Semiclassical Boltzmann transport with the Mott relation quantitatively reproduces the data, and a minimal two-band tight-binding model shows a positive Nernst peak as a universal signature of a vHS. If correct, the paper establishes the Nernst effect as a sensitive probe of Fermi-surface topology in moiré materials.

Core claim

The paper's central claim is that van Hove singularities in twisted double bilayer graphene produce an unusually large, universally positive Nernst signal that tracks Lifshitz transitions. The sign and magnitude are explained by the effective-mass sign reversal at the saddle point: carriers on either side of the chemical potential deflect in the same transverse direction, so the Nernst response does not cancel. The measured Nernst signal can be computed from the conductivity tensor and theoretical density of states via a semiclassical Mott relation, giving positive peaks at both conduction- and valence-band vHS. This mechanism is distinct from conventional metals, where the Nernst sign depen

What carries the argument

The central identity is the semiclassical generalization of the Mott relation, Eq. (1) in the paper: Syx = (π²/3)(k_B²T/e) cos²Θ_H ∂tanΘ_H/∂n ρ(n)|εF, where Θ_H is the Hall angle, ρ(n) is the density of states, and εF is the Fermi energy. This formula converts the measured Hall angle and theoretical DOS into a Nernst signal. Near a vHS, ∂tanΘ_H/∂n is large and the DOS diverges logarithmically, while the large Hall angle (µB > 1) prevents the small-angle cancellation that suppresses the Nernst response in ordinary metals. A supporting two-band tight-binding model demonstrates the same positive Nernst peak from the vHS.

Load-bearing premise

The central claim rests on treating the mobility as a single, energy-independent, Drude value across the entire n–D plane; if mobility actually varies strongly across the vHS in a way not captured by the σxx(B) fit, the quantitative identification of the Nernst peak with the Lifshitz transition collapses.

What would settle it

A decisive check would be to measure the energy-dependent mobility near the vHS directly—for instance, via quantum oscillations that resolve mobility per Landau level—and recompute Eq. (1) with that mobility. If the predicted peak is absent, or if its sign flips at a vHS where the band structure is independently known, the semiclassical attribution to Lifshitz transitions would fail.

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

If this is right

  • In tDBLG, the Nernst signal can be tuned by displacement field, reaching about 40 µV/K/T at ~1 K for a 1.20° twist, placing it among the strongest known Nernst materials.
  • The positive sign of the Nernst signal around a vHS is argued to be universal, independent of carrier type, unlike the sign behavior in metals and semimetals.
  • Semiclassical Boltzmann transport quantitatively reproduces the measured thermoelectric coefficients from the measured conductivity and theoretical DOS, including the temperature dependence and B-field linearity.
  • A minimal two-band tight-binding model with a vHS and Lifshitz transition reproduces the large positive Nernst peak, supporting the mechanism as a generic band-structure effect.

Where Pith is reading between the lines

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

  • If the mechanism is generic, other moiré or flat-band materials with saddle-point singularities should show similar Nernst peaks, making the effect a rapid screening tool for detecting vHS without requiring high-resolution spectroscopy.
  • The paper's sign argument suggests that a negative Nernst peak around a vHS would signal a different origin (e.g., interactions or fluctuations), providing a discriminator in correlated regimes.
  • The semiclassical framework predicts a specific temperature dependence of the peak height; deviations from the Mott prediction at higher temperatures would indicate the onset of inelastic or multi-band transport.
  • One testable extension would be to measure the Nernst signal in a strained or tilted moiré system where the saddle-point topology is altered, checking whether the positive sign is indeed universal.
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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 / 5 minor

Summary. The paper reports Nernst-effect measurements in twisted double bilayer graphene (tDBLG) devices at twist angles 1.66° and 1.20°, finding sharp positive peaks in the transverse thermoelectric coefficient Syx at carrier densities that coincide with van Hove singularities (vHSs) identified independently via Hall-density divergences and continuum-model DOS. The peak position is tunable by displacement field and the magnitude reaches ~40 µV K⁻¹ T⁻¹ at ~1 K (D2). The authors explain the enhancement using the semiclassical Mott relation [Eq. (1)] fed with the measured conductivity tensor and a theoretical DOS, and they support the mechanism with a minimal two-band triangular-lattice model that reproduces a positive Nernst peak at the vHS. They further claim that the positive sign of Syx around a vHS is universal, making the Nernst effect a probe of Fermi-surface topology in moiré materials.

Significance. If the quantitative claim held, this would be the first equilibrium Nernst study of a twisted moiré system at a vHS and would establish a new experimental probe of Lifshitz transitions. The paper's strengths include: two devices with different twist angles; an independent identification of the vHS trajectory from the Hall-density divergence (Fig. 2c); a BLG control sample (SI S9); comparison of the full thermoelectric tensor α with the Mott prediction (SI S13); and a transparent minimal model that captures the trend. These elements make the central qualitative mechanism (vHS-driven enhancement, positive peak at the Lifshitz transition) plausible. However, the quantitative agreement is not settled: the calculated Syx systematically exceeds the measured value, and the paper's own text attributes the discrepancy to unquantified DOS broadening from twist-angle inhomogeneity. The 'universal sign' claim also goes beyond the evidence presented.

major comments (3)
  1. [Fig. 4d and Conclusion] The comparison in Fig. 4d uses Eq. (1) with the measured conductivity tensor and a theoretical DOS. The calculated Syx (orange) is systematically larger than the measured peak, and the main text states this 'could be due to uncertainty in DOS, since the real device with angle inhomogeneity can broaden the DOS.' No independent measurement or even a fitted value of this broadening is provided, and the SI minimal-model section explicitly says that model magnitudes 'should not be compared with the experimental results.' The Conclusion's claim that the semiclassical analysis 'reproduces this response quantitatively' is therefore not supported; the comparison is a consistency check with an unconstrained broadening parameter. Please either remove 'quantitatively' and describe the agreement as qualitative in peak position and sign, or include a quantitative fit over a plausible DOS-broadening ra
  2. [Abstract, Conclusion, SI S12] The claim that the positive sign of Syx is 'universal around a vHS' goes beyond the evidence. The experiments cover one material (tDBLG at two twist angles), and the minimal model in SI S12 uses a symmetric two-band triangular lattice with equal hoppings (te=th) and a fixed Gaussian broadening. The sign in Eq. (S14) depends on a combination of σxx and σxy derivatives; SI Fig. S22 shows that varying the mass ratio changes peak heights and can introduce negative Nernst regions at high temperature, although the near-vHS peak remains positive in the cases shown. A universality claim requires either a proof from the Boltzmann expression or a systematic scan over representative band parameters and scattering conditions. Otherwise, please soften to 'positive in the systems studied here.'
  3. [Introduction and SI S10] The sign convention for the Nernst coefficient is inconsistent as presented. The introduction defines N = -Syx = -Ey/∇xT (so Syx = Ey/∇xT), and later the paper refers to positive Syx as a positive Nernst signal. In SI S10, Syx is defined as E_y^th/∇xT under the 'vortex convention,' and the sign argument yielding a positive peak is based on that definition. Since the universality claim concerns the sign of Syx, the reader cannot tell whether the reported positive peaks correspond to a positive or negative conventional Nernst coefficient. Please state the convention used for all reported Syx values, define N consistently, and verify that the comparison with Bi and PrFe4P12 uses the same sign convention.
minor comments (5)
  1. [Eq. (1) and Fig. 4e] The notation ∂tanΘ_H/∂n ρ(n) is redundant/ambiguous; since d/dn = (1/ρ) d/dε, the expression equals ∂tanΘ_H/∂ε but the placement of ρ(n) is confusing. In Fig. 4e, 'without the DOS contribution' is unclear. Please define the derivative variable and state whether ρ(n) is the total DOS per unit area.
  2. [Fig. 2 and SI S4] For D2, the theoretical DOS at D=0 is shown but no comparison like the middle panel of Fig. 2c is given; please add the corresponding nH cut and state the twist-angle uncertainty for both devices.
  3. [Throughout] Several typos: 'postive' in SI S7 title; 'the the' in the text around Fig. 1; 'moire band' should be 'moiré band'; missing comma after 'CNP' in Fig. 3a. A careful proofread is needed.
  4. [References to SI] The text refers to 'section 10 of the SI' and 'SI section 11' but the supplementary file does not consistently number sections; ensure cross-references match.
  5. [Methods / Mobility extraction] The Hall mobility extraction uses σxx(B)=σ0/(1+µ²B²); please state whether µ extracted this way is consistent with tanΘ_H = σxy/σxx at the same densities, since the large-Hall-angle regime is important for Eq. (1).

Circularity Check

0 steps flagged

No significant circularity: the semiclassical Nernst calculation is an explicit consistency check using measured conductivity and an independently computed DOS, not a parameter-free prediction; the admitted DOS-broadening discrepancy is a quantitative limitation, not a circular step.

full rationale

The central derivation chain is not circular. The measured Nernst signal Syx is an independent observable, while the calculated curve in Fig. 4d is obtained from the standard Mott/Oganesyan–Ussishkin relation, Eq. (1), using the measured electrical conductivity tensor and a continuum-model DOS. The paper states this explicitly: "Utilizing σ and theoretically calculated DOS, we calculate the Syx using Eq. (1)" (Fig. 4d). This is a consistency check of the Mott relation, not a prediction forced by construction: the input conductivity is measured, not derived from Syx, and the target Syx is separately measured. The vHS positions are established from two independent sets of data—Hall-density divergences and the computed DOS—and the paper says "the divergence of Hall density, followed by a sign change along the n−D trajectory, indicate the position of the vHS... matches well with the position of density at which nH diverges." The admitted magnitude mismatch is also not circular: the paper states "the magnitude of the measured signal is on the smaller side, which could be due to uncertainty in DOS, since the real device with angle inhomogeneity can broaden the DOS, which is not taken into account in the theoretical calculation." This is an unconstrained correction that weakens the quantitative magnitude claim, but no parameter is fitted to the Nernst data and the peak positions and sign are robust. The minimal tight-binding model in SI S12 is explicitly illustrative ("the model used here has the vHSs but does not represent the tDBLG band structure"), so it is not a self-validating ansatz. Self-citations, including refs. 39 and 41, are not load-bearing for the central result: the continuum model is also anchored to independent work (Koshino, ref. 4), and ref. 41 concerns fabrication/measurement methodology. Thus no step reduces, by construction or by self-citation, to its own output.

Axiom & Free-Parameter Ledger

5 free parameters · 5 axioms · 0 invented entities

No new physical entities are postulated. The ledger instead captures the experimental and modeling choices the central claim depends on: twist-angle values, mobility fits, the minimal-model parameters (hopping, offset, Gaussian broadening, relaxation time), the continuum-model DOS, the Mott-relation assumption, and the disorder-broadening assumption used to absorb the magnitude discrepancy.

free parameters (5)
  • Twist angle θ = 1.66° (D1); 1.20° (D2)
    Determined from superlattice filling density ns via θ ≈ sqrt(√3 ns/8a) (SI S2). Sets the moiré band structure and vHS positions, but is not tuned to the Nernst signal.
  • Hall mobility µ(n,D) = e.g., 5.12 ± 0.34 T⁻¹ at n/ns=0.41 (D1); 0.89 T⁻¹ (D2)
    Extracted by fitting σxx(B)=σ0/(1+µ²B²) (Fig. 4b inset; SI Fig. S12a/S14c). Used in Eq. (1) to compute Syx, so the theoretical Syx includes a fitted transport parameter.
  • Minimal-model hopping/offset scale te=th=1, ε0_e=1, ε0_h=-1 = 1 (arbitrary units)
    Chosen ad hoc in SI S12 to produce two bands with vHSs; the model is intended only for trends, not magnitude comparison.
  • Gaussian DOS broadening σ in the minimal model = not stated
    Appears in Eq. S8; sets the width and sharpness of the model vHS peaks and influences the Nernst peak shape.
  • Relaxation time τ0 in the minimal model = τ0 = 1 (arbitrary)
    Constant relaxation time assumed in Eqs. S10-S11; all energy dependence in the model Nernst signal then comes from band structure.
axioms (5)
  • domain assumption Continuum model of tDBLG (refs 3,4,39) gives the correct single-particle band structure, DOS, and vHS positions.
    Used to compute DOS in Fig. 2c-bottom and the semiclassical Syx in Fig. 4d; neglects twist-angle disorder and interaction effects.
  • domain assumption Semiclassical Boltzmann transport with Mott relation α = -(π² k_B² T / 3e) ∂σ/∂ε applies at T ~ 1 K.
    This is Eq. (1) and SI S8; requires degenerate statistics, elastic scattering, and a thermal window small compared with band-structure features.
  • standard math Nernst sign follows the vortex convention and Sondheimer cancellation holds for energy-independent mobility.
    SI S10 and refs 24-26; the cancellation argument underlies the claim that off-vHS Nernst signal is negligible.
  • domain assumption Non-interacting single-particle picture is sufficient away from half-filling.
    Correlated features near half-filling at high negative D are mentioned but not included in the thermoelectric analysis.
  • domain assumption Twist-angle inhomogeneity only broadens the DOS rather than shifting vHS positions or altering the transport tensors.
    Invoked in the Fig. 4d discussion to explain why the calculated Syx magnitude exceeds the measured one, without an independent measurement of the broadening.

reviewed 2026-08-01 · how reviews work

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Cite this review

Pith. "Pith review of Van Hove singularity-driven giant Nernst signal in twisted double bilayer graphene." pith.science (2026). https://pith.science/paper/QV773JFQ

@misc{pith2026260725359,
  author       = {Pith},
  title        = {Pith review of: Van Hove singularity-driven giant Nernst signal in twisted double bilayer graphene},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/QV773JFQ}},
  note         = {Machine review of arXiv:2607.25359}
}
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read the original abstract

Twisted graphene layers host van Hove singularities (vHSs), peaks in the electronic density of states, thought to drive exotic phases in moir\'e materials, but their effect on thermal transport has remained unclear. Here we show that vHSs in twisted double bilayer graphene (tDBLG) generate an unusually large Nernst signal-the transverse voltage produced by a longitudinal temperature gradient in a magnetic field. The pronounced Nernst peaks at the vHSs of the conduction and valence bands of tDBLG are tunable by an electric field with a maximum value of $\sim 40$ $\mu V K^{-1} T^{-1}$ at $\sim 1$ $K$, which is comparable to the best-known Nernst materials. Our theoretical calculations show that the large enhancement of the Nernst signal arises from the Lifshitz transitions around the vHSs. These findings establish the Nernst effect as a sensitive probe of Fermi-surface topology in moir\'e materials, and identify a universal thermoelectric signature of van Hove singularities.

Figures

Figures reproduced from arXiv: 2607.25359 by Anindya Das, Arkaprava Mukherjee, Kenji Watanabe, Monosij Roy, Nandini Trivedi, Rajdeep Sensarma, Ravi Kumar, Subroto Mukerjee, Takashi Taniguchi, Ujjal Roy, Unmesh Ghorai.

Figure 1
Figure 1. Figure 1: Measurement schematic, Lifshitz transitions and thermally driven carrier motion in mag [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Resistance and Hall response tracing vHS. (a) [PITH_FULL_IMAGE:figures/full_fig_p005_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: Thermopower and Nernst response. (a) Line cuts of the thermoelectric coefficients (TEC), Sxx (blue) and Syx (orange) as a function of n/ns for a fixed displacement field, D = 0.1V nm−1 , and B = 1T and T = 0.9K. Sxx changes sign across the vHS and becomes zero at vHS, whereas the Syx exhibits positive peak around the vHS. (b) 2D colormap of the Nernst signal, Syx as function of n/ns and D, for B = 1T and T… view at source ↗
Figure 4
Figure 4. Figure 4: Conductivity, mobility and Nernst from semiclassical theory. (a) [PITH_FULL_IMAGE:figures/full_fig_p009_4.png] view at source ↗

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This paper was first reviewed by deepseek-v4-flash on August 1, 2026.