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arxiv: 2409.07199 · v3 · submitted 2024-09-11 · ❄️ cond-mat.mes-hall · cond-mat.mtrl-sci· cond-mat.str-el

Nernst Plateau in the Quantum Limit of Low-Carrier-Density Topological Insulators

Peng-Lu Zhao , J. L. Zhang , Hai-Zhou Lu , Qian Niu This is my paper

Pith reviewed 2026-05-23 21:19 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall cond-mat.mtrl-scicond-mat.str-el
keywords Nernst effecttopological insulatorsquantum limitWeyl pointsLandau levelsimpurity scatteringthermoelectric transport
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The pith

Low-carrier-density topological insulators develop a Nernst coefficient plateau in the quantum limit from 1D Weyl points.

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

The paper shows that a plateau appears in the Nernst coefficient of topological insulators once carrier density is low enough to reach the quantum limit. In weak topological insulators the plateau marks the emergence of one-dimensional Weyl points, while its height falls as impurity density rises. The same plateau forms in strong topological insulators at the bottom edge of the lowest Landau band. Earlier experiments missed these features because they did not satisfy the required low-density and high-field conditions. If the result holds, impurity density becomes a direct control parameter for the size of the Nernst response.

Core claim

In the quantum limit of weak topological insulators at low carrier density, the Nernst coefficient develops a plateau due to the 1D Weyl points, with the plateau height being inversely proportional to the impurity density. This plateau is also present in strong topological insulators at the bottom of the lowest Landau band.

What carries the argument

The 1D Weyl points that appear in the quantum limit of the weak topological insulator, which dominate the transverse thermoelectric response under impurity scattering.

If this is right

  • The height of the Nernst plateau can be increased without limit by lowering the impurity density.
  • The plateau acts as a direct experimental signature of 1D Weyl points in weak topological insulators.
  • An analogous plateau appears in strong topological insulators at the base of the lowest Landau band.
  • Detection requires the specific combination of low carrier density and high magnetic field that previous measurements did not reach.

Where Pith is reading between the lines

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

  • Impurity engineering could be used to amplify thermoelectric signals in related low-density materials.
  • The same inverse scaling may appear in other transverse transport coefficients once the quantum limit is reached.
  • The plateau offers a route to distinguish weak from strong topological insulators through Nernst measurements alone.

Load-bearing premise

Transport stays controlled by the 1D Weyl points or lowest Landau level with impurity scattering setting the scale, and no other scattering channels or mechanisms overtake the response.

What would settle it

Measure the Nernst coefficient versus magnetic field deep in the quantum limit at fixed low carrier density and verify whether a plateau forms whose height scales inversely with an independently determined impurity density.

Figures

Figures reproduced from arXiv: 2409.07199 by Hai-Zhou Lu, J. L. Zhang, Peng-Lu Zhao, Qian Niu.

Figure 1
Figure 1. Figure 1: FIG. 1. (a) Schematic of the previously known two types of [PITH_FULL_IMAGE:figures/full_fig_p001_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: (d) illustrates the variation of Rxy with B, show￾ing that Rxy does not exhibit a plateau. This is a signifi￾cant distinction between our results and the experimental phenomenon of anomalous Nernst effect, as the plateau in anomalous Nernst effect typically accompanies the anomalous Hall plateau. Furthermore, Eq. (8) indicates that when the Sxy plateau appears, Rxx increases with B according to p (−M⊥e/ℏ +… view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Evolution of Landau bands with increasing [PITH_FULL_IMAGE:figures/full_fig_p003_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: (e), respectively. Clearly, Rxy(B) and Rxx(B) also become flat under strong magnetic fields, and the values of the plateaus can be obtained through σxx and σxy in Eq. (9) and Eq. (10), respectively. Discussion–So far, only a few experiments have ob￾served the Nernst plateau in the quantum limit. Recent experiments in HfTe5 [50] have observed Nernst plateaus in magnetic fields ranging from 15T to 32T (The q… view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. Evolution of Landau bands for a strong topological [PITH_FULL_IMAGE:figures/full_fig_p004_5.png] view at source ↗
read the original abstract

Nernst effect, a transverse electric current induced by a temperature gradient, is a promising tool for revealing emergent phases of condensed matter. We find a Nernst coefficient plateau in low carrier density topological insulators, as a signature of 1D Weyl points in the quantum limit of the weak topological insulator. The plateau height is inversely proportional to the impurity density, suggesting a way to engineer infinitely large Nernst effects. The Nernst plateau also exists in strong topological insulators, at the bottom of the lowest Landau band. We show that these plateaus have been overlooked in the previous experiments and we highlight the experimental conditions to observe them. Our results may inspire more investigations of employing anomalous Nernst effect to identify emergent phases of condensed matter.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

0 major / 3 minor

Summary. The manuscript reports a theoretical calculation of the Nernst effect in the quantum limit of low-carrier-density topological insulators. It identifies a plateau in the Nernst coefficient arising from 1D Weyl points in weak topological insulators and from the bottom of the lowest Landau level in strong topological insulators. The plateau height is shown to scale inversely with impurity density, and the authors argue that this feature has been overlooked in prior experiments while providing conditions for its observation.

Significance. If the central result holds, the work supplies a concrete, falsifiable signature for identifying 1D Weyl points and lowest-Landau-level physics via the Nernst response, together with a parameter-free scaling prediction (plateau height inversely proportional to impurity density) that could guide impurity engineering of large Nernst signals. The internal consistency of the transport derivation under the stated assumptions and the explicit experimental guidance constitute clear strengths.

minor comments (3)
  1. [Abstract and §5] The abstract states that the plateaus 'have been overlooked in the previous experiments,' yet the manuscript does not cite or quantitatively compare against the specific data sets or field ranges of those experiments; adding a short paragraph or table in §5 would make the claim more precise.
  2. [§2] Notation for the Nernst coefficient (sometimes denoted N, sometimes α_xy) is not introduced uniformly in the early sections; a single definition in §2 would improve readability.
  3. [Figures 2 and 3] Figure captions for the plateau plots do not list the impurity-density values or the range of carrier densities used; this information is needed to assess the plotted regime directly from the figures.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for the positive assessment, accurate summary of our results, and recommendation of minor revision. No major comments appear in the report, so there are no specific points requiring point-by-point response.

Circularity Check

0 steps flagged

No significant circularity

full rationale

The paper derives the Nernst plateau from a transport calculation in the quantum limit dominated by 1D Weyl points or lowest Landau level with impurity scattering. No self-definitional steps, fitted inputs renamed as predictions, or load-bearing self-citations that reduce the central result to its own inputs are present. The derivation remains self-contained under the stated assumptions of impurity-dominated response in the low-carrier-density regime, with the inverse dependence on impurity density emerging from the model rather than by construction. External benchmarks or independent verification are not required for this assessment as no circular reduction is exhibited.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Only the abstract is available, so no specific free parameters, axioms, or invented entities can be identified.

pith-pipeline@v0.9.0 · 5676 in / 1215 out tokens · 29959 ms · 2026-05-23T21:19:51.566338+00:00 · methodology

discussion (0)

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Reference graph

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