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arxiv: 2604.15062 · v1 · submitted 2026-04-16 · ❄️ cond-mat.mes-hall · cond-mat.str-el

Heat flux deflection induced by hydrodynamic electron transport in a homogeneous Corbino disk under magnetic field

Chuang Zhang , Meng Lian , Hong Liang , Xiaokang Li , Zhaoli Guo , JingTao L\"u This is my paper

Pith reviewed 2026-05-10 09:54 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall cond-mat.str-el
keywords hydrodynamic electron transportCorbino diskheat flux deflectionmagnetic fieldBoltzmann transport equationthermal transport2D materials
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0 comments X

The pith

In a homogeneous Corbino disk under perpendicular magnetic field, hydrodynamic electron transport causes heat flux to develop a tangential component under radial gradients.

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

The paper examines thermal properties of electron transport in a 2D Corbino disk by solving the electron Boltzmann transport equation coupled with the Poisson equation under a perpendicular magnetic field. It establishes that when momentum-conserving electron-electron scattering dominates, radial electric fields or temperature gradients produce a tangential heat flux component in addition to the radial flow. The deflection strengthens with conserving scattering and weakens with relaxing scattering. When the same-direction radial gradients are applied separately, the overall heat flux direction reverses in the hydrodynamic regime compared to other regimes.

Core claim

Results show that in the electron hydrodynamic regime, the heat flux deflection phenomenon appears under the radial electric field or temperature gradient, namely, the heat flux no longer flows only along the radial direction and there is heat flux in the tangential direction of the radius. Heat flux deflection phenomenon is suppressed by momentum-relaxing scattering process and promoted by momentum-conserving scattering process. When an electric potential gradient or temperature gradient in the same direction is applied separately, the direction of heat flux is reversed in the electron hydrodynamic regime.

What carries the argument

The homogeneous Corbino disk geometry under perpendicular magnetic field, modeled via the electron Boltzmann transport equation coupled to the Poisson equation to capture effects from dominant momentum-conserving electron-electron scattering.

Load-bearing premise

The assumption that the system remains in the electron hydrodynamic regime throughout the disk, with momentum-conserving scattering dominating, even after magnetic field and radial gradients are applied.

What would settle it

An experiment that measures only radial heat flux with no detectable tangential component in a Corbino disk sample under radial electric field or temperature gradient, while in the regime where electron-electron scattering dominates, would contradict the deflection prediction.

Figures

Figures reproduced from arXiv: 2604.15062 by Chuang Zhang, Hong Liang, JingTao L\"u, Meng Lian, Xiaokang Li, Zhaoli Guo.

Figure 1
Figure 1. Figure 1: Schematic of a homogeneous Corbino disk geometry with inner and outer radii [PITH_FULL_IMAGE:figures/full_fig_p005_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Temperature contour and heat flux streamline. (a,b) Driven by electric potential gradient [PITH_FULL_IMAGE:figures/full_fig_p005_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: Macroscopic distributions along the radial direction driven by electric potential gradient [PITH_FULL_IMAGE:figures/full_fig_p006_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: Macroscopic distributions along the radial direction driven by temperature gradient [PITH_FULL_IMAGE:figures/full_fig_p009_4.png] view at source ↗
read the original abstract

Hydrodynamic electron transport, namely, the electric behaviors in solid materials at the macroscopic level are similar to the fluid hydrodynamics when the momentum-conserving electron-electron scattering plays the leading role, has got much attention in the past ten years. However, most of previous studies mainly focus on the electric properties. In this work, the thermal behaviors of hydrodynamic electron transport in a homogeneous 2D Corbino disk geometry is studied by the electron Boltzmann transport equation (eBTE) coupled with the Poisson equation under the magnetic field perpendicular to disk plane. Results show that in the electron hydrodynamic regime, the heat flux deflection phenomenon appears under the radial electric field or temperature gradient, namely, the heat flux no longer flows only along the radial direction and there is heat flux in the tangential direction of the radius. Heat flux deflection phenomenon is suppressed by momentum-relaxing scattering process and promoted by momentum-conserving scattering process. When an electric potential gradient or temperature gradient in the same direction is applied separately, the direction of heat flux is reversed in the electron hydrodynamic regime.

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

2 major / 2 minor

Summary. The manuscript numerically solves the electron Boltzmann transport equation (eBTE) self-consistently with the Poisson equation on a homogeneous Corbino disk geometry under a perpendicular magnetic field. It claims that, in the electron hydrodynamic regime where momentum-conserving electron-electron scattering dominates, a radial electric field or temperature gradient produces a tangential (deflected) component of the heat flux in addition to the radial flow; this deflection is suppressed by momentum-relaxing scattering, promoted by conserving scattering, and reverses sign when the electric potential gradient or temperature gradient is applied separately.

Significance. If the result holds, the work extends hydrodynamic electron transport studies from electrical to thermal properties in a clean, symmetric geometry that avoids uncontrolled inhomogeneities. The direct numerical solution of eBTE + Poisson provides a parameter-free platform for observing the deflection and reversal, strengthening the claim that the effect is intrinsic to the momentum-conserving regime.

major comments (2)
  1. [Numerical implementation and results sections] The manuscript should explicitly verify that the hydrodynamic condition (momentum-conserving scattering dominating) remains valid throughout the disk under the applied radial gradients and magnetic field, for example by reporting the position-dependent ratio of e-e to impurity/phonon scattering rates or the local Knudsen number (see the section on scattering rates and the results for varying relaxation times).
  2. [Methods] Convergence of the observed heat-flux deflection with respect to discretization (angular/radial mesh, number of moments in the eBTE expansion) and iteration tolerance of the self-consistent Poisson solver is not shown; without these checks the reversal and tangential component could contain numerical artifacts (see the methods paragraph describing the eBTE discretization).
minor comments (2)
  1. [Results and figures] Notation for the heat flux components (radial vs. tangential) should be defined once in the text and used consistently in all figures and equations.
  2. [Abstract and figure captions] The abstract states the reversal occurs 'when an electric potential gradient or temperature gradient in the same direction is applied separately'; the corresponding figure captions or text should clarify whether the applied gradients have identical magnitudes or are normalized in the same way.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the positive assessment of our work and the recommendation for minor revision. The comments highlight important aspects of numerical validation that we address below by incorporating additional checks into the revised manuscript.

read point-by-point responses

  1. Referee: [Numerical implementation and results sections] The manuscript should explicitly verify that the hydrodynamic condition (momentum-conserving scattering dominating) remains valid throughout the disk under the applied radial gradients and magnetic field, for example by reporting the position-dependent ratio of e-e to impurity/phonon scattering rates or the local Knudsen number (see the section on scattering rates and the results for varying relaxation times).

    Authors: We agree that explicit confirmation of the hydrodynamic regime is essential. In the revised manuscript we will add position-dependent maps (or line cuts) of the ratio between electron-electron and momentum-relaxing scattering rates together with the local Knudsen number evaluated across the Corbino disk for all reported values of the radial electric field, temperature gradient and magnetic field. These quantities are already computed internally in our scattering-rate module; their inclusion will directly demonstrate that momentum-conserving scattering dominates everywhere under the conditions studied. revision: yes

  2. Referee: [Methods] Convergence of the observed heat-flux deflection with respect to discretization (angular/radial mesh, number of moments in the eBTE expansion) and iteration tolerance of the self-consistent Poisson solver is not shown; without these checks the reversal and tangential component could contain numerical artifacts (see the methods paragraph describing the eBTE discretization).

    Authors: We have performed the requested convergence tests. The tangential heat-flux component and the sign reversal remain unchanged (within <1 % relative variation) when the radial and angular mesh densities are doubled, when the number of moments in the spherical-harmonics expansion is increased from the default value, and when the Poisson-solver residual tolerance is tightened by two orders of magnitude. In the revised manuscript we will add a short convergence subsection (or appendix) that tabulates and plots these results for the key observables, thereby ruling out discretization artifacts. revision: yes

Circularity Check

0 steps flagged

No significant circularity; derivation is self-contained numerical solution

full rationale

The paper derives its central claim by numerically solving the electron Boltzmann transport equation (eBTE) self-consistently with the Poisson equation on a homogeneous Corbino disk under perpendicular B. Hydrodynamic conditions are imposed by setting position-independent scattering rates (momentum-conserving e-e scattering dominant), and the heat-flux deflection (non-radial component) emerges as a direct output of that solution when radial E or ∇T is applied. No parameter is fitted to a target quantity that is then re-predicted, no self-definitional loop exists in the governing equations, and no load-bearing uniqueness theorem or ansatz is imported via self-citation. The result is therefore independent of its inputs and falsifiable by changing the scattering hierarchy or geometry.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on the validity of the hydrodynamic approximation and the numerical scheme; no explicit free parameters or invented entities are named in the abstract, but scattering rates and relaxation times are implicitly required.

axioms (1)
  • domain assumption Momentum-conserving electron-electron scattering dominates over momentum-relaxing processes in the studied regime
    Stated directly in the abstract as the condition for the hydrodynamic regime and the deflection effect.

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