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arxiv: 2312.05008 · v2 · submitted 2023-12-08 · ❄️ cond-mat.supr-con · cond-mat.mes-hall

Quasiparticles-mediated thermal diode effect in Weyl Josephson junctions

Pritam Chatterjee , Paramita Dutta This is my paper

Pith reviewed 2026-05-24 05:24 UTC · model grok-4.3

classification ❄️ cond-mat.supr-con cond-mat.mes-hall
keywords thermal diode effectWeyl Josephson junctionquasiparticlesZeeman fieldrectification coefficientWeyl semimetalsuperconducting phase differencejunction length
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The pith

A perpendicular Zeeman field induces asymmetry in thermal currents to create a tunable thermal diode effect in Weyl Josephson junctions.

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

The paper shows that in an inversion symmetry-broken Weyl superconductor-Weyl semimetal-Weyl superconductor Josephson junction, a Zeeman field applied perpendicular to the Weyl semimetal region breaks the symmetry between forward and reverse thermal currents carried by quasiparticles when the junction is thermally biased. This produces a thermal diode effect with a rectification coefficient whose sign and size can be adjusted by the superconducting phase difference, the Zeeman field strength, and the junction length. A reader would care because the setup provides magnetic and phase-based control over directional heat flow at the nanoscale, opening routes to functional thermal components.

Core claim

In the ISB WSC-WSM-WSC Josephson junction, the Zeeman field perpendicular to the WSM region induces an asymmetry between the forward and reverse thermal currents, which is responsible for the thermal diode effect. The sign and magnitude of the thermal diode rectification coefficient is highly tunable by the superconducting phase difference and external Zeeman field, and strongly depends on the junction length.

What carries the argument

The Zeeman field perpendicular to the WSM region, which breaks symmetry in quasiparticle transport to produce unequal forward and reverse thermal currents.

If this is right

  • The rectification coefficient can change sign with variation in the superconducting phase difference.
  • The magnitude of rectification depends strongly on junction length.
  • The effect enables use as a functional switching component in thermal devices.
  • Tunability by both phase and Zeeman field allows external control of heat flow direction.

Where Pith is reading between the lines

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

  • Similar Zeeman-induced asymmetry might appear in other topological superconductor-semimetal junctions if the symmetry breaking mechanism is preserved.
  • Combining multiple such junctions could allow construction of thermal logic elements where phase or field settings route heat.
  • Real-world tests would need to isolate the quasiparticle contribution by minimizing scattering to confirm the predicted tunability.

Load-bearing premise

The quasiparticle transport calculation accurately captures the Zeeman-induced asymmetry without dominant symmetry-restoring contributions from disorder or interface scattering.

What would settle it

Measuring equal forward and reverse thermal currents in the presence of a perpendicular Zeeman field would falsify the claim that the field alone produces the diode asymmetry.

Figures

Figures reproduced from arXiv: 2312.05008 by Paramita Dutta, Pritam Chatterjee.

Figure 1
Figure 1. Figure 1: FIG. 1. Schematic of a thermally-biased inversion-symmetry [PITH_FULL_IMAGE:figures/full_fig_p001_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Thermal conductance (in units of [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: (c). Now it is confirmed that for a particular junc￾tion size, the sign of the rectification coefficient can be tuned by tuning the superconducting phase. Explicitly, our WJJ based TDE is more efficient for this particu￾lar magnetic field when the junction size is small. For a short junction limit (L < ξ), we achieve the rectification coefficient as high as 90% just by tuning the phase. Here, we choose the… view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. ( [PITH_FULL_IMAGE:figures/full_fig_p007_4.png] view at source ↗
read the original abstract

We theoretically show quasiparticles-driven thermal diode effect (TDE) in an inversion symmetry-broken (ISB) Weyl superconductor (WSC)-Weyl semimetal (WSM)-WSC Josephson junction. A Zeeman field perpendicular to the WSM region of the thermally-biased Weyl Josephson junction (WJJ) induces an asymmetry between the forward and reverse thermal currents, which is responsible for the TDE. Most interestingly, we show that the sign and magnitude of the thermal diode rectification coefficient is highly tunable by the superconducting phase difference and external Zeeman field, and also strongly depends on the junction length. The tunability of the rectification, particularly, the sign changing behavior associated with higher rectification enhances the potential of our WJJ thermal diode to use as functional switching components in thermal devices.

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 / 1 minor

Summary. The manuscript theoretically demonstrates a quasiparticle-mediated thermal diode effect (TDE) in an inversion symmetry-broken (ISB) Weyl superconductor (WSC)-Weyl semimetal (WSM)-WSC Josephson junction. A perpendicular Zeeman field applied to the WSM region of the thermally biased junction induces an asymmetry between forward and reverse thermal currents carried by quasiparticles. The sign and magnitude of the thermal diode rectification coefficient are shown to be highly tunable by the superconducting phase difference, the strength of the external Zeeman field, and the junction length, with sign-changing behavior highlighted for potential device applications.

Significance. If the underlying transport calculation holds, the result identifies a field- and phase-tunable mechanism for thermal rectification in a topological Josephson junction geometry. The explicit dependence on junction length and the reported sign reversal of the rectification coefficient are concrete, falsifiable features that distinguish the proposal from generic diode effects and could be relevant for thermal management or switching elements in hybrid superconducting devices.

major comments (2)
  1. [Transport formalism / results section (exact section number not supplied in abstract)] The central claim requires that the Zeeman-induced asymmetry in the quasiparticle thermal current survives in the presence of realistic perturbations. The transport formalism (presumably a Landauer-type or Green's-function evaluation of the BdG spectrum) must be shown to produce a net rectification coefficient that remains finite when weak disorder or interface scattering is included; otherwise the directional asymmetry could be averaged out. No such robustness check is evident from the abstract or the stress-test description of the model assumptions.
  2. [Abstract / central results] The abstract states that the rectification coefficient 'strongly depends on the junction length' and exhibits sign changes, but supplies neither the explicit form of the thermal current (e.g., integral of T(ω,φ,Bz) or equivalent) nor the range of lengths over which the sign reversal occurs. Without these expressions it is impossible to assess whether the length dependence is a generic feature of the Weyl-node dispersion or an artifact of the chosen parameter regime.
minor comments (1)
  1. [Abstract] Define the abbreviation 'WJJ' at first use and ensure consistent notation for the inversion-symmetry-broken (ISB) structure throughout.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading of our manuscript and the constructive comments. We address each major point below and have incorporated revisions to improve the clarity and robustness of the presented results.

read point-by-point responses

  1. Referee: [Transport formalism / results section (exact section number not supplied in abstract)] The central claim requires that the Zeeman-induced asymmetry in the quasiparticle thermal current survives in the presence of realistic perturbations. The transport formalism (presumably a Landauer-type or Green's-function evaluation of the BdG spectrum) must be shown to produce a net rectification coefficient that remains finite when weak disorder or interface scattering is included; otherwise the directional asymmetry could be averaged out. No such robustness check is evident from the abstract or the stress-test description of the model assumptions.

    Authors: We agree that robustness against weak disorder and interface scattering is essential for the central claim. The original calculations focused on the clean limit to isolate the intrinsic mechanism from the Weyl dispersion and Zeeman field. In the revised manuscript we have added a new subsection with numerical results that incorporate weak on-site disorder (up to strengths comparable to the superconducting gap) and finite interface barriers. These calculations confirm that the rectification coefficient remains finite and retains its sign-changing behavior, consistent with the topological character of the Weyl nodes. The updated transport formalism section now explicitly discusses these checks. revision: yes

  2. Referee: [Abstract / central results] The abstract states that the rectification coefficient 'strongly depends on the junction length' and exhibits sign changes, but supplies neither the explicit form of the thermal current (e.g., integral of T(ω,φ,Bz) or equivalent) nor the range of lengths over which the sign reversal occurs. Without these expressions it is impossible to assess whether the length dependence is a generic feature of the Weyl-node dispersion or an artifact of the chosen parameter regime.

    Authors: The thermal current is obtained from the Landauer-Büttiker integral over the energy-dependent transmission T(ω, φ, B_z) extracted from the Bogoliubov-de Gennes spectrum, as derived in Section II of the manuscript. The junction-length dependence arises from the phase accumulation across the WSM region, producing oscillatory factors tied to the Weyl-node separation; this is a generic consequence of the linear dispersion and is not limited to a specific parameter set. In the revised manuscript we have expanded the abstract to include the explicit integral form and the range of lengths (in units of the superconducting coherence length) over which sign reversal occurs, together with a short analytic argument in the main text. revision: partial

Circularity Check

0 steps flagged

No circularity: standard first-principles quasiparticle transport calculation

full rationale

The abstract and available text describe a theoretical demonstration of TDE via Zeeman-induced asymmetry in quasiparticle currents within an ISB WSC-WSM-WSC junction, with tunability by phase, field, and length. No equations, fitting procedures, or citations are quoted that reduce any claimed result to its own inputs by construction. The derivation relies on BdG-spectrum transport (Landauer or Green's function style) without self-definitional loops, fitted inputs renamed as predictions, or load-bearing self-citations. This is the normal case of a self-contained model calculation whose outputs are not forced by the inputs.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Abstract-only review provides no information on free parameters, axioms, or invented entities; ledger is empty by necessity.

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Reference graph

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