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arxiv: 2606.31851 · v1 · pith:NMOCVHJUnew · submitted 2026-06-30 · ❄️ cond-mat.supr-con · cond-mat.mes-hall

Anomalous Hall Effect Driven by Chiral Superconductivity

Vladislav Poliakov , Alex Levchenko , Leonid Levitov This is my paper

Pith reviewed 2026-07-01 02:35 UTC · model grok-4.3

classification ❄️ cond-mat.supr-con cond-mat.mes-hall
keywords chiral superconductivityanomalous Hall effectCoulomb dragquasiparticle currentsupercurrentzero-field transportunconventional pairing
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0 comments X

The pith

Chiral superconductivity produces an abrupt zero-field Hall voltage below Tc whose sign tracks the order-parameter phase winding.

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

The paper proposes a zero-field Hall drag effect between quasiparticles in a chiral superconductor and those in an adjacent normal layer as a direct transport signature of unconventional pairing. A minimal hydrodynamic model shows that, under open-circuit conditions, the supercurrent exactly cancels the net current in the superconducting layer while a finite quasiparticle current remains and generates the transverse response. The resulting anomalous Hall voltage therefore appears suddenly when temperature drops below Tc. A sympathetic reader would care because existing probes of chiral superconductivity are mostly indirect, while this effect is a dc transport signal whose polarity directly encodes the chirality.

Core claim

In a bilayer of chiral superconductor and time-reversal-symmetric normal metal, Coulomb drag mediated solely by quasiparticles produces an anomalous Hall voltage that turns on abruptly at Tc. The hydrodynamic theory treats both the quasiparticle normal current and the condensate supercurrent; the open-circuit boundary condition forces the supercurrent to cancel the total layer current, leaving only the quasiparticle component to drive the transverse drag whose sign follows the superconducting order-parameter phase winding.

What carries the argument

Minimal hydrodynamic theory of interlayer Coulomb drag that includes both quasiparticle normal current and condensate supercurrent under open-circuit boundary conditions.

If this is right

  • The Hall voltage signal turns on discontinuously upon cooling through Tc.
  • The voltage polarity directly reflects the sign of the superconducting order-parameter phase winding.
  • No external magnetic field is required for the effect to appear.
  • The response vanishes above Tc and is carried exclusively by quasiparticles once supercurrent cancellation is enforced.

Where Pith is reading between the lines

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

  • Bilayer devices with controlled interface transparency could be used to test candidate chiral superconductors by measuring the polarity of the drag voltage.
  • The same open-circuit cancellation mechanism might produce related transverse responses in other hybrid geometries or at finite frequency.
  • If the quasiparticle drag dominates, the magnitude of the Hall signal should scale with the quasiparticle density of states just below Tc.

Load-bearing premise

The open-circuit condition in the superconducting layer causes the condensate supercurrent to exactly cancel the net layer current while leaving a finite quasiparticle current that alone mediates the transverse drag response.

What would settle it

Absence of an anomalous Hall voltage that appears abruptly at Tc with polarity set by the superconducting phase winding, in a bilayer device where the superconducting layer is held under open-circuit conditions.

Figures

Figures reproduced from arXiv: 2606.31851 by Alex Levchenko, Leonid Levitov, Vladislav Poliakov.

Figure 1
Figure 1. Figure 1: FIG. 1. a) Zero-field Hall drag geometry: a chiral supercon [PITH_FULL_IMAGE:figures/full_fig_p001_1.png] view at source ↗
read the original abstract

Direct dc-current signatures of unconventional superconductivity remain scarce. Existing probes of unconventional pairing are typically indirect, relying on phase-diagram anomalies, responses to external fields, or optical measurements. Here we propose a zero-field Hall drag effect as a direct transport signature of chiral superconductivity. The effect arises from Coulomb drag between quasiparticles in a chiral superconductor and those in an adjacent time-reversal-symmetric normal layer. We develop a minimal hydrodynamic theory that includes both quasiparticle normal current and condensate supercurrent in the superconducting layer. In an open-circuit superconducting layer, the condensate generates a counterflowing supercurrent that cancels the net layer current, while a finite quasiparticle current remains and mediates the transverse drag response. This results in anomalous Hall voltage signal appearing abruptly when $T$ is lowered below $T_c$, of the sign reflecting the sign of the superconducting order parameter phase winding.

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

1 major / 0 minor

Summary. The manuscript proposes a zero-field anomalous Hall drag effect in a bilayer consisting of a chiral superconductor adjacent to a time-reversal-symmetric normal layer. A minimal hydrodynamic theory is invoked to argue that, under open-circuit conditions in the superconducting layer, the condensate supercurrent exactly cancels the net layer current while a finite quasiparticle current remains; this quasiparticle current then experiences transverse Coulomb drag, producing an anomalous Hall voltage that onsets abruptly below Tc with a sign set by the superconducting order-parameter phase winding.

Significance. If the hydrodynamic separation of supercurrent and quasiparticle current under open-circuit conditions can be demonstrated, the proposed effect would constitute a direct, zero-field dc transport signature of chiral superconductivity that is sensitive both to the onset of pairing and to the sign of the phase winding. Such a probe would be valuable given the current scarcity of direct transport diagnostics for unconventional pairing.

major comments (1)
  1. [Abstract] The central claim rests on the assertion that open-circuit boundary conditions produce a finite quasiparticle current that alone mediates the transverse drag. No two-fluid hydrodynamic equations, continuity relations, momentum-balance equations, or explicit drag-force terms are supplied to establish that the drag acts exclusively on the normal fluid without inducing a compensating superfluid-velocity adjustment that would drive the quasiparticle current to zero (see abstract description of the minimal hydrodynamic theory).

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their careful reading and constructive comments on our manuscript. We address the single major comment below and will revise the manuscript to incorporate the requested details.

read point-by-point responses

  1. Referee: [Abstract] The central claim rests on the assertion that open-circuit boundary conditions produce a finite quasiparticle current that alone mediates the transverse drag. No two-fluid hydrodynamic equations, continuity relations, momentum-balance equations, or explicit drag-force terms are supplied to establish that the drag acts exclusively on the normal fluid without inducing a compensating superfluid-velocity adjustment that would drive the quasiparticle current to zero (see abstract description of the minimal hydrodynamic theory).

    Authors: We agree that the abstract provides only a qualitative outline and that the explicit two-fluid equations are not supplied in the manuscript. In the revised version we will add a section presenting the hydrodynamic equations: the continuity relations for normal and superfluid densities, the momentum-balance equation for the normal fluid that includes the explicit Coulomb-drag term proportional to the relative velocity between layers, the condition that the supercurrent is determined solely by the phase gradient (with no direct drag force on the condensate), and the open-circuit constraint that the layer-integrated total current vanishes. These equations show that the superfluid velocity adjusts instantaneously to cancel the net current while leaving a finite quasiparticle current that alone experiences the transverse drag; because the condensate is dissipationless, no compensating adjustment is induced that would drive the quasiparticle current to zero. revision: yes

Circularity Check

0 steps flagged

No circularity: derivation follows from stated hydrodynamic assumptions without reduction to inputs

full rationale

The paper constructs a minimal two-fluid hydrodynamic model for Coulomb drag between a chiral superconductor and normal layer. The anomalous Hall signal is obtained by applying open-circuit boundary conditions to the supercurrent and quasiparticle current components, with the transverse response following directly from the drag term acting on the remaining quasiparticle flow. No parameter is fitted to data and then relabeled as a prediction, no self-citation supplies a load-bearing uniqueness theorem, and no ansatz is smuggled in. The central result is therefore independent of the inputs rather than equivalent to them by construction.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on the applicability of a minimal hydrodynamic description to the bilayer system and on the open-circuit current cancellation leaving a quasiparticle drag channel; no explicit free parameters or new entities are introduced in the abstract.

axioms (1)
  • domain assumption A minimal hydrodynamic theory suffices to capture both quasiparticle normal current and condensate supercurrent in the superconducting layer.
    Explicitly stated as the framework developed in the abstract.

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Reference graph

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