Unconventional Hall Effect in Gapless Superconductors: Transverse Supercurrent Converted from Normal Current

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Hauptverfasser: Wei, Miaomiao, Xiang, Longjun, Xu, Fuming, Wang, Bin, Wang, Jian
Format: Preprint
Veröffentlicht: 2025
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author Wei, Miaomiao
Xiang, Longjun
Xu, Fuming
Wang, Bin
Wang, Jian
author_facet Wei, Miaomiao
Xiang, Longjun
Xu, Fuming
Wang, Bin
Wang, Jian
contents A normal metallic system proximitized by a superconductor can exhibit a gapless superconducting state characterized by segmented Fermi surfaces, as confirmed experimentally. In such a state, quasiparticle states remain gapless along one direction, while a superconducting gap opens in the perpendicular direction. This anisotropy enables a novel Hall effect in gapless superconductors, termed the superconducting Hall effect (ScHE), where a longitudinal normal current carried by quasiparticles is converted into a dissipationless transverse supercurrent. Employing both the thermodynamic approach for bulk systems and quantum transport theory for a four-probe setup, we demonstrate the existence of this effect and reveal its intrinsic origin as the quasiparticle Berry curvature. The predicted ScHE can be experimentally verified via the standard angular-dependent Hall measurements performed on gapless superconductors.
format Preprint
id arxiv_https___arxiv_org_abs_2505_23278
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Unconventional Hall Effect in Gapless Superconductors: Transverse Supercurrent Converted from Normal Current
Wei, Miaomiao
Xiang, Longjun
Xu, Fuming
Wang, Bin
Wang, Jian
Mesoscale and Nanoscale Physics
A normal metallic system proximitized by a superconductor can exhibit a gapless superconducting state characterized by segmented Fermi surfaces, as confirmed experimentally. In such a state, quasiparticle states remain gapless along one direction, while a superconducting gap opens in the perpendicular direction. This anisotropy enables a novel Hall effect in gapless superconductors, termed the superconducting Hall effect (ScHE), where a longitudinal normal current carried by quasiparticles is converted into a dissipationless transverse supercurrent. Employing both the thermodynamic approach for bulk systems and quantum transport theory for a four-probe setup, we demonstrate the existence of this effect and reveal its intrinsic origin as the quasiparticle Berry curvature. The predicted ScHE can be experimentally verified via the standard angular-dependent Hall measurements performed on gapless superconductors.
title Unconventional Hall Effect in Gapless Superconductors: Transverse Supercurrent Converted from Normal Current
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2505.23278