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Supercurrent-induced anomalous thermal Hall effect as a new probe to superconducting gap anisotropy

Xiaodong Hu1, Jung Hoon Han2, and Ying Ran1

  • 1Department of Physics, Boston College, Chestnut Hill, Massachusetts 02467, USA
  • 2Department of Physics, Sungkyunkwan University, Suwon 16419, Korea

Phys. Rev. B 108, L041106 – Published 20 July, 2023

DOI: https://doi.org/10.1103/PhysRevB.108.L041106

Abstract

Two-dimensional superconductors have been realized in various atomically thin films such as the twisted bilayer graphene, some of which are anticipated to involve an unconventional pairing mechanism. Due to their low dimensionality, experimental probes of the exact nature of superconductivity in these systems have been limited. We propose, by applying a vertical supercurrent to a bilayer superconductor where the mirror symmetry is naturally broken by the twisting, there will be an anomalous thermal Hall effect induced by the supercurrent that can serve as a sharp probe for the in-plane anisotropy of the superconducting gap function. This effect occurs in the absence of an external magnetic field and spontaneous breaking of the time-reversal symmetry in the ground state. We derive explicit formulas for the induced thermal Hall conductivity and show them to be significant in the examples of twisted cuprates and twisted FeSe where monolayer superconductivity has already been observed. Though technical challenges still exist, we propose this to be a generic probe of the gap anisotropy in a twisted bilayer superconductor.

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