Anomalous Hall effects in chiral superconductors

Ngampruetikorn, Vudtiwat; Sauls, J. A.

doi:10.3389/fphy.2024.1384275

Title: Anomalous Hall effects in chiral superconductors

Journal Article · 02 May 2024 · Frontiers in Physics

DOI: https://doi.org/10.3389/fphy.2024.1384275 · OSTI ID:2482550

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Northwestern University, Evanston, IL (United States); Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States); City University of New York (CUNY), NY (United States); University of Sydney (Australia)
Northwestern University, Evanston, IL (United States); Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States); Louisiana State University, Baton Rouge, LA (United States)

We report theoretical results for the electronic contribution to thermal and electrical transport for chiral superconductors belonging to even or odd-parity E₁ and E₂ representations of the tetragonal and hexagonal point groups. Chiral superconductors exhibit novel properties that depend on the topology of the order parameter and Fermi surface, and—as we highlight—the structure of the impurity potential. An anomalous thermal Hall effect is predicted and shown to be sensitive to the winding number, ν, of the chiral order parameter via Andreev scattering that transfers angular momentum from the chiral condensate to excitations that scatter off the random potential. For heat transport in a chiral superconductor with isotropic impurity scattering, i.e., point-like impurities, a transverse heat current is obtained for ν = ± 1, but vanishes for | ν | > 1. This is not a universal result. For finite-size impurities with radii of order or greater than the Fermi wavelength, R ≥ ℏ / p f, the thermal Hall conductivity is finite for chiral order with | ν | ≥ 2, and determined by a specific Fermi-surface average of the differential cross-section for electron-impurity scattering. Our results also provide quantitative formulae for analyzing and interpreting thermal transport measurements for superconductors predicted to exhibit broken time-reversal and mirror symmetries.

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Research Organization:: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)

Sponsoring Organization:: National Science Foundation (NSF); USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: AC02-07CH11359

OSTI ID:: 2482550

Report Number(s):: FERMILAB-PUB-19-0878-SQMS-V; arXiv:1911.06299; oai:inspirehep.net:2856188

Journal Information:: Frontiers in Physics, Journal Name: Frontiers in Physics Vol. 12; ISSN 2296-424X

Publisher:: Frontiers Research FoundationCopyright Statement

Country of Publication:: United States

Language:: English

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