Magnetotransport theory of layered superconductors in the flux flow steady state is revisited. Longstanding controversies concerning observed Hall sign reversals are resolved. The conductivity separates into a Bardeen-Stephen vortex core contribution, and a Hall conductivity due to moving vortex charge. This charge, which is responsible for Hall anomaly, diverges logarithmically at weak magnetic field. Its values can be extracted from magetoresistivity data by extrapolation of vortex core Hall angle from the normal phase. Hall anomalies in YBCO, BSCCO, and NCCO data are consistent with theoretical estimates based on doping dependence of London penetration depths. In the appendices, we derive the Streda formula for the hydrodynamical Hall conductivity, and refute previously assumed relevance of Galilean symmetry to Hall anomalies.
Cited by 3
Itahashi et al., Giant second harmonic transport under time-reversal symmetry in a trigonal superconductor
Nat Commun 13, 1659 (2022) [Crossref]
Punyamoorty et al., Size dependence in flux-flow Hall effect using time-dependent Ginzburg-Landau equations
Phys. Rev. Research 3, 033144 (2021) [Crossref]
Boyack et al., Unified approach to electrical and thermal transport in high-
Phys. Rev. B 104, 064508 (2021) [Crossref]
Ontology / TopicsSee full Ontology or Topics database.
Authors / Affiliations: mappings to Contributors and OrganizationsSee all Organizations.
- 1 הטכניון – מכון טכנולוגי לישראל / Technion – Israel Institute of Technology
- 2 University of California, San Diego [UCSD]
- Israel Science Foundation [ISF]
- National Science Foundation [NSF]
- United States - Israel Binational Science Foundation (through Organization: United States-Israel Binational Science Foundation [BSF])