TY - JOUR
T1 - Hall anomaly and moving vortex charge in layered superconductors
AU - Auerbach, Assa
AU - Arovas, Daniel P.
N1 - Publisher Copyright:
Copyright A. Auerbach and D. P. Arovas This work is licensed under the Creative Commons Attribution 4.0 International License. Published by the SciPost Foundation.
PY - 2020/4/17
Y1 - 2020/4/17
N2 - 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 YBa2Cu3O7, Bi2Sr2CaCu2O8−x, and Nd1.85Ce0.15CuO4−y 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.
AB - 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 YBa2Cu3O7, Bi2Sr2CaCu2O8−x, and Nd1.85Ce0.15CuO4−y 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.
UR - http://www.scopus.com/inward/record.url?scp=85087374826&partnerID=8YFLogxK
U2 - 10.21468/SciPostPhys.8.4.061
DO - 10.21468/SciPostPhys.8.4.061
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SN - 2542-4653
VL - 8
JO - SciPost Physics
JF - SciPost Physics
IS - 4
M1 - 061
ER -