Non-Ohmic critical fluctuation Hall conductivity of layered superconductors in strong electric fields

TL;DR

This paper calculates how strong electric fields influence the fluctuation-induced Hall conductivity in layered superconductors, revealing a significant non-Ohmic behavior near the critical temperature.

Contribution

It introduces a theoretical framework for analyzing non-Ohmic fluctuation Hall conductivity under strong electric and magnetic fields in layered superconductors.

Findings

Fluctuation Hall conductivity is suppressed at high electric fields.

Pronounced non-Ohmic behavior predicted near critical temperature.

Behavior observed in high-temperature superconductors at moderate fields.

Abstract

The excess Hall conductivity, resulting from thermal fluctuations of the superconducting order parameter, is calculated for a layered superconductor for an arbitrarily strong in-plane electric field and a perpendicular magnetic field in the frame of the time-dependent Ginzburg-Landau theory. The fluctuation Hall conductivity is suppressed in high electric fields much stronger than the longitudinal one. For high-temperature superconductors we predict a pronounced non-Ohmic behavior of the excess Hall effect near the critical temperature in moderate magnetic fields and electric fields of the order of 100 V/cm.