Observation of a non-Ohmic Hall resistivity above the critical temperature in the high-temperature superconductor YBa$_{2}$Cu$_{3}$O$_{7-\delta}$
I. Puica, W. Lang, K. Siraj, J. D. Pedarnig, D. Bauerle

TL;DR
This study reports the observation of non-Ohmic Hall resistivity behavior above the critical temperature in YBa₂Cu₃O₇−δ, attributed to suppression of superconducting fluctuations under high electric fields, using pulsed-current techniques.
Contribution
First demonstration of non-Ohmic Hall effect above Tc in a high-temperature superconductor due to fluctuation suppression.
Findings
Non-Ohmic Hall resistivity observed above Tc.
High electric fields suppress superconducting fluctuations.
Pulsed-current technique reduces self-heating effects.
Abstract
Investigations of the resistivity and the Hall effect as a function of electric field and temperature in the normal state and upper part of the superconducting transition of an optimally doped, very thin film of YBaCuO are reported. Using a fast pulsed-current technique allowed to reduce the self-heating of the sample and to reach electric fields up to 1 kV/cm. An intrinsic non-Ohmic behavior of the Hall conductivity above the critical temperature that appears to originate from two different, partially counteracting effects is revealed. The major contribution stems from the suppression of Aslamazov-Larkin superconducting fluctuations in high electric fields.
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