Hall Voltage Fluctuations as a Diagnostic of Internal Magnetic Field Fluctuations in High Temperature Superconductors and the Half-filled Landau Level

TL;DR

This paper investigates how Hall voltage fluctuations can diagnose internal magnetic field fluctuations in high-temperature superconductors and the half-filled Landau level, providing estimates of their magnitude and frequency dependence.

Contribution

It introduces a method to estimate Hall voltage fluctuations as a probe for magnetic field fluctuations in strongly correlated electron systems, highlighting the role of gauge theories.

Findings

Fluctuations are larger in the half-filled Landau level and high T_c superconductors.

Frequency dependence reveals information about gauge field instantons.

Estimates include magnitude, system size, and frequency characteristics.

Abstract

Fluctuations of the Hall voltage reveal information about long wavelength magnetic field fluctuations. If gauge theories of strongly correlated electrons are correct, such fluctuations are particularly large in the half-filled Landau level and in high $T_c$ superconductors. We present estimates for the magnitude, system size and frequency dependence of these fluctuations. The frequency dependence contains information about instantons in the gauge field.