Temperature Evolution of the Quantum Hall Effect in Quasi-One-Dimensional Organic Conductors

TL;DR

This paper calculates the temperature dependence of Hall conductivity in quasi-one-dimensional organic conductors with spin-density waves, revealing a behavior similar to Fröhlich current, and suggests experimental verification methods.

Contribution

It introduces a theoretical calculation of the temperature evolution of Hall conductivity in FISDW states of organic conductors, linking it to charge/spin-density wave dynamics.

Findings

Temperature dependence of Hall conductivity matches Fröhlich current behavior.

Predicted $\sigma_{xy}(T)$ can be experimentally verified.

Method for reconstructing conductivity tensor from resistivity measurements.

Abstract

The Hall conductivity in the magnetic-field-induced spin-density-wave (FISDW) state of the quasi-one-dimensional organic conductors (TMTSF)$_2$X at a finite temperature is calculated. The temperature dependence of the Hall conductivity is found to be the same as the temperature dependence of the Fr\"ohlich current of a regular charge/spin-density wave. Predicted dependence $\sigma_{xy}(T)$ can be verified experimentally in the (TMTSF)$_2$X compounds if all components of the resistivity tensor are measured and the conductivity tensor is reconstructed.