Anomalous Transport Phenomena in $p_x+ip_y$ Superconductors

TL;DR

This paper develops a kinetic theory to describe anomalous transport phenomena, such as the Hall effect and Kerr effect, in $p_x+ip_y$ superconductors that break time-reversal symmetry below their critical temperature.

Contribution

It introduces a theoretical framework for understanding anomalous transport effects in $p_x+ip_y$ superconductors, expanding the understanding of their unique electromagnetic responses.

Findings

Derived kinetic equations for anomalous effects

Predicted observable signatures like Kerr rotation

Connected effects to symmetry breaking in superconductors

Abstract

Spontaneous breaking of time-reversal symmetry in superconductors with the $p_x+ip_y$ symmetry of the order parameter allows for a class of effects which are analogous to the anomalous Hall effect in ferromagnets. These effects exist below the critical temperature, $T<T_{c}$. We develop a kinetic theory of such effects. In particular, we consider anomalous Hall thermal conductivity, the polar Kerr effect, the anomalous Hall effect, and the anomalous photo- and acousto-galvanic effects.