Hall Conductivity in a Spin-Triplet Superconductor

TL;DR

This paper calculates the Hall conductivity in a spin-triplet superconductor with a generalized pairing symmetry, providing insights into the order parameter phase relevant for materials like Sr₂RuO₄.

Contribution

It introduces a method to determine the phase of the pairing symmetry in spin-triplet superconductors through Hall conductivity and Kerr rotation measurements.

Findings

Constraints on the phase $$ derived from calculations

Potential to identify order parameter symmetry in Sr₂RuO₄

Guidance for experimental determination of superconducting phase

Abstract

We calculate the Hall conductivity for a spin-triplet superconductor, using a generalized pairing symmetry dependent on an arbitrary phase, $\vphi$. A promising candidate for such an order parameter is Sr$_{2}$RuO$_{4}$, whose superconducting order parameter symmetry is still subject to investigation. The value of this phase can be determined through Kerr rotation and DC Hall conductivity measurements. Our calculations impose significant constraints on $\vphi$.