Whether there is the intrinsic Hall effect in a multi-band superconductor?

TL;DR

This paper investigates whether intrinsic Hall effects can exist in multi-band superconductors, focusing on chiral states in Sr2RuO4, and finds that most states do not support intrinsic Hall effects unless interband pairing is present.

Contribution

It demonstrates that common chiral two-band superconducting states in Sr2RuO4 lack intrinsic Hall effects, highlighting interband pairing as a potential condition for their existence.

Findings

Chiral two-band states do not support intrinsic Hall effects.

Interband pairing states could exhibit intrinsic Hall effects.

Most chiral multi-band states are energetically unfavorable for Hall effect presence.

Abstract

The interplay of the microscopic models and the symmetry considerations in application to the superconducting state of putative chiral superconductor Sr2RuO4 are presented. There is demonstrated that chiral two-band superconducting ordering recently proposed as candidate for the superconducting state in this material and having the long-expected property such as the intrinsic Hall effect does not exist as energetically disadvantageous in comparison with the states not supporting the Hall effect. Other chiral multi-band superconducting states with intraband pairing do not support an intrinsic Hall properties as well. The superconducting states with direct interband pairing could serve as the probable candidates for the Hall effect existence.