Vortex in Chiral Superconducting State

TL;DR

This paper explores the unique properties of vortices in chiral p-wave superconductors, revealing fractional charges and angular momentum, and suggesting potential for anyonic behavior and novel electromagnetic effects.

Contribution

It demonstrates that vortices in chiral superconductors exhibit fractional quantum numbers and may behave as anyons, highlighting new electromagnetic phenomena.

Findings

Vortices carry fractional charge and angular momentum.

Vortices may obey fractional statistics as anyons.

Induced electric fields near vortex cores suggest novel electromagnetic effects.

Abstract

We have investigated the vortex in chiral superconductors, especially in p-wave case. In chiral superconductors the Cooper pair has orbital angular momentum hence U(1), parity (P) and time reversal symmetry (T) are broken simultaneously. We have found that the vortex has fractional charge and fractional angular momentum which comes from P- and T-violation. The fractionalization of the angular momentum suggests that the vortex could be anyon which obeys the fractional statistics. We have also pointed out that the electric field is induced near the vortex core and non-trivial electromagnetic phenomena are expected to occur.