Fractional charge and statistics in the fractional quantum spin Hall effect

TL;DR

This paper investigates the topological properties of quasihole excitations in the fractional quantum spin Hall state, revealing their fractional charge and statistics through Chern-Simons theory and Berry phase analysis.

Contribution

It identifies two types of fundamental quasihole excitations and demonstrates their charge and statistical properties using two different theoretical approaches.

Findings

Two types of quasihole excitations with distinct fractional charges.

Identical statistical angles for each quasihole type.

Mutual statistics between different quasiholes are also identical.

Abstract

In this paper, we consider there exist two types of fundamental quasihole excitation in the fractional quantum spin Hall state and investigate their topological properties by both Chern-Simons field theory and Berry phase technique. By the two different ways, we obtain the identical charge and statistical angle for each type of quasihole, as well as the identical mutual statistics between two different types of quasihole excitation.