Fractionalization in dimerized graphene and graphene bilayer

TL;DR

This paper explores fractional quasiparticle statistics in dimerized graphene and bilayer graphene, revealing two distinct phases based on the nature of elementary objects, and provides topological descriptions for each.

Contribution

It introduces two phases of fractionalization in graphene systems and offers their topological characterizations, expanding understanding of quasiparticle behavior.

Findings

Two phases of fractional quasiparticles identified

Topological descriptions provided for each phase

Graphene bilayer as a natural setting for fractionalization

Abstract

We show that the fractional statistics of quasiparticles in dimerized graphene, in recent proposals for charge and statistics fractionalization, can have two realizations depending whether elementary objects can be considered as point-like or extended objects. Therefore, there are two phases of proposed excitations and we give their topological descriptions with their respective statistics. We propose that a natural setting for fractionalization are certain systems with excitonic instabilities and demonstrate this by an example of graphene bilayer.