Non-Abelian Vortex in Graphenelike Systems?

TL;DR

This paper explores the theoretical possibility of non-Abelian vortices in graphene-like systems by extending existing chiral gauge theories with non-Abelian gauge fields, suggesting new topological excitations beyond Abelian models.

Contribution

It introduces a non-Abelian Higgs field in graphene systems, extending previous Abelian models to non-Abelian gauge theories for topological excitations.

Findings

Non-Abelian gauge fields can be generated in graphene-like systems.

Extension of chiral gauge theory to non-Abelian regime.

Potential for new topological excitations in graphene.

Abstract

The Abelian Higgs model is an appropriate field theoretic framework for the description of superconductivity and its topological excitations(Nielson-Olesen-Abrikosov vortex). Recently, C.-Y. Hou etl [ Phys. Rev. lett.\textbf{98} 186809 (2007)]. show that such excitations exist in graphene structures. In this paper, we show that a pseudo non-Abelian Higgs field can also be generated in graphenelike systems. Introducing a non-Abelian gauge field, we extend the chiral gauge theory for graphene constructed by R. Jackiw and S.-Y. Pi [Phys. Rev. Lett. \textbf{98}, 266402 (2007)] to the non-Abelian regime.