Exactly soluble lattice models for non-Abelian states of matter in two dimensions

Maciej Koch-Janusz, Michael Levin, Ady Stern

Research output: Contribution to journalArticlepeer-review

Abstract

Following an earlier construction of exactly soluble lattice models for Abelian fractional topological insulators in two and three dimensions, we construct here an exactly soluble lattice model for a non-Abelian nu = 1 quantum Hall state and a non-Abelian topological insulator in two dimensions. We show that both models are topologically ordered, exhibiting fractionalized charge, ground-state degeneracy on the torus, and protected edge modes. The models feature non-Abelian vortices which carry fractional electric charge in the quantum Hall case and spin in the topological insulator case. We analyze the statistical properties of the excitations in detail and discuss the possibility of extending this construction to three-dimensional non-Abelian topological insulators.
Original languageEnglish
Number of pages13
JournalPhysical Review B
Volume88
Issue number11
DOIs
StatePublished - Sep 2013

Fingerprint

Dive into the research topics of 'Exactly soluble lattice models for non-Abelian states of matter in two dimensions'. Together they form a unique fingerprint.

Cite this