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Interacting Edge States of Fermionic Symmetry-Protected Topological Phases in Two Dimensions

by Joseph Sullivan, Meng Cheng

Submission summary

As Contributors: Meng Cheng
Arxiv Link: https://arxiv.org/abs/1904.08953v3
Date submitted: 2019-08-23
Submitted by: Cheng, Meng
Submitted to: SciPost Physics
Domain(s): Theoretical
Subject area: Condensed Matter Physics - Theory

Abstract

Recently, it has been found that there exist symmetry-protected topological phases of fermions, which have no realizations in non-interacting fermionic systems or bosonic models. We study the edge states of such an intrinsically interacting fermionic SPT phase in two spatial dimensions, protected by $\mathbb{Z}_4\times\mathbb{Z}_2^T$ symmetry. We model the edge Hilbert space by replacing the internal $\mathbb{Z}_4$ symmetry with a spatial translation symmetry, and design an exactly solvable Hamiltonian for the edge model. We show that at low-energy the edge can be described by a two-component Luttinger liquid, with nontrivial symmetry transformations that can only be realized in strongly interacting systems. We further demonstrate the symmetry-protected gaplessness under various perturbations, and the bulk-edge correspondence in the theory.

Current status:
Editor-in-charge assigned

Submission & Refereeing History

Submission 1904.08953v3 on 23 August 2019

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