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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/1904.08953v5 (pdf)
Date accepted: 2020-07-03
Date submitted: 2020-06-04
Submitted by: Cheng, Meng
Submitted to: SciPost Physics
Discipline: Physics
Subject area: Condensed Matter Physics - Theory
Approach: Theoretical

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:
Publication decision taken: accept

Editorial decision: For Journal SciPost Physics: Publish
(status: Editorial decision fixed and (if required) accepted by authors)



List of changes

Major changes:

1. We have significantly expanded section 2 to include more background materials on concepts and ideas used in this work.

2. We renamed Section 5.5 to better reflect the actual content of the section.

3. Citations on gapping of null-vector type in a general Luttinger liquid are updated.


Reports on this Submission

Anonymous Report 1 on 2020-6-30 Invited Report

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I join the other referee in recommending publication.

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Comments

Anonymous on 2020-06-15
Category:
remark

Referee 1: "The authors have addressed all the points I had raised in my report.
I recommend publication of their paper."