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Interacting Edge States of Fermionic Symmetry-Protected Topological Phases in Two Dimensions
by Joseph Sullivan, Meng Cheng
Submission summary
| Authors (as registered SciPost users): | Meng Cheng |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/1904.08953v5 (pdf) |
| Date accepted: | July 3, 2020 |
| Date submitted: | June 4, 2020, 2 a.m. |
| Submitted by: | Meng Cheng |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
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| 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.
List of changes
Major changes:
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We have significantly expanded section 2 to include more background materials on concepts and ideas used in this work.
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We renamed Section 5.5 to better reflect the actual content of the section.
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Citations on gapping of null-vector type in a general Luttinger liquid are updated.
Published as SciPost Phys. 9, 016 (2020)
Anonymous on 2020-06-15 [id 853]
Referee 1: "The authors have addressed all the points I had raised in my report.
I recommend publication of their paper."