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Symmetry-protected topological phases in lattice gauge theories: Topological QED2

G. Magnifico, Davide Vodola Orcid Logo, E. Ercolessi, Prem Kumar Orcid Logo, Markus Muller, A. Bermudez

Physical Review D, Volume: 99, Issue: 1

Swansea University Authors: Davide Vodola Orcid Logo, Prem Kumar Orcid Logo, Markus Muller

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DOI (Published version): 10.1103/physrevd.99.014503

Abstract

The interplay of symmetry, topology, and many-body effects in the classification of phases of matter poses a formidable challenge in condensed-matter physics. Such many-body effects are typically induced by inter- particle interactions involving an action at a distance, such as the Coulomb interacti...

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Published in: Physical Review D
ISSN: 2470-0010 2470-0029
Published: American Physical Society (APS) 2019
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URI: https://cronfa.swan.ac.uk/Record/cronfa48644
first_indexed 2019-01-30T14:03:59Z
last_indexed 2020-07-24T19:08:55Z
id cronfa48644
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spelling 2020-07-24T14:31:38.9131249 v2 48644 2019-01-30 Symmetry-protected topological phases in lattice gauge theories: Topological QED2 d00cf42047dd74f072891c2c8f37f32e 0000-0003-0880-3548 Davide Vodola Davide Vodola true false 087fd097167d724ce1b13cb285741ef5 0000-0003-0867-4213 Prem Kumar Prem Kumar true false 9b2ac559af27c967ece69db08b83762a Markus Muller Markus Muller true false 2019-01-30 BGPS The interplay of symmetry, topology, and many-body effects in the classification of phases of matter poses a formidable challenge in condensed-matter physics. Such many-body effects are typically induced by inter- particle interactions involving an action at a distance, such as the Coulomb interaction between electrons in a symmetry-protected topological (SPT) phase. In this work we show that similar phenomena also occur in certain relativistic theories with interactions mediated by gauge bosons, and constrained by gauge symmetry. In particular, we introduce a variant of the Schwinger model or quantum electrodynamics (QED) in 1+1 dimensions on an interval, which displays dynamical edge states localized on the boundary. We show that the system hosts SPT phases with a dynamical contribution to the vacuum θ-angle from edge states, leading to a new type of topological QED in 1+1 dimensions. The resulting system displays an SPT phase which can be viewed as a correlated version of the Su-Schrieffer-Heeger topological insulator for polyacetylene due to non-zero gauge couplings. We use bosonization and density-matrix renormalization group techniques to reveal the detailed phase diagram, which can further be explored in experiments of ultra-cold atoms in optical lattices. Journal Article Physical Review D 99 1 American Physical Society (APS) 2470-0010 2470-0029 4 1 2019 2019-01-04 10.1103/physrevd.99.014503 COLLEGE NANME Biosciences Geography and Physics School COLLEGE CODE BGPS Swansea University 2020-07-24T14:31:38.9131249 2019-01-30T04:05:19.8950379 G. Magnifico 1 Davide Vodola 0000-0003-0880-3548 2 E. Ercolessi 3 Prem Kumar 0000-0003-0867-4213 4 Markus Muller 5 A. Bermudez 6 0048644-30012019040627.pdf prd_topological_schwinger.pdf 2019-01-30T04:06:27.8530000 Output 2008368 application/pdf Accepted Manuscript true 2019-01-30T00:00:00.0000000 true eng
title Symmetry-protected topological phases in lattice gauge theories: Topological QED2
spellingShingle Symmetry-protected topological phases in lattice gauge theories: Topological QED2
Davide Vodola
Prem Kumar
Markus Muller
title_short Symmetry-protected topological phases in lattice gauge theories: Topological QED2
title_full Symmetry-protected topological phases in lattice gauge theories: Topological QED2
title_fullStr Symmetry-protected topological phases in lattice gauge theories: Topological QED2
title_full_unstemmed Symmetry-protected topological phases in lattice gauge theories: Topological QED2
title_sort Symmetry-protected topological phases in lattice gauge theories: Topological QED2
author_id_str_mv d00cf42047dd74f072891c2c8f37f32e
087fd097167d724ce1b13cb285741ef5
9b2ac559af27c967ece69db08b83762a
author_id_fullname_str_mv d00cf42047dd74f072891c2c8f37f32e_***_Davide Vodola
087fd097167d724ce1b13cb285741ef5_***_Prem Kumar
9b2ac559af27c967ece69db08b83762a_***_Markus Muller
author Davide Vodola
Prem Kumar
Markus Muller
author2 G. Magnifico
Davide Vodola
E. Ercolessi
Prem Kumar
Markus Muller
A. Bermudez
format Journal article
container_title Physical Review D
container_volume 99
container_issue 1
publishDate 2019
institution Swansea University
issn 2470-0010
2470-0029
doi_str_mv 10.1103/physrevd.99.014503
publisher American Physical Society (APS)
document_store_str 1
active_str 0
description The interplay of symmetry, topology, and many-body effects in the classification of phases of matter poses a formidable challenge in condensed-matter physics. Such many-body effects are typically induced by inter- particle interactions involving an action at a distance, such as the Coulomb interaction between electrons in a symmetry-protected topological (SPT) phase. In this work we show that similar phenomena also occur in certain relativistic theories with interactions mediated by gauge bosons, and constrained by gauge symmetry. In particular, we introduce a variant of the Schwinger model or quantum electrodynamics (QED) in 1+1 dimensions on an interval, which displays dynamical edge states localized on the boundary. We show that the system hosts SPT phases with a dynamical contribution to the vacuum θ-angle from edge states, leading to a new type of topological QED in 1+1 dimensions. The resulting system displays an SPT phase which can be viewed as a correlated version of the Su-Schrieffer-Heeger topological insulator for polyacetylene due to non-zero gauge couplings. We use bosonization and density-matrix renormalization group techniques to reveal the detailed phase diagram, which can further be explored in experiments of ultra-cold atoms in optical lattices.
published_date 2019-01-04T13:42:35Z
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score 11.048042

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