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  Supersymmetric Free Fermions and Bosons: Locality, Symmetry and Topology

Gong, Z., Jonsson, R. H., & Malz, D. (2022). Supersymmetric Free Fermions and Bosons: Locality, Symmetry and Topology. Physical Review B, 105(8): 085423. doi:10.1103/PhysRevB.105.085423.

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 Creators:
Gong, Zongping1, 2, 3, Author              
Jonsson, Robert H.1, 2, Author              
Malz, Daniel1, 2, Author              
Affiliations:
1Theory, Max Planck Institute of Quantum Optics, Max Planck Society, ou_1445571              
2MCQST - Munich Center for Quantum Science and Technology, External Organizations, ou_3330166              
3Max Planck Harvard Center, Max Planck Institute of Quantum Optics, Max Planck Society, ou_2364729              

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Free keywords: High Energy Physics - Theory, hep-th
 Abstract: Supersymmetry, originally proposed in particle physics, refers to a dual relation that connects fermionic and bosonic degrees of freedom in a system. Recently, there has been considerable interest in applying the idea of supersymmetry to topological phases, motivated by the attempt to gain insights from the fermion side into the boson side and vice versa. We present a systematic study of this construction when applied to band topology in noninteracting systems. First, on top of the conventional ten-fold way, we find that topological insulators and superconductors are divided into three classes depending on whether the supercharge can be local and symmetric, must break a symmetry to preserve locality, or needs to break locality. Second, we resolve the apparent paradox between the nontriviality of free fermions and the triviality of free bosons by noting that the topological information is encoded in the identification map. We also discuss how to understand a recently revealed supersymmetric entanglement duality in this context. These findings are illustrated by prototypical examples. Our work sheds new light on band topology from the perspective of supersymmetry.

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Language(s): eng - English
 Dates: 2021-12-142022-02-242022-02-15
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 2112.07527v2
DOI: 10.1103/PhysRevB.105.085423
Other: 6256
 Degree: -

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Funding organization : Max-Planck-Harvard Research Center for Quantum Optics (MPHQ)
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Funding program : -
Funding organization : Wenner-Gren Foundations
Project name : ERC Advanced Grant QUENOCOBA
Grant ID : 742102
Funding program : Horizon 2020 (H2020)
Funding organization : European Commission (EC)

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Title: Physical Review B
  Abbreviation : Phys. Rev. B
Source Genre: Journal
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Publ. Info: Woodbury, NY : American Physical Society
Pages: - Volume / Issue: 105 (8) Sequence Number: 085423 Start / End Page: - Identifier: ISSN: 1098-0121
CoNE: https://pure.mpg.de/cone/journals/resource/954925225008