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Strong zero modes and eigenstate phase transitions in the XYZ/interacting Majorana chain

Abstract:

I explicitly construct a strong zero mode in the XYZ chain or, equivalently, Majorana wires coupled via a four-fermion interaction. The strong zero mode is an operator that pairs states in different symmetry sectors, resulting in identical spectra up to exponentially small finite-size corrections. Such pairing occurs in the Ising/Majorana fermion chain and possibly in strongly disordered many-body localized phases. The proof here shows that the strong zero mode occurs in a clean interactin...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted Manuscript

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Publisher copy:
10.1088/1751-8113/49/30/30LT01

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Institution:
University of Oxford
Department:
Oxford, MPLS, Physics, Theoretical Physics
Publisher:
Institute of Physics Publisher's website
Journal:
Journal of Physics A: Mathematical and Theoretical Journal website
Volume:
49
Issue:
30
Pages:
Article: 30LT01
Publication date:
2016-06-15
DOI:
EISSN:
1751-8121
ISSN:
1751-8113
URN:
uuid:56eaa75a-9870-4f62-bf94-965043fb1b0f
Source identifiers:
632333
Local pid:
pubs:632333

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