Journal article
Strong zero modes and eigenstate phase transitions in the XYZ/interacting Majorana chain
- Abstract:
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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 interacting system, and that it possesses some remarkable structure—despite being a rather elaborate operator, it squares to the identity. Eigenstate phase transitions separate regions with different strong zero modes.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
Actions
Access Document
- Files:
-
-
(Preview, Accepted manuscript, pdf, 228.9KB, Terms of use)
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- Publisher copy:
- 10.1088/1751-8113/49/30/30LT01
Authors
- Publisher:
- Institute of Physics
- Journal:
- Journal of Physics A: Mathematical and Theoretical More from this journal
- Volume:
- 49
- Issue:
- 30
- Article number:
- 30LT01
- Publication date:
- 2016-06-15
- Acceptance date:
- 2016-05-16
- DOI:
- EISSN:
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1751-8121
- ISSN:
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1751-8113
- Keywords:
- Pubs id:
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pubs:632333
- UUID:
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uuid:56eaa75a-9870-4f62-bf94-965043fb1b0f
- Local pid:
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pubs:632333
- Source identifiers:
-
632333
- Deposit date:
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2016-07-07
Terms of use
- Copyright holder:
- Institute of Physics Publishing
- Copyright date:
- 2016
- Notes:
- Copyright © 2016 IOP Publishing Ltd. This is the accepted manuscript version of the article. The final version is available online from IOP Publishing at: https://doi.org/10.1088/1751-8113/49/30/30LT01
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