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Percolation in Fock space as a proxy for many-body localization

Abstract:

We study classical percolation models in Fock space as proxies for the quantum many-body localization (MBL) transition. Percolation rules are defined for two models of disordered quantum spin chains using their microscopic quantum Hamiltonians and the topologies of the associated Fock-space graphs. The percolation transition is revealed by the statistics of Fock-space cluster sizes, obtained by exact enumeration for finite-sized systems. As a function of disorder strength, the typical cluster...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's Version

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Publisher copy:
10.1103/PhysRevB.99.104206

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More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Chemistry
Subgroup:
Physical and Theoretical Chem
ORCID:
0000-0003-2152-472X
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Physics
Subgroup:
Theoretical Physics
Oxford college:
St Hugh's College
ORCID:
0000-0003-4369-6071
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Chemistry
Subgroup:
Physical and Theoretical Chem
Oxford college:
University College
Publisher:
American Physical Society Publisher's website
Journal:
Physical Review B Journal website
Volume:
99
Issue:
10
Pages:
Article: 104206
Publication date:
2019-03-25
Acceptance date:
2019-03-07
DOI:
EISSN:
2469-9969
ISSN:
2469-9950
Pubs id:
pubs:955261
URN:
uri:78381d6c-ee5b-483a-8380-ea64729c03fd
UUID:
uuid:78381d6c-ee5b-483a-8380-ea64729c03fd
Local pid:
pubs:955261

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