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Behavior of l-bits near the many-body localization transition

Abstract:

Eigenstates of fully many-body localized (FMBL) systems are described by quasilocal operators τzi (l-bits), which are conserved exactly under Hamiltonian time evolution. The algebra of the operators τzi and τxi associated with l-bits (τi) completely defines the eigenstates and the matrix elements of local operators between eigenstates at all energies. We develop a non-perturbative construction of the full set of l-bit algebras in the many-body localized phase for the canonical model of MBL. O...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1103/PhysRevB.98.184201

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Institution:
University of Oxford
Division:
MPLS Division
Department:
Physics
Sub department:
Theoretical Physics
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Physics
Sub department:
Theoretical Physics
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Physics
Sub department:
Theoretical Physics
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Oxford college:
Somerville College
Role:
Author
More from this funder
Funding agency for:
Wahl, T
Grant:
EP/I031014/1
More from this funder
Funding agency for:
Wahl, T
Grant:
EP/I031014/1
More from this funder
Funding agency for:
Simon, S
Grant:
EP/N01930X/1
More from this funder
Funding agency for:
Simon, S
Grant:
EP/N01930X/1
Publisher:
American Physical Society Publisher's website
Journal:
Physical Review B Journal website
Volume:
98
Pages:
184201
Publication date:
2018-11-05
Acceptance date:
2018-09-06
DOI:
EISSN:
2469-9969
ISSN:
2469-9950
Source identifiers:
912184
Pubs id:
pubs:912184
UUID:
uuid:8b05c1ea-b705-40b8-b83d-2788d5b46dd2
Local pid:
pubs:912184
Deposit date:
2018-09-06

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