Many-body localization characterized from a one-particle perspective

Bera, Soumya and Schomerus, Henning and Heidrich-Meisner, Fabian and Bardarson, Jens H. (2015) Many-body localization characterized from a one-particle perspective. Physical review letters, 115 (4). ISSN 1079-7114

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Abstract

We show that the one-particle density matrix ρ can be used to characterize the interaction-driven many-body localization transition in closed fermionic systems. The natural orbitals (the eigenstates of ρ) are localized in the many-body localized phase and spread out when one enters the delocalized phase, while the occupation spectrum (the set of eigenvalues of ρ) reveals the distinctive Fock-space structure of the many-body eigenstates, exhibiting a steplike discontinuity in the localized phase. The associated one-particle occupation entropy is small in the localized phase and large in the delocalized phase, with diverging fluctuations at the transition. We analyze the inverse participation ratio of the natural orbitals and find that it is independent of system size in the localized phase.

Item Type:
Journal Article
Journal or Publication Title:
Physical review letters
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/3100
Subjects:
ID Code:
75199
Deposited By:
Deposited On:
12 Aug 2015 08:10
Refereed?:
Yes
Published?:
Published
Last Modified:
03 Jul 2020 01:51