cond-mat.str-el

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# Title:Many-body localization characterized from a one-particle perspective

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 step-like 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.
 Comments: 5 pages, 3 figures; v2: added two appendices and a new figure panel in main text; v3: updated figure Subjects: Strongly Correlated Electrons (cond-mat.str-el); Disordered Systems and Neural Networks (cond-mat.dis-nn) Journal reference: Phys. Rev. Lett. 115, 046603 (2015) DOI: 10.1103/PhysRevLett.115.046603 Cite as: arXiv:1503.06147 [cond-mat.str-el] (or arXiv:1503.06147v3 [cond-mat.str-el] for this version)

## Submission history

From: Jens Hjorleifur Bardarson [view email]
[v1] Fri, 20 Mar 2015 16:25:36 UTC (227 KB)
[v2] Thu, 11 Jun 2015 16:46:49 UTC (601 KB)
[v3] Fri, 3 Jul 2015 09:10:05 UTC (586 KB)