Effect of long-range hopping and interactions on entanglement dynamics and many-body localization

Rajeev Singh, Roderich Moessner, Dibyendu Roy

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36 Scopus citations

Abstract

We numerically investigate the dynamics of entanglement in a chain of spinless fermions with nonrandom but long-range hopping and interactions, and with random on-site energies. For moderate disorder in the absence of interactions, the chain hosts delocalized states at the top of the band which undergo a delocalization-localization transition with increasing disorder. We find an interesting regime in this noninteracting disordered chain where the long-time entanglement entropy scales as S(t)∼lnt and the saturated entanglement entropy scales with system size L as S(L,t→)∼lnL. We further study the interplay of long-range hopping and interactions on the growth of entanglement and the many-body localization (MBL) transition in this system. We develop an analogy to higher-dimensional short-range systems to compare and contrast such behavior with the physics of MBL in a higher dimension.

Original languageEnglish
Article number094205
JournalPhysical Review B
Volume95
Issue number9
DOIs
StatePublished - 21 Mar 2017

Bibliographical note

Publisher Copyright:
© 2017 American Physical Society.

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