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Multiscale entanglement clusters at the many-body localization phase transition
KTH, School of Engineering Sciences (SCI), Physics, Condensed Matter Theory.
KTH, School of Engineering Sciences (SCI), Physics, Condensed Matter Theory.ORCID iD: 0000-0003-3328-8525
2019 (English)In: Physical Review B, ISSN 2469-9950, E-ISSN 2469-9969, Vol. 99, no 13, article id 134205Article in journal (Refereed) Published
Abstract [en]

We numerically study the formation of entanglement clusters across the many-body localization transition. We observe a crossover from strong many-body entanglement in the ergodic phase to weak local correlations in the localized phase, with continuous clusters throughout the phase diagram. Critical states close to the transition have a structure compatible with fractal or multiscale-entangled states, characterized by entanglement at multiple levels: small strongly entangled clusters are weakly entangled together to form larger clusters. The critical point therefore features subthermal entanglement and a power-law distributed cluster size. Upon entering the localized phase, the power-law distribution seems to persist with a varying power that crosses over into a stretched exponent before eventually becoming exponential deep in the localized phase. These results are in agreement with some of the recently proposed phenomenological renormalization-group schemes characterizing the many-body localized critical point, and serve to constrain other such schemes.

Place, publisher, year, edition, pages
AMER PHYSICAL SOC , 2019. Vol. 99, no 13, article id 134205
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-251481DOI: 10.1103/PhysRevB.99.134205ISI: 000465150000002Scopus ID: 2-s2.0-85065121087OAI: oai:DiVA.org:kth-251481DiVA, id: diva2:1317310
Note

QC 20190522

Available from: 2019-05-22 Created: 2019-05-22 Last updated: 2019-05-22Bibliographically approved

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Herviou, LoicBardarson, Jens H.

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