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Reentrant localization induced by short-range hopping in the fractal Rosenzweig-Porter model
Stockholm University, Nordic Institute for Theoretical Physics (Nordita). Russian Academy of Sciences, Russia.ORCID iD: 0000-0003-2160-5984
Number of Authors: 32025 (English)In: Physical Review B, ISSN 2469-9950, E-ISSN 2469-9969, Vol. 111, no 22, article id L220102Article in journal (Refereed) Published
Abstract [en]

Typically, metallic systems localized under strong disorder exhibit a transition to delocalization as the kinetic terms increase. In this Letter, we reveal the opposite effect—increasing kinetic terms leads to an unexpected reduction of mobility, enhancing localization of the system, and even leading to reentrant delocalization transitions. Specifically, we add a nearest-neighbor hopping with amplitude 𝜅 to the Rosenzweig-Porter (RP) model with fractal on-site disorder and surprisingly see that, as 𝜅 grows, the system initially tends to localization from the fractal phase, but then reenters the ergodic phase. We build an analytical framework to explain this re-entrant behavior, supported by exact diagonalization results. The interplay between the spatially local 𝜅 term, insensitive to fractal disorder, and the energy-local RP coupling, sensitive to fine-level spacing structures, drives the observed reentrant behavior. This mechanism offers a distinct pathway to reentrant localization phenomena in many-body quantum systems.

Place, publisher, year, edition, pages
2025. Vol. 111, no 22, article id L220102
National Category
Condensed Matter Physics
Identifiers
URN: urn:nbn:se:su:diva-248805DOI: 10.1103/k957-fcmhISI: 001523663700001OAI: oai:DiVA.org:su-248805DiVA, id: diva2:2010982
Available from: 2025-11-03 Created: 2025-11-03 Last updated: 2025-11-03Bibliographically approved

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Khaymovich, Ivan M.

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