Many-body localization transition with correlated disorder

Journal Article · Wed Oct 05 04:00:00 EDT 2022 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.106.144201· OSTI ID:2322480

Shi, Zhengyan Darius ^[1]; Khemani, Vedika ^[2]; Vasseur, Romain ^[3]; Gopalakrishnan, Sarang ^[4]

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1. Massachusetts Institute of Technology, Cambridge, MA (United States); Stanford University
2. Stanford University, CA (United States)
3. University of Massachusetts, Amherst, MA (United States)
4. Pennsylvania State University, University Park, PA (United States)

We address the critical properties of the many-body localization (MBL) phase transition in one-dimensional systems subject to spatially correlated disorder. Rather than starting from a microscopic model, we analyze the transition within a strong-randomness renormalization group (RG) framework. We argue that anticorrelations in the disorder are generally irrelevant at the MBL transition. Furthermore, assuming the MBL transition is described by the recently developed renormalization-group scheme, we argue that even positively correlated disorder leaves the critical theory unchanged, although it modifies certain properties of the many-body localized phase.

• Research Organization: Stanford University, CA (United States)
• Sponsoring Organization: USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF)
• Grant/Contract Number: SC0021111
• OSTI ID: 2322480
• Journal Information: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 14 Vol. 106; ISSN 2469-9950
• Publisher: American Physical Society (APS)
• Country of Publication: United States
• Language: English

Related Subjects

1-dimensional systems
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
Disordered systems
Many-body localization