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DOE OSTI · 2322480

Many-body localization transition with correlated disorder

Shi, Zhengyan Darius·Khemani, Vedika·Vasseur, Romain·Gopalakrishnan, Sarang
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Abstract

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.

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1-dimensional systems75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITYDisordered systemsMany-body localization

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Shi, Zhengyan Darius, Khemani, Vedika, Vasseur, Romain, Gopalakrishnan, Sarang. 2022-10-05. Many-body localization transition with correlated disorder. https://doi.org/10.1103/physrevb.106.144201

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