Many-body localization transition with correlated disorder

We address the critical properties of the many-body localization (MBL) phase transition in one-dimensional systems subject to spatially correlated disorder. We consider a general family of disorder models, parameterized by how strong the fluctuations of the disordered couplings are when coarse-grained over a region of size (cid:96) . For uncorrelated randomness, the characteristic scale for these fluctuations is √ (cid:96) ; more generally they scale as (cid:96) γ . We discuss both positively correlated disorder (1 / 2 < γ < 1) and anticorrelated, or “hyperuniform,” disorder ( γ < 1 / 2). We argue that anticorre-lations in the disorder are generally irrelevant at the MBL transition. Moreover, assuming the MBL transition is described by the recently developed renormalization-group scheme of Morningstar et al. [Phys. Rev. B 102, 125134, (2020)], we argue that even positively correlated disorder leaves the critical theory unchanged, although it modifies certain properties of the many-body localized phase.

• Publication year

  2022

• Venue

  Physical review B

• Publication date

  2022-04-12

• Fields of study

  Physics

• Identifiers
  DOI 10.1103/PhysRevB.106.144201arXiv 2204.06017
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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