Many-body localization transition with correlated disorder
| Autor: | Zhengyan Darius Shi, Vedika Khemani, Romain Vasseur, Sarang Gopalakrishnan |
|---|---|
| Rok vydání: | 2022 |
| Předmět: |
Condensed Matter - Strongly Correlated Electrons
Quantum Physics Statistical Mechanics (cond-mat.stat-mech) Strongly Correlated Electrons (cond-mat.str-el) FOS: Physical sciences Disordered Systems and Neural Networks (cond-mat.dis-nn) Condensed Matter - Disordered Systems and Neural Networks Quantum Physics (quant-ph) Condensed Matter - Statistical Mechanics |
| Zdroj: | Physical Review B. 106 |
| ISSN: | 2469-9969 2469-9950 |
| DOI: | 10.1103/physrevb.106.144201 |
| Popis: | 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 $\ell$. For uncorrelated randomness, the characteristic scale for these fluctuations is $\sqrt{\ell}$; more generally they scale as $\ell^\gamma$. We discuss both positively correlated disorder ($1/2 < \gamma < 1$) and anticorrelated, or "hyperuniform," disorder ($\gamma < 1/2$). We argue that anticorrelations 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 \emph{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. Comment: 25 pages, including 9 figures, 1 table, and 3 appendices (additional reference added in v2) |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|