Bibliographic Details
| Title: |
Minimal model of many-body localization |
| Authors: |
F. Monteiro, T. Micklitz, Masaki Tezuka, Alexander Altland |
| Source: |
Physical Review Research, Vol 3, Iss 1, p 013023 (2021) |
| Publisher Information: |
American Physical Society, 2021. |
| Publication Year: |
2021 |
| Collection: |
LCC:Physics |
| Subject Terms: |
Physics, QC1-999 |
| More Details: |
We present a fully analytical description of a many-body localization (MBL) transition in a microscopically defined model. Its Hamiltonian is the sum of one- and two-body operators, where both contributions obey a maximum-entropy principle and have no symmetries except Hermiticity (not even particle number conservation). These two criteria paraphrase that our system is a variant of the Sachdev-Ye-Kitaev model. We will demonstrate how this simple zero-dimensional system displays numerous features seen in more complex realizations of MBL. Specifically, it shows a transition between an ergodic and a localized phase, and nontrivial wave-function statistics indicating the presence of nonergodic extended states. We check our analytical description of these phenomena by a parameter-free comparison to high performance numerics for systems of up to N=15 fermions. In this way, our study becomes a test bed for concepts of high-dimensional quantum localization, previously applied to synthetic systems such as Cayley trees or random regular graphs. The minimal model describes a many-body system for which an effective theory is derived and solved from first principles. The hope is that the analytical concepts developed in this study may become a stepping stone for the description of MBL in more complex systems. |
| Document Type: |
article |
| File Description: |
electronic resource |
| Language: |
English |
| ISSN: |
2643-1564 |
| Relation: |
https://doaj.org/toc/2643-1564 |
| DOI: |
10.1103/PhysRevResearch.3.013023 |
| Access URL: |
https://doaj.org/article/3901b8e3e0b04e2dace6241a4924b66a |
| Accession Number: |
edsdoj.3901b8e3e0b04e2dace6241a4924b66a |
| Database: |
Directory of Open Access Journals |
