Statistical Bubble Localization with Random Interactions
Abstract
We study one-dimensional spinless fermions with random interactions, but without any on-site disorder. We find that random interactions generically stabilize a many-body localized phase, in spite of the completely extended single-particle degrees of freedom. In the large randomness limit, we construct "bubble-neck" eigenstates having a universal area-law entanglement entropy on average, with the number of volume-law states being exponentially suppressed. We argue that this statistical localization is beyond the phenomenological local-integrals-of-motion description of many-body localization. With exact diagonalization, we confirm the robustness of the many-body localized phase at finite randomness by investigating eigenstate properties such as level statistics, entanglement/participation entropies, and nonergodic quantum dynamics. At weak random interactions, the system develops a thermalization transition when the single-particle hopping becomes dominant.
Cite
@article{arxiv.1609.01288,
title = {Statistical Bubble Localization with Random Interactions},
author = {Xiaopeng Li and Dong-Ling Deng and Yang-Le Wu and S. Das Sarma},
journal= {arXiv preprint arXiv:1609.01288},
year = {2017}
}
Comments
5+4 pages, 8 figures