Topological and symmetry-enriched random quantum critical points
Abstract
We study how symmetry can enrich strong-randomness quantum critical points and phases, and lead to robust topological edge modes coexisting with critical bulk fluctuations. These are the disordered analogues of gapless topological phases. Using real-space and density matrix renormalization group approaches, we analyze the boundary and bulk critical behavior of such symmetry-enriched random quantum spin chains. We uncover a new class of symmetry-enriched infinite randomness fixed points: while local bulk properties are indistinguishable from conventional random singlet phases, nonlocal observables and boundary critical behavior are controlled by a different renormalization group fixed point. We also illustrate how such new quantum critical points emerge naturally in Floquet systems.
Cite
@article{arxiv.2008.02285,
title = {Topological and symmetry-enriched random quantum critical points},
author = {Carlos M. Duque and Hong-Ye Hu and Yi-Zhuang You and Vedika Khemani and Ruben Verresen and Romain Vasseur},
journal= {arXiv preprint arXiv:2008.02285},
year = {2021}
}
Comments
4+epsilon pages+supp mat, 2 figures. v2: New discussion of Floquet systems. A new co-author has been added