Exact projector Hamiltonian, local integrals of motion, and many-body localization with topological order
Abstract
In this work, we construct an exact projector Hamiltonian with interactions, which is given by a sum of mutually commuting operators called stabilizers. The model is based on the recently studied Creutz-ladder of fermions, in which flat-band structure and strong localization are realized. These stabilizers are local integrals of motion from which many-body localization (MBL) is realized. All energy eigenstates are explicitly obtained even in the presence of local disorders. All states are MBL states, that is, this system is a full many-body localized (FMBL) system. We show that this system has a topological order and stable gapless edge modes exist under the open boundary condition. By the numerical study, we investigate stability of the FMBL and topological order.
Keywords
Cite
@article{arxiv.2004.07634,
title = {Exact projector Hamiltonian, local integrals of motion, and many-body localization with topological order},
author = {Takahiro Orito and Yoshihito Kuno and Ikuo Ichinose},
journal= {arXiv preprint arXiv:2004.07634},
year = {2020}
}
Comments
11 pages, 5 figures, accepted for publication in Phys. Rev. B