首页/论文/2004.07634

arXiv 2004.076342020-04cond-mat.stat-mechcond-mat.dis-nncond-mat.quant-gascond-mat.str-el

Exact projector Hamiltonian, local integrals of motion, and many-body localization with topological order

Takahiro Orito, Yoshihito Kuno, Ikuo Ichinose

备注：: 11 pages, 5 figures, accepted for publication in Phys. Rev. B
发表信息：: Phys. Rev. B 101, 224308 (2020)
DOI：: 10.1103/PhysRevB.101.224308

英文摘要：

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.

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