Classification of symmetry-protected topological phases in two-dimensional many-body localized systems

Article

关键词: MATRIX PRODUCT STATES;    QUANTUM;   

DOI  :  10.1103/PhysRevB.102.014205

来源: SCIE

【 摘 要 】

We use low-depth quantum circuits, a specific type of tensor networks, to classify two-dimensional symmetry-protected topological many-body localized phases. For (anti)unitary onsite symmetries we show that the (generalized) third cohomology class of the symmetry group is a topological invariant; however, our approach leaves room for the existence of additional topological indices. We argue that our classification applies to quasiperiodic systems in two dimensions and systems with true random disorder within times which scale superexponentially with the inverse interaction strength. Our technique might be adapted to supply arguments suggesting the same classification for two-dimensional symmetry-protected topological ground states with a rigorous proof.

【 授权许可】

Free