期刊
PHYSICAL REVIEW B
卷 83, 期 7, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.83.075102
关键词
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资金
- NSF [DMR-0705472, DMR-0757145]
- ARO [W911NF-07-1-0576]
The effect of interactions on topological insulators and superconductors remains, to a large extent, an open problem. Here, we describe a framework for classifying phases of one-dimensional interacting fermions, focusing on spinless fermions with time-reversal symmetry and particle number parity conservation, using concepts of entanglement. In agreement with an example presented by L. Fidkowski and A. Kitaev [Phys. Rev. B 81, 134509 (2010)], we find that in the presence of interactions there are only eight distinct phases which obey a Z(8) group structure. This is in contrast to the Z classification in the noninteracting case. Each of these eight phases is characterized by a unique set of bulk invariants, related to the transformation laws of its entanglement (Schmidt) eigenstates under symmetry operations, and has a characteristic degeneracy of its entanglement levels. If translational symmetry is present, the number of distinct phases increases to 16.
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