期刊
PHYSICAL REVIEW B
卷 89, 期 15, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.89.155114
关键词
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资金
- Princeton University
- NSF CAREER [DMR-095242]
- NSF of China
- 973 program of China [2007CB925000]
- Princeton Startup Funds
- NSF CAREER Grants at Princeton University [ONR-N00014-11-1-0635, NSF-MRSEC DMR-0819860]
- DARPA under SPAWAR Grant [N66001-11-1-4110]
- Direct For Mathematical & Physical Scien
- Division Of Materials Research [0952428] Funding Source: National Science Foundation
The ground state of translationally invariant insulators comprises bands which can assume topologically distinct structures. There are few known examples where this distinction is enforced by a point-group symmetry alone. In this paper we show that 1D and 2D insulators with the simplest point-group symmetry, inversion, have a Z(>=) classification. In 2D, we identify a relative winding number that is solely protected by inversion symmetry. By analysis of Berry phases, we show that this invariant has similarities with the first Chern class (of time-reversal breaking insulators), but is more closely analogous to the Z(2) invariant (of time-reversal invariant insulators). Implications of our work are discussed in holonomy, the geometric-phase theory of polarization, the theory of maximally localized Wannier functions, and in the entanglement spectrum.
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