Topological Invariants and Ground-State Wave functions of Topological Insulators on a Torus

We define topological invariants in terms of the ground-state wave functions on a torus. This approach leads to precisely defined formulas for the Hall conductance in four dimensions and the topological magnetoelectric θ term in three dimensions, and their generalizations in higher dimensions. They...

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Bibliographic Details
Main Authors: Zhong Wang, Shou-Cheng Zhang
Format: Article
Language:English
Published: American Physical Society 2014-01-01
Series:Physical Review X
Online Access:http://doi.org/10.1103/PhysRevX.4.011006