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Topological Order Parameters for Interacting Topological Insulators

Zhong WangDepartment of Modern Physics, University of Science and Technology of China, Hefei, 230026, PR ChinaXiao-Liang QiDepartment of Physics, McCullough Building, Stanford University, Stanford California 94305-4045, USAShou-Cheng ZhangDepartment of Physics, McCullough Building, Stanford University, Stanford California 94305-4045, USA
2010en
ABI

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We propose a topological order parameter for interacting topological insulators, expressed in terms of the full Green's functions of the interacting system. We show that it is exactly quantized for a time-reversal invariant topological insulator, and it can be experimentally measured through the topological magneto-electric effect. This topological order parameter can be applied to both interacting and disordered systems, and used for determining their phase diagrams.

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