Volume 111, Number 5, September 2015
|Number of page(s)||6|
|Published online||15 September 2015|
Spin-polarized Wannier functions for the two-dimensional topological insulators
1 School of Physics and Engineering, Henan University of Science and Technology - Luoyang 471003, China
2 National Laboratory of Solid State Microstructures, Department of Physics, and Collaborative Innovation Center of Advanced Microstructures, Nanjing University - Nanjing 210093, China
3 College of Physics and Electronic Engineering, Sichuan Normal University - Chengdu 610068, China
Received: 11 June 2015
Accepted: 25 August 2015
We propose that the topological properties of the two-dimensional topological insulators can be classified by the evolution of the centers of the spin-polarized Wannier functions. Numerical results are obtained based upon a modified Kane-Mele model with next-nearest-neighbor hopping terms and a uniform exchange field. The centers of the spin-polarized Wannier functions are shown to display different spectral flow patterns in different quantum phases, characterizing the topological structures of the bulk energy bands.
PACS: 03.65.Vf – Phases: geometric; dynamic or topological / 73.43.-f – Quantum Hall effects / 73.20.At – Surface states, band structure, electron density of states
© EPLA, 2015
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