Journal
INTERNATIONAL JOURNAL OF MODERN PHYSICS B
Volume 25, Issue 17, Pages 2323-2340Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217979211100096
Keywords
Topological insulator; quantum spin Hall effect; topological quantum phase transition; zero mode
Funding
- NCET, NFSC [10874017]
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In this paper, starting from a lattice model of topological insulators, we study the quantum phase transitions among different quantum states, including quantum spin Hall state, quantum anomalous Hall state and normal band insulator state by calculating their topological properties (edge states, quantized spin Hall conductivities, and the number of zero mode on a pi-flux). We find that at the topological quantum phase transitions (TQPTs), the topological order parameter - spin Chern number will jump. And since the masses of the nodal fermions will change sign, the third derivative of ground-state energy is nonanalytic. In addition, we discuss the finite temperature properties and the stability of the TQPTs.
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