Properties of A Class of Topological Phase Transition

Abstract

The properties of a class of topological quantum phase transition (TQPT) are analyzed based on a model proposed by Haldane. We study the effect of finite temperature on this phase transition. We have found that finite temperature would drive this TQPT to be a crossover, while it is stable against the weak short range interaction. When the interaction is strong enough, however, this TQPT is unstable and other states would emerge. Then we investigate the effect of the on-site energy in the original haldane model. The critical difference between our TQPT and the topological phase transition in conventional quantum Hall system is discussed. Finally, we discuss the potential application of our analysis to a topological phase transition proposed in a realistic system.

arXiv comment7 pages, 7 figures. Accepted by Phys. Rev. B

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• Fidelity susceptibility made simple: A unified quantum Monte Carlo approach
• Topological phase transition in a generalized Kane-Mele-Hubbard model: A combined Quantum Monte Carlo and Green's function study
• Topological order in a correlated Chern insulator
• Strain tuned topology in the Haldane and the modified Haldane models
• Frequency domain winding number and interaction effect on topological insulators
• Effects of short-ranged interactions on the Kane-Mele model without discrete particle-hole symmetry
• The competition between the intrinsic and Rashba spin-orbit coupling and effects of correlations on Rashba SOC-driven transitions in the Kane-Mele model
• Model studies of topological phase transitions in materials with two types of magnetic atoms