Properties of A Class of Topological Phase Transition

TL;DR

This paper investigates the properties of a specific topological quantum phase transition based on Haldane's model, examining effects of temperature, interactions, and on-site energy, and discusses implications for real systems.

Contribution

It provides a detailed analysis of the stability and nature of a class of topological phase transitions under various conditions, extending understanding of TQPTs in realistic settings.

Findings

Finite temperature turns the TQPT into a crossover.

Weak interactions do not destabilize the TQPT.

Strong interactions lead to new emergent states.

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.