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How to diagnose a topological phase transition at a finite temperature

报告人|叶锦武 教授 大湾区大学


邀请人郭文安教授

时    间|2025.6.25  10:00

地    点|科技楼C602

Prof. Ye  received Ph.D from Yale University.Currently, he is a chair professor at the newly found Great Bay university in Dongguan, Guangdong, China.教育部重大人才工程讲席教授(2023)He is a condensed matter theorist  working on the interdisciplinary field of  condensed matter, quantum optics, cold atoms,non-relativistic quantum field theory and conformal field theory.Recently, he has been particularly interested to explore possible deep connections among quantum topological phases,  Sachdev-Ye-Kitaev models and quantum black holes from material's point of views.


Abstract:Quantum phase transition at zero temperature (QPT) can be probed by measuring various thermodynamics quantities at a finite temperature.They satisfy  single-parameter scalings determined by the infra-red  properties of the system which dictate the local geometry. How to detect a topological phase transition (TPT)  at zero temperature remains unexplored and challenging. Here we show that it can be diagnosed by measuring transport properties at a finite temperature.They satisfy  two-parameter scalings determined by both the infra-red  and the ultra-violet properties of the system which dictate the global topology.We demonstrate our findings by studying the TPTs in the Quantum Anomalous Hall systems.Our methods and results may lead to a resolution of several  long-standing puzzles on the nature of plateau-plateau transitions in integer and fractional quantum Hall systems. They can also be extended to explore TPTs in many other systems. Experimental detections  at a finite temperature are discussed.



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