Fractional Quantum Hall States and Phase Transitions

Speaker’s Brief Introduction： 吴英海，2009年本科结业于中国迷信技能年夜学近代物理系，2014年博士结业于美国宾夕法尼自由亚州立年夜学物理系，导师为Jainendra Jain，2014-2017年间正在德国马普量子光学研究所J. Igancio Cirac实践组从事博士后研究。2017年8月至今为华中科技年夜学物理学院副传授。首要研究标的目的为强联系关系量子多系统统，已颁发学术论文40余篇。

Abstract: Fractional quantum Hall states are canonical examples of topological phases driven by strong correlation. The conventional setting is electrons confined to two dimensions in solid state systems and exposed to a perpendicular magnetic field, but other scenarios have also been discussed and are under active investigations. In this talk, I will give a brief introduction to certain aspects of FQH states, particularly the composite fermion theory and non-Abelian anyons. FQH states cannot be distinguished by local order parameters associated with broken sy妹妹etry, but exhibit nontrivial ground state properties on high-genus surfaces, which motivated the notion of topological order. For phase transitions that involve FQH states, the Landau-Ginzburg-Wilson framework is not applicable. I will discuss some examples of such phase transitions in multi-component quantum Hall systems. It is proposed that the universal properties of the critical points are described by Chern-Simons-Higgs field theory.