题 目：Study of Fractional Quantum Hall Effect with Composite Fermions
报告人：蒲颂杨 (英国利兹大学)
时 间：2022年4月13日（星期三）下午16:00
地 点：腾讯会议：387-388-414
邀请人：胡自翔
报告人介绍：
蒲颂杨博士,本科（2011-2015）就读于南京大学物理专业，研究生（2015-2021）就读于美国宾夕法尼亚州立大学物理系，师从美国国家科学院J.K.Jain院士研习理论凝聚态物理并取得博士学位，期间主要研究方向是分数量子霍尔效应。2021年10月至今在英国利兹大学Zlatko Papic教授组担任博后。
报告摘要：
The fractional quantum Hall effect (FQHE) is one of the most exotic collective phenomena discovered in nature that triggered the idea of emergent topological order, fractional charge, fractional statistics, and many other novel concepts. The mechanism of FQHE is highly nontrivial since the interactions between electrons dominate the states. The puzzle is solved by introducing the composite fermions (CF), which are topological bound states of electrons and an even number of quantized vortices. A powerful tool to study FQHE is the CF wave functions, which not only capture the topological features of the physical states in FQHE but also allow quantitative calculations of various physical observables. The CF wave function approach has been successfully applied in the disk and spherical geometry. However, it is nontrivial to apply it to the torus geometry because of the periodic boundaries. In this talk, I will introduce our new constructions of CF wave functions in the torus geometry [1] and show their applications in the studies of Hall viscosity [2,3] and Berry phases [4]. I will also show how we generalize these studies to anyons on a torus [5]. If time allows, I will also show how CF theory establishes the correspondence between localization physics in FQHE and IQHE [6].
[1] Songyang Pu, Ying-Hai Wu, and J. K. Jain, “Composite fermions on a torus”, Phys. Rev. B 96, 195302 (2017)
[2] Songyang Pu, Mikael Fremling, and J. K. Jain, “Hall viscosity of composite fermions”, Phys. Rev. Research 2, 013139 (2020)
[3] Songyang Pu, “Hall Viscosity of the Composite-Fermion Fermi Seas for Fermions and Bosons”, Phys. Rev. B 102, 165101 (2020)
[4] Songyang Pu, Mikael Fremling, and J. K. Jain, “Berry phase of the compositefermion Fermi sea: Effect of Landau-level mixing”, PRB 98, 075304 (2018)
[5] Songyang Pu and J. K. Jain, "Composite Anyons on a Torus", Phys. Rev. B 104, 115135 (2021)
[6] Songyang Pu, G. J. Sreejith, and J. K. Jain, “Anderson localization of fractional quantum Hall effect”, Phys. Rev. Lett 128, 116801 (2022)
