题 目： Signatures of Supersymmetry in the ν= 5/2 Fractional Quantum Hall Effect
报告人： 蒲颂杨，英国利兹大学
时 间： 2023年9月22号（星期五）下午3：30
地 点： 物理学院LE201
邀请人： 胡自翔
报告摘要：The Moore-Read state, one of the leading candidates for describing the fractional quantum Hall effect at filling factor ν =5/2, is a paradigmatic p-wave superconductor with non-Abelian topological order. Among its many exotic properties, the state hosts two collective modes: a bosonic density wave and a neutral fermion mode that arises from an unpaired electron in the condensate. It has recently been proposed that the descriptions of the two modes can be unified by postulating supersymmetry (SUSY) that relates them in the long-wavelength limit. Here we extend the SUSY description to construct wave functions of the two modes on closed surfaces, such as the sphere and torus, and we test the resulting states in large-scale numerical simulations. We demonstrate the equivalence in the long-wavelength limit between SUSY wave functions and previous descriptions of collective modes based on the Girvin-MacDonald-Platzman ansatz, Jack polynomials, and bipartite composite fermions. Leveraging the first-quantized form of the SUSY wave functions, we study their energies using the Monte Carlo method and show that realistic ν ¼=5/2 systems are close to the putative SUSY point, where the two collective modes become degenerate in energy.
报告人介绍：蒲颂杨，2015年本科毕业于南京大学，2021年博士毕业于宾夕法尼亚州立大学，导师为美国国家科学院院士Jainendra K. Jain教授，研究方向为理论凝聚态物理。2021年10月至2023年9月在利兹大学Zlatko Papic教授组担任博后，2023年10月起在田纳西大学张瑞星教授组担任博后，目前在PRL， PRX等发表论文多篇。
