题    目：Anyon bound states in a Chern-Simons-Landau-Ginzburg theory of the fractional quantum Hall effect

主讲人：Paul Leask

单    位：瑞典皇家理工学院

时    间：2025年10月29日 18:00

ZOOM：713 668 5659

ID密码：123456

摘  要：I will discuss the interactions of anyonic quasi-particles (vortices) in a Chern-Simons-Landau-Ginzburg theory of the fractional quantum Hall effect and show that it manifestly realizes a hybridization of type I/II superconductivity. Through Gauss' law, each vortex simultaneously carries a magnetic flux quantum and a proportional Noether electric charge, thereby realizing an anyonic excitation. The Chern-Simons coupling modifies the static screening structure of the gauge fields, producing complex-conjugate masses that yield a common magnetic/electric penetration depth with an oscillatory phase. This altered asymptotic behaviour breaks the conventional type-I/type-II dichotomy of the Ginzburg-Landau (abelian Higgs) model. As a result, vortex anyons experience short-range repulsion and long-range attraction, enabling the formation of separated multi-vortex bound states with non-monotonic interaction energy.

简  介：Paul Leask has obtained his PhD in mathematical physics at the Universtiy of Leeds, UK in 2024. Leask has been a postdoc at KTH, Sweden, since 2024. Leask is an expert in Skyrmions and condensed matter physics. Leask has published JHEP, Phys.Rev.D, Phys.Lett.B and J.Math.Phys with 49 citations in total.