The Joint Condensed Matter Seminar (JCMS) series is organised by KTH Royal Insitute of Technology, Nordita, and Stockholm University.
On Monday, May 13th, 2024 from 11 am to 12 am we will host a seminar by Douglas Lundholm from Uppsala University.
Towards density functional theories for anyons
The precise connection between exchange statistics and exclusion statistics for 2D anyons, i.e. quantum quasiparticles with statistics defined by the braid group, has remained elusive for many years. Only for very small systems have exact analytic or numerical methods been applicable to study the spectrum and ground states. However, during the past decade, progress in the mathematics of quantum mechanics has led to rigorous derivations of density functional theories for the abelian anyon gas in weakly interacting regimes, close to bosons and fermions, as well as conjectures for stronger intermediate statistics and other interactions. In particular, I plan to discuss a recent result concerning an almost-bosonic Hartree-Chern-Simons model for which we obtain the critical attraction strength for stability, as well as a scale of nonlinear, self-generated Landau levels with quantized vorticity. The latter were first conjectured by Jackiw and Pi in the early 90’s. This is joint work with Alireza Ataei and Dinh-Thi Nguyen at Uppsala University.