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TT: Fachverband Tiefe Temperaturen
TT 61: Correlated Electrons: 1D Theory
TT 61.2: Talk
Wednesday, March 20, 2024, 16:45–17:00, H 3010
Finite one-dimensional anyons with fixed boundary condition: The Anyonic Luttinger Liquid — •Pascal Jung1, Martin Bonkhoff2, Imke Schneider1, and Sebastian Eggert1 — 1University of Kaiserslautern-Landau, Landesforschungszentrum OPTIMAS — 2Universität Hamburg
Recently lattice anyons in one-dimension have been the center of theoretical and experimental research as a prototypical system with statistically generated interactions. Due to the fundamentally broken parity and the different velocities in the left and right direction, it is non-trivial to find the many-body solution for standing waves in a finite 1D system with box-like boundary conditions. We now describe how the corresponding Luttinger liquid theory with a current-density coupling can be solved by a novel mode expansion which incorporates the correct reflection conditions for fixed boundary condition. It is therefore possible to fully calculate the asymptotic space-time correlation function and determine the corresponding low-energy structure factor, which provides a characteristic hallmark for the Anyonic Luttinger Liquid.
Keywords: Luttinger Liquid Theory; Anyons; Bosonization; One-dimensional models