SKM 2023 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 59: Poster Session: Topology

TT 59.16: Poster

Donnerstag, 30. März 2023, 15:00–18:00, P2/OG4

DMRG simulations of the one-dimensional anyon Hubbard model — •Yannick Werner, Maximilian Kiefer-Emmanouilidis, Pascal Jung, and Sebastian Eggert — Department of Physics, Technical University of Kaiserslautern, 67663 Kaiserslautern, Germany

The recent detection of anyons in setups of ultra-cold gases has further encouraged the in-depth studies of anyonic systems. Although the existence of conventional anyons is limited to two dimensions, a realization of fractional exchange statistics in a 1D system is possible which leads to a continuous interpolation between bosons and (pseudo-)fermions. In this poster we present the effects of perturbations i.e. local impurities, in a one-dimensional anyonic Hubbard model with onsite and nearest neighbor interactions on local densities, correlation functions and density transport. Here anyonic statistics are fulfilled by mapping bosonic operators via Jordan-Wigner-transformation, leading to a density dependent Peierl's phase in the hopping term. Additionally, in the case of small filling rates, we compute and analyze numerically the Luttinger parameter via Density Matrix Renormalization Group methods and compare it with analytical results.