SKM 2023 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 59: Poster Session: Topology

TT 59.17: Poster

Thursday, March 30, 2023, 15:00–18:00, P2/OG4

Dynamical structure factor of an anyonic Luttinger liquid — •Pascal Jung, Martin Bonkhoff, Yannick Werner, and Sebastian Eggert — Department of Physics and Research Center Optimas, Technical University of Kaiserslautern, 67663 Kaiserslautern, Germany

Luttinger liquids are a powerful tool to describe the low-energy excitations of bosonic and fermionic systems in one spatial dimension. Anyonic systems, which allow a continuous transition between those two fundamental types of statistics, can be included in this framework by an additional coupling of the current and density excitations. This results into different velocities for the left and right movers, breaking the spatio-temporal symmetries.

To study the effects of this symmetry breaking on experimentally verifiable quantities, characteristic correlation functions are calculated. Using these, the dynamical structure factor for a finite system is determined. The broken symmetry leads here to a characteristic imbalance between left and right movers with typical power laws. Furthermore, the impact of local impurities is investigated using the perturbative renormalization group. These results are compared to numerical simulations obtained by the DMRG algorithm.