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DY: Fachverband Dynamik und Statistische Physik

DY 22: Poster: Statistical Physics

DY 22.4: Poster

Mittwoch, 19. März 2025, 10:00–12:00, P3

Transport in classical systems with fractionally charged excitations — •Jannis Waldmann, Malte Grunert, Max Grossmann, and Erich Runge — Theoretical Physics I, Institute of Physics, Technische Universität Ilmenau, 98693 Ilmenau, Germany

Interacting systems of charged particles can show fractionally charged excitations, as is well known from the Fractional Quantum Hall Effect of electrons in a magnetic field. Fractionally charged excitations in the absence of magnetic fields have also been predicted for certain lattices with geometric frustrations, e.g. for quantum mechanical models of spinless fermions on the criss-crossed checkerboard lattice [1,2]. Here, we present result on transport properties of classical particles with nearest-neighbor repulsion on a Kagome lattice. Using Monte Carlo simulations, we study the transition from classical hopping at high temperatures to transport dominated by half-charged quasi-particles for special filling factors at low temperatures. Furthermore, we provide evidence for a residual entropy at zero temperature and Andreev-like reflection at interfaces to 'normal', i.e. not frustrated systems.

[1] Fulde et al., Ann. Phys. (Leipzig) 11 (2002) 12, 892-900

[2] Pollmann et al., J. Magn. Magn. Mater. 310 (2007), 966-968

Keywords: Lattice Dynamics; Frustrated Systems; Monte Carlo simulations; Transport