SKM 2023 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 42: Poster: Correlated Electrons I

TT 42.8: Poster

Mittwoch, 29. März 2023, 15:00–18:00, P2/OG2

Quantum-critical properties of random transverse-field Ising models extracted by quantum Monte Carlo methods — •Calvin Krämer, Anja Langheld, Jan Koziol, Max Hörmann, and Kai Phillip Schmidt — Lehrstuhl für Theoretische Physik I, Staudtstraße 7, Universität Erlangen-Nürnberg, D-91058 Erlangen, Germany

The transverse-field Ising model with quenched disorder is studied in one and two dimensions at zero temperature by stochastic series expansion quantum Monte Carlo simulations. Using a sample-replication method we are able to determine distributions of pseudo-critical points, from which critical shift and width exponents ν_s/w are extracted by finite-size scaling. The scaling of the averaged magnetisation at the critical points is used further to determine the order-parameter critical exponent β. The dynamical scaling in the Griffiths phase is investigated by measuring the local susceptibility in the disordered phase and the critical exponent z′ is extracted.