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TT: Fachverband Tiefe Temperaturen

TT 81: Frustrated Magnets: General II

TT 81.5: Talk

Thursday, March 21, 2024, 17:30–17:45, H 2053

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

We study the one- and two-dimensional transverse-field Ising model with quenched disorder at T = 0 by quantum Monte Carlo simulations. Using averaged binder ratios and a sample-replication method, we can extract critical points and correlation length exponents ν by finite-size scaling. Scaling of the averaged magnetisation at the critical point 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 dynamical exponent z′ is extracted.

Keywords: Disorder; Quantum Monte-Carlo; Finite-size scaling; Activated scaling; Transverse-field Ising model