BPCPPDYSOE21 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 32: Posters DY - Statistical Physics, Brownian Motion and Nonlinear Dynamics
DY 32.8: Poster
Dienstag, 23. März 2021, 16:30–19:00, DYp
Critical exponent ν of the Ising model in three dimensions with long-range correlated site disorder analyzed with Monte Carlo techniques — •Stanislav Kazmin1,2 and Wolfhard Janke2 — 1Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany — 2Universität Leipzig, Institute for Theoretical Physics, Leipzig, Germany
We study the critical behavior of the Ising model in three dimensions on a lattice with site disorder by using Monte Carlo simulations [1]. The disorder is either uncorrelated or long-range correlated with correlation function that decays according to a power law r−a. We derive the critical exponent of the correlation length ν and the confluent correction exponent ω in dependence of a by combining different concentrations of defects 0.05 ≤ pd ≤ 0.4 into one global fit ansatz and applying finite-size scaling techniques. We simulate and study a wide range of different correlation exponents 1.5 ≤ a ≤ 3.5 as well as the uncorrelated case a = ∞ and are able to provide a comprehensive picture not yet known from previous works. Additionally, we perform a dedicated analysis of our long-range correlated disorder ensembles and provide estimates for the critical temperatures of the system in dependence of the correlation exponent a and the concentrations of defects pd. We compare our results to known results from other works and to the conjecture of Weinrib and Halperin: ν = 2/a and discuss the occurring deviations.
[1] S. Kazmin and W. Janke, Phys. Rev. B 102, 174206 (2020)