Dresden 2020 – scientific programme
The DPG Spring Meeting in Dresden had to be cancelled! Read more ...
Parts | Days | Selection | Search | Updates | Downloads | Help
DY: Fachverband Dynamik und Statistische Physik
DY 62: Critical Phenomena and Phase Transitions
DY 62.2: Talk
Friday, March 20, 2020, 09:45–10:00, ZEU 118
Critical Exponents of the Ising Model in Three Dimensions with Long-range Correlated Site Disorder — •Stanislav Kazmin1,2 and Wolfhard Janke2 — 1Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany — 2University Leipzig, Institute for Theoretical Physics, Leipzig, Germany
We study the Ising model in three dimensions with site dilution with the help of Monte Carlo techniques. The dilution is long-range correlated and the correlation function decays proportional to a power law ∝ r−a. We derive the critical exponent of the correlation length ν in dependence of a by combining different defect concentrations 0.1 ≤ pd ≤ 0.4 and by applying finite-size scaling techniques to the derivative of the logarithm of the magnetization ∂β ln|m|. We study a wide range of correlation exponents 1.5 ≤ a ≤ 3.5 as well as the uncorrelated case a = ∞. Finally, we compare our results to known estimates from other works and to the conjecture of Weinrib and Halperin: ν = 2/a.