Critical region of the random bond Ising model

Abstract

We describe results of the cluster algorithm Special Purpose Processor simulations of the 2D Ising model with impurity bonds. Use of large lattices, with the number of spins up to $10^6$, permitted to define critical region of temperatures, where both finite size corrections and corrections to scaling are small. High accuracy data unambiguously show increase of magnetization and magnetic susceptibility effective exponents $\beta$ and $\gamma$, caused by impurities. The $M$ and $\chi$ singularities became more sharp, while the specific heat singularity is smoothed. The specific heat is found to be in a good agreement with Dotsenko-Dotsenko theoretical predictions in the whole critical range of temperatures.

arXiv comment11 pages, 16 figures (674 KB) by request to authors: [email protected] or [email protected], LITP-94/CP-03

Cited by in corpus (13)

• Fidelity analysis of topological quantum phase transitions
• Scaling Relations for Logarithmic Corrections
• Self-Consistent Scaling Theory for Logarithmic Correction Exponents
• Universal dependence on disorder of 2D randomly diluted and random-bond +-J Ising models
• Specific heat of two-dimensional diluted magnets
• Scaling Analysis of the Site-Diluted Ising Model in Two Dimensions
• Ising model on 3D random lattices: A Monte Carlo study
• Quenched bond randomness in marginal and non-marginal Ising spin models in 2D
• High-Temperature Series Analysis of the Free Energy and Susceptibility of the 2D Random-Bond Ising Model
• Ising and Potts Models on Quenched Random Gravity Graphs
• Susceptibility amplitude ratio in the two-dimensional three-state Potts model
• Observation of mixed anisotropy in the critical susceptibility of an ultrathin magnetic film
• Special Purpose Computers for Statistical Physics: achievements and lessons