The Two-Dimensional Random Bond Ising Model at Criticality—A Monte Carlo Study
1990; Institute of Physics; Volume: 11; Issue: 4 Linguagem: Inglês
10.1209/0295-5075/11/4/002
ISSN1286-4854
AutoresJian‐Sheng Wang, W. Selke, Vl.S. Dotsenko, V. B. Andreǐchenko,
Tópico(s)Complex Network Analysis Techniques
ResumoThe two-dimensional random bond Ising model with two distinct ferromagnetic nearest-neighbour couplings, J and J', distributed randomly over the lattice with concentration 1/2 is studied for various ratios J'/J at criticality. The critical temperature is exactly known from self-duality. The size-dependent specific heat shows a crossover from the perfect Ising to the randomness-dominated critical behaviour of doubly logarithmic form. In the latter region, our estimates for the critical exponents of the size-dependent magnetization and susceptibility are in very good agreement with analytic results suggesting β/ν = 1/8 and γ/ν = 7/4.
Referência(s)