Fizika Nizkikh Temperatur: Volume 44, Number 12 (December 2018), p. 1721-1724    ( to contents , go back )

Computer simulation of critical behavior of strongly diluted low-dimensional antiferromagnetic systems on the triangulare lattice

A.B. Babaev1,2 and A.K. Murtazaev1,3

1Amirkhanov Institute of Physics of Daghestan Scientific Center of RAS 94 Yaragskovo Str., Makhachkala 367003, Russia

2Дагестанский научный центр РАН, Махачкала, Россия

3Dagestan State University, 43-a Gadzhiyev Str., Makhachkala 367000, Russia

Received March 20, 2018,revised May 10, 2018, published online October 26, 2018


A computer simulation of the critical behavior of the two-dimensional strongly dilute 3-state antiferromagnetic Potts model on a triangular lattice is carried out. Calculations were carried out for systems with periodic boundary conditions at a spin concentration p = 0.70, 0.65. Systems with linear dimensions L×L = N, L = 20–144 were considered. Based on the theory of finite-dimensional scaling, static critical exponents of the heat capacity α, susceptibility γ, order parameter β, and critical index ν for the correlation radius are calculated. It is shown numerically that the calculated critical indices vary with the change in the spin concentration p, while the ratios β/ν and γ/ν remain unchanged, showing a weak universality of the critical behavior of strongly disordered systems.

Key words: low-dimensional antiferromagnetic systems, Potts model, scaling.

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