Critical behaviour of the Ising S=1/2 and S=1 model on (3,4,6,4) and (3,3,3,3,6) Archimedean lattices

Details Critical behaviour of the Ising S=1/2 and S=1 model on (3,4,6,4) and (3,3,3,3,6) Archimedean lattices Critical behaviour of the Ising S=1/2 and S=1 model on (3,4,6,4) and (3,3,3,3,6) Archimedean lattices

2010-01-18

arxiv.org/abs/1001.3078v1

Commun. Comput. Phys. 10 (4), 912 (2011)

Physics

Condensed Matter

Statistical Mechanics

4 pages with 4 figures in 8 EPS files, RevTeX4

Scientific paper

10.4208/cicp.090910.021210a

We investigate the critical properties of the Ising S=1/2 and S=1 model on (3,4,6,4) and (3,3,3,3,6) Archimedean lattices. The system is studied through the extensive Monte Carlo simulations. We calculate the critical temperature as well as the critical point exponents gamma/nu, beta/nu and nu basing on finite size scaling analysis. The calculated values of the critical temperature for S=1 are k_BT_C/J=1.590(3) and k_BT_C/J=2.100(4) for (3,4,6,4) and (3,3,3,3,6) Archimedean lattices, respectively. The critical exponents beta/nu, gamma/nu and 1/nu for S=1 are beta/nu=0.180(20), gamma/nu=1.46(8) and 1/nu=0.83(5) for (3,4,6,4) and 0.103(8), 1.44(8) and 0.94(5) for (3,3,3,3,6) Archimedean lattices. Obtained results differ from the Ising S=1/2 model on (3,4,6,4), (3,3,3,3,6) and square lattice. The evaluated effective dimensionality of the system for S=1 are D_{eff}=1.82(4) for (3,4,6,4) and D_{eff}=1.64(5) for (3,3,3,3,6).

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