TY - JOUR
T1 - Critical Behaviour of the Ising <em>S</em>=1/2 and <em>S</em>=1 Model on (3,4,6,4) and (3,3,3,3,6) Archimedean Lattices
AU - F. W. S. Lima, J. Mostowicz & K. Malarz
JO - Communications in Computational Physics
VL - 4
SP - 912
EP - 919
PY - 2011
DA - 2011/10
SN - 10
DO - http://doi.org/10.4208/cicp.090910.021210a
UR - https://global-sci.org/intro/article_detail/cicp/7468.html
KW - 
AB - <p style="text-align: justify;">We investigate the critical properties of the Ising S=1/2 and S=1 model on
(3,4,6,4) and (3<sup>4</sup>,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 γ/ν, β/ν, and ν basing on finite size scaling analysis. The calculated
values of the critical temperature for S=1 are k<sub>B</sub>T<sub>C</sub>/J=1.590(3), and k<sub>B</sub>T<sub>C</sub>/J=2.100(4)
for (3,4,6,4) and (3<sup>4</sup>,6) Archimedean lattices, respectively. The critical exponents β/ν,
γ/ν, and 1/ν, for S=1 are β/ν=0.180(20), γ/ν=1.46(8), and 1/ν=0.83(5), for (3,4,6,4)
and 0.103(8), 1.44(8), and 0.94(5), for (3<sup>4</sup>,6) Archimedean lattices. Obtained results
differ from the Ising S = 1/2 model on (3,4,6,4), (3<sup>4</sup>,6) and square lattice. The evaluated
effective dimensionality of the system for S =1 are D<sub>eff</sub> =1.82(4), for (3,4,6,4),
and D<sub>eff</sub>=1.64(5) for (3<sup>4</sup>,6).</p>