Critical temperature of the Ising ferromagnet on the fcc, hcp, and dhcp lattices

Abstract

By an extensive Monte-Carlo calculation together with the finite-size-scaling and the multiple histogram method, the critical coupling constant (K-c = J/k(B)T(c)) of the Ising ferromagnet on the fcc, hcp, and double hcp (dhcp) lattices were obtained with unprecedented precision: K-c(fcc) = 0.1020707(2), K-c(hcp) = 0.1020702(1), and K-c(dhcp) = 0.1020706(2). The critical temperature T-c, of the hcp lattice is found to be higher than those of the fcc and the dhcp lattice. The dhcp lattice seems to have higher T-c than the fcc lattice, but the difference is within error bars. (C) 2014 Elsevier B.V. All rights reserved.