The Ising model is considered on a simple cubic lattice, with a coupling constant J along one axis and coupling constants J' along the remaining two axes. The transfer-matrix technique and an extended phenomenological renormalization group theory [18, 19] are applied to obtain two-sided bounds on the critical temperature for the model with J'/J ≤ 1. The bounds monotonically converge with decreasing J'/J and provide improved estimates for the phase-transition temperature in anisotropic three-dimensional Ising model, as compared with those available from the literature.
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