Article ID Journal Published Year Pages File Type
1808692 Physica B: Condensed Matter 2015 5 Pages PDF
Abstract

The critical properties of two-dimensional (2D) square lattice Ising model with next-nearest-neighbor interactions are investigated by the replica Monte Carlo method. Estimations are made for the magnitude relations of the next-nearest-neighbor and nearest-neighbor exchange interactions r=J2/J1 in the value ranges r  ∈∈[0.0,0.4] and r  ∈∈[0.7,1.0] with Δr=0.1. The static critical exponents of the heat capacity, the susceptibility, the ordering parameter, and the correlation length, as well as the Fisher exponent, are calculated by means of the finite-size scaling theory. The universality class of the critical behavior of this model is revealed to remain within the limits of values r  ∈∈ [0.0,0.4]. It is found that the change in the next-nearest-neighbor interaction value in the range r  ∈∈[0.7,1.0] leads to nonuniversal critical behavior.

Related Topics
Physical Sciences and Engineering Physics and Astronomy Condensed Matter Physics
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