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Ordering in Ising square lattices with nearest and next nearest neighbor repulsion

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  • Uebing, Christian

Abstract

The phase diagram of an Ising square lattice with nearest and next nearest neighbor repulsion of equal strength is analyzed by means of Monte Carlo simulation. At low temperatures a multidomain and a (2 × 1) ordered lattice gas phase are found for θ ≈ 14, 34 and θ ≈ 12 in contradiction to previous Monte Carlo studies. The multidomain phase consists of patches of (2 × 2) and c(4 × 2) lattice gas phases. From a careful inspection of diffraction pattern it is possible to distinguish between multidomain and (2 × 1) lattice gas phases. The phase diagram for the present lattice gas model indicates regions of increased disorder between multidomain and (2 × 1) phases.

Suggested Citation

  • Uebing, Christian, 1994. "Ordering in Ising square lattices with nearest and next nearest neighbor repulsion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 210(1), pages 205-216.
    • Handle: RePEc:eee:phsmap:v:210:y:1994:i:1:p:205-216
    DOI: 10.1016/0378-4371(94)00083-2
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