Abstract

The scaling stiffness energy, Delta Es, of various uniform anisotropic spin systems is studied. The exchange-uniaxial Heisenberg system is confirmed to behave as an Ising system. On the other hand, a Heisenberg system keeps its lower critical dimensionality intact if the quasi-dipolar interactions are introduced. A method to find ground states in systems with uniaxial single-ion anisotropy is introduced. In the magnetic-field-driven first-order antiferromagnet-spin-flop transition, Delta Es undergoes a discontinuity.

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