Field-driven transition in an Ising magnet with mixed interactions

Abstract

Transfer-matrix methods are used, in conjunction with finite-size scaling and conformal invariance concepts, to generate an accurate phase diagram for a two-dimensional square-lattice Ising spin-1/2 magnet, with couplings which are positive along one coordinate axis, and negative along the other, in a uniform external field. Our results indicate that the critical line starts horizontally at the zero-temperature end of the phase boundary, at variance with the reentrant behavior predicted in some earlier studies. Estimates of the thermal scaling exponent are very close to the Ising value $y_T=1$ along the critical line, except near T=0 where strong crossover effects prevent a reliable analysis.

Published version

References in corpus (2)

• On the Symmetry of Universal Finite-Size Scaling Functions in Anisotropic Systems
• Finite-size scaling corrections in two-dimensional Ising and Potts ferromagnets

Cited by in corpus (4)

• Ising metamagnets in thin film geometry: equilibrium properties
• Scaling behavior of a square-lattice Ising model with competing interactions in a uniform field
• Phase transitions in the two-dimensional super-antiferromagnetic Ising model with next-nearest-neighbor interactions
• Critical line of honeycomb-lattice anisotropic Ising antiferromagnets in a field