Correction to metamagnetic conditions of the Union Jack lattice Ising model

Vincent A. Mellor and Katrina E. Hibberd ()
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Vincent A. Mellor: Centre for Mathematical Physics, School of Mathematics and Physics, University of Queensland, St Lucia, Queensland 4072, Australia
Katrina E. Hibberd: Centre for Mathematical Physics, School of Mathematics and Physics, University of Queensland, St Lucia, Queensland 4072, Australia

International Journal of Modern Physics C (IJMPC), 2018, vol. 29, issue 08, 1-13

Abstract: This paper reviews the work of Wu and Lin on the Union Jack lattice Ising model. This model is of interest as it one of the few to display re-entrant phase transitions. Specifically, we re-examine their result for the general anisotropic sublattice magnetizations, comparing these with the works of Vaks, Larkin and Ovchinnikov, and our own numerical simulations. We discuss the disagreements found in both sublattice predictions including non-zero antiferromagnetic results and a rotational variance. We will then suggest additional conditions and modified formulae that will allow valid results to be produced.

Keywords: Union Jack lattice; numerical simulations; correction (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1142/S0129183118500638

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