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Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics

Corner spontaneous magnetization

Douglas B. Abraham, F. T. Latrémolière

Published Jul 1, 1994• 12 citations
Publisher

Abstract

The spontaneous magnetization of a corner spin on a square planar Ising ferromagnet with free boundary conditions is obtained exactly, confirming conformal predictions.DOI:https://doi.org/10.1103/PhysRevE.50.R9©1994 American Physical Society

DOI
10.1103/physreve.50.r9

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The spontaneous magnetization of a corner spin on a square planar Ising ferromagnet with free boundary conditions is obtained exactly, confirming conformal predictions.DOI:https://doi.org/10.1103/PhysRevE.50.R9©1994 American Physical Society
Abstract We show how the spontaneous bulk, surface and corner magnetizations in the square lattice Ising model can all be obtained within one approach. The method is based on functional equations which follow from the properties of corner transfer matrices and vertex operators and which can be derived graphically. In all cases, exact analytical expressions for general anisotropy are obtained. Known results, including several for which only numerical computation was previously possible, are verified and new results related to general anisotropy and corner angles are obtained.
Abstract We show how the spontaneous bulk, surface and corner magnetizations in the square lattice Ising model can all be obtained within one approach. The method is based on functional equations which follow from the properties of corner transfer matrices and vertex operators and which can be derived graphically. In all cases, exact analytical expressions for general anisotropy are obtained. Known results, including several for which only numerical computation was previously possible, are verified and new results related to general anisotropy and corner angles are obtained.