A unified treatment of Ising model magnetizations

Details A unified treatment of Ising model magnetizations A unified treatment of Ising model magnetizations

1996-10-30

arxiv.org/abs/cond-mat/9610212v2

Annalen Phys. 6 (1997) 176-214

Physics

Condensed Matter

Statistical Mechanics

Plain Tex, 30 pages, 21 figures in eps format. Revised for publication in Annalen der Physik

Scientific paper

10.1002/andp.19975090304

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.

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