1996/10/31 by Brian Davies, Ingo Peschel · 10 citations
Mathematics · Physics and Astronomy · #Anisotropy #Computation #Ising model #Lattice (music) #Markov Chains and Monte Carlo Methods #Opinion Dynamics and Social Influence #Square lattice #Square-lattice Ising model #Theoretical and Computational Physics #cond-mat.stat-mech #hep-th
paper · pdf · doi:10.1002/andp.19975090304
published in Annalen der Physik 509(3), 187-214 (Wiley) · Plain Tex, 30 pages, 21 figures in eps format. Revised for publication in Annalen der Physik
arxiv created 1996/11/26 · openalex publication_date 1997/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.