2001/11/30 by Hidetoshi Nishimori, Koji Nemoto · 69 citations
Computer Science · Mathematics · Physics and Astronomy · #Combinatorics #Condensed matter physics #Duality (order theory) #Geometry #Ising model #Mathematics #Multicritical point #Phase (matter) #Phase boundary #Phase diagram #Physics #Point (geometry) #Quantum mechanics #Random Matrices and Applications #Spin glass #Square lattice #Statistical physics #Theoretical and Computational Physics #Topological and Geometric Data Analysis #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1143/jpsj.71.1198
published in Journal of the Physical Society of Japan 71(4), 1198-1199 (Physical Society of Japan) · 4 pages, 1 figure; Reference updated, definition of \tilde{V} added; to be published in J. Phys. Soc. Jpn
arxiv created 2002/02/05 · openalex publication_date 2002/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Determination of the precise location of the multicritical point and phase boundary is a target of active current research in the theory of spin glasses. In this short note we develop a duality argument to predict the location of the multicritical point and the shape of the phase boundary in models of spin glasses on the square lattice.