2000/05/08 by Massimo Campostrini · 15 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Computation #Ising model #Lattice (music) #Order (exchange) #Physics of Superconductivity and Magnetism #Series (stratigraphy) #Series expansion #Square-lattice Ising model #Theoretical and Computational Physics #cond-mat.stat-mech #hep-lat
paper · pdf · doi:10.1023/a:1004884006193
published in Journal of Statistical Physics 103(1-2), 369-394 (Springer Science+Business Media) · 20 pages, 9 figures
arxiv created 2000/05/08 · openalex publication_date 2001/04/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The linked-cluster expansion technique for the high-temperature expansion of spin model is reviewed. A new algorithm for the computation of three-point and higher Green's functions is presented. Series are computed for all components of two-point Green's functions for a generalized 3D Ising model, to 25th order on the bcc lattice and to 23rd order on the sc lattice. Series for zero-momentum four-, six-, and eight-point functions are computed to 21st, 19th, and 17th order respectively on the bcc lattice.