{ "id": "cond-mat/9610107", "version": "v1", "published": "1996-10-14T10:48:18.000Z", "updated": "1996-10-14T10:48:18.000Z", "title": "Density Matrix and Renormalization for Classical Lattice Models", "authors": [ "T. Nishino", "K. Okunishi" ], "comment": "21 pages, Latex, 14 figures in postscript files, Proc. of the 1996 El Escorial Summer School on \"Strongly Correlated Magnetic and Superconducting Systems\"", "doi": "10.1007/BFb0104638", "categories": [ "cond-mat.stat-mech" ], "abstract": "We review the variational principle in the density matrix renormalization group (DMRG) method, which maximizes an approximate partition function within a restricted degrees of freedom; at zero temperature, DMRG mini- mizes the ground state energy. The variational principle is applied to two-dimensional (2D) classical lattice models, where the density matrix is expressed as a product of corner transfer matrices. (CTMs) DMRG related fields and future directions of DMRG are briefly discussed.", "revisions": [ { "version": "v1", "updated": "1996-10-14T10:48:18.000Z" } ], "analyses": { "keywords": [ "classical lattice models", "density matrix renormalization group", "variational principle", "corner transfer matrices", "approximate partition function" ], "tags": [ "journal article" ], "note": { "typesetting": "LaTeX", "pages": 21, "language": "en", "license": "arXiv", "status": "editable" } } }