Corner Transfer Matrix Algorithm for Classical Renormalization Group

dc.creatorNishino, Tomotoshi
dc.creatorOkunishi, Kouichi
dc.date1997-05-08
dc.date.accessioned2026-07-07T09:11:43Z
dc.date.available2026-07-07T09:11:43Z
dc.descriptionWe report a real-space renormalization group (RSRG) algorithm, which is formulated through Baxter's corner transfer matrix (CTM), for two-dimensional (d = 2) classical lattice models. The new method performs the renormalization group transformation according to White's density matrix algorithm, so that variational free energies are minimized within a restricted degree of freedom m. As a consequence of the renormalization, spin variables on each corner of CTM are replaced by a m-state block spin variable. It is shown that the thermodynamic functions and critical exponents of the q = 2, 3 Potts models can be precisely evaluated by use of the renormalization group method.
dc.description20 pages, 10 ps figures, JPSJ style files are included
dc.identifierhttps://arxiv.org/abs/cond-mat/9705072
dc.identifierhttp://arxiv.org/abs/cond-mat/9705072
dc.identifierJ. Phys. Soc. Jpn. 66 (1997) 3040
dc.identifierdoi:10.1143/JPSJ.66.3040
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/151777
dc.subjectStatistical Mechanics
dc.titleCorner Transfer Matrix Algorithm for Classical Renormalization Group
dc.typetext

Files

Collections