Density Matrix and Renormalization for Classical Lattice Models
Statistical Mechanics
2009-10-28 v1
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.
Keywords
Cite
@article{arxiv.cond-mat/9610107,
title = {Density Matrix and Renormalization for Classical Lattice Models},
author = {T. Nishino and K. Okunishi},
journal= {arXiv preprint arXiv:cond-mat/9610107},
year = {2009}
}
Comments
21 pages, Latex, 14 figures in postscript files, Proc. of the 1996 El Escorial Summer School on "Strongly Correlated Magnetic and Superconducting Systems"