A Density Matrix Algorithm for 3D Classical Models
Statistical Mechanics
2007-05-23 v2
Abstract
We generalize the corner transfer matrix renormalization group, which consists of White's density matrix algorithm and Baxter's method of the corner transfer matrix, to three dimensional (3D) classical models. The renormalization group transformation is obtained through the diagonalization of density matrices for a cubic cluster. A trial application for 3D Ising model with m=2 is shown as the simplest case.
Keywords
Cite
@article{arxiv.cond-mat/9804134,
title = {A Density Matrix Algorithm for 3D Classical Models},
author = {Tomotoshi Nishino and Kouichi Okunishi},
journal= {arXiv preprint arXiv:cond-mat/9804134},
year = {2007}
}
Comments
15 pages, Latex(JPSJ style files are included), 8 ps figures, submitted to J. Phys. Soc. Jpn., some references are corrected