A Density Matrix Algorithm for 3D Classical Models

Details A Density Matrix Algorithm for 3D Classical Models A Density Matrix Algorithm for 3D Classical Models

1998-04-14

arxiv.org/abs/cond-mat/9804134v2

J. Phys. Soc. Jpn 67 (1998) 3066

Physics

Condensed Matter

Statistical Mechanics

15 pages, Latex(JPSJ style files are included), 8 ps figures, submitted to J. Phys. Soc. Jpn., some references are corrected

Scientific paper

10.1143/JPSJ.67.3066

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.

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