A Density Matrix Algorithm for 3D Classical Models

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.

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

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