Density Matrix and Renormalization for Classical Lattice Models

Details Density Matrix and Renormalization for Classical Lattice Models Density Matrix and Renormalization for Classical Lattice Models

1996-10-14

arxiv.org/abs/cond-mat/9610107v1

Physics

Condensed Matter

Statistical Mechanics

21 pages, Latex, 14 figures in postscript files, Proc. of the 1996 El Escorial Summer School on "Strongly Correlated Magnetic

Scientific paper

10.1007/BFb0104638

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.

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