Symmetry Approach to Solvable Lattice Models

Miwa, Tetsuji

doi:10.1007/978-3-642-85129-2_7

Correlation Effects in Low-Dimensional Electron Systems

1994

DOI: 10.1007/978-3-642-85129-2_7

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Symmetry Approach to Solvable Lattice Models

Tetsuji Miwa

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Density matrix and renormalization for classical lattice models

Nishino

Okunishi

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The density matrix renormalization group is a variational approximation method that maximizes the partition function -or minimize the ground state energy -of quantum lattice systems. The variational relation is expressed as Z = Tr ρ ≥ Tr (1ρ), where ρ is the density submatrix of the system, and1 is a projection operator. In this report we apply the variational relation to two-dimensional (2D) classical lattice models, where the density submatrix ρ is obtained as a product of the corner transfer matrices. The obtained renormalization group method for 2D classical lattice model, the corner transfer matrix renormalization group method, is applied to the q = 2 ∼ 5 Potts models. With the help of the finite size scaling, critical exponents (q = 2, 3) and the latent heat (q = 5) are precisely obtained.

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Density matrix and renormalization for classical lattice models

Nishino

Okunishi

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Symmetry Approach to Solvable Lattice Models

Cited by 1 publication

References 6 publications

Density matrix and renormalization for classical lattice models

Density matrix and renormalization for classical lattice models

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