Density Matrix Renormalization Group Method for 2D Classical Models

1995/08/25 by Tomotoshi Nishino · 7 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Quantum many-body systems #Theoretical and Computational Physics #cond-mat

paper · pdf · doi:10.1143/jpsj.64.3598

8 pages, TeX

arxiv created 1995/08/25 · openalex publication_date 1995/10/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The density matrix renormalization group (DMRG) method is applied to the interaction round a face (IRF) model. When the transfer matrix is asymmetric, singular-value decomposition of the density matrix is required. A trial numerical calculation is performed on the square lattice Ising model, which is a special case of the IRF model.

Citations

• The renormalization group and the ε expansion
• On the product of semi-groups of operators
• Density-matrix algorithms for quantum renormalization groups
• Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition

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• The entanglement entropy of solvable lattice models
• Numerical renormalization approach to two-dimensional quantum antiferromagnets with valence-bond-solid type ground state