Density Matrix Renormalization Group Method for 2D Classical Models

TL;DR

This paper extends the DMRG method to 2D classical models, specifically applying it to the IRF model and the square lattice Ising model, addressing asymmetric transfer matrices.

Contribution

It introduces a DMRG approach for 2D classical models with asymmetric transfer matrices, demonstrating its application to the IRF and Ising models.

Findings

Successfully applied DMRG to IRF models with asymmetric transfer matrices

Performed numerical calculations on the square lattice Ising model

Demonstrated the method's viability for 2D classical systems

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.