Corner Transfer Matrix Renormalization Group Method

TL;DR

The paper introduces the Corner Transfer Matrix Renormalization Group (CTMRG) method, a fast numerical technique combining Baxter's and White's approaches to efficiently analyze 2D classical models.

Contribution

It presents a novel CTMRG algorithm that unifies corner transfer matrix and density matrix renormalization group methods for 2D classical systems.

Findings

Efficient renormalization of 2D classical models

Unified framework combining Baxter's and White's methods

Potential for improved numerical analysis of statistical models

Abstract

We propose a new fast numerical renormalization group method,the corner transfer matrix renormalization group (CTMRG) method, which is based on a unified scheme of Baxter's corner transfer matrix method and White's density matrix renormalization groupmethod. The key point is that a product of four corner transfer matrices gives the densitymatrix. We formulate the CTMRG method as a renormalization of 2D classical models.