Numerical Renormalization Group at Criticality

TL;DR

This paper demonstrates the application of the corner-transfer-matrix renormalization group (CTMRG) method to 2D classical lattice models at criticality, successfully extracting critical exponents through finite-size scaling.

Contribution

It introduces a novel combination of CTMRG with finite-size scaling to determine critical exponents at phase transitions.

Findings

Successfully extracted two independent critical exponents.

Validated the effectiveness of CTMRG at critical points.

Provided a new approach for analyzing 2D lattice models.

Abstract

We apply a recently developed numerical renormalization group, the corner-transfer-matrix renormalization group (CTMRG), to 2D classical lattice models at their critical temperatures. It is shown that the combination of CTMRG and the finite-size scaling analysis gives two independent critical exponents.