Cumulant ratios and their scaling functions for Ising systems in strip geometries

TL;DR

This paper investigates the universal behavior of the fourth-order cumulant ratio in 2D Ising models within strip geometries using DMRG, revealing scaling functions for different boundary conditions.

Contribution

It introduces a detailed analysis of cumulant ratios and their scaling functions for 2D Ising strips with various boundary conditions using DMRG.

Findings

Universal scaling functions identified for cumulant ratios

Effective analysis of boundary conditions up to L=200

Enhanced understanding of finite-size effects in Ising strips

Abstract

We calculate the fourth-order cumulant ratio (proposed by Binder) for the two-dimensional Ising model in a strip geometry L x oo. The Density Matrix Renormalization Group method enables us to consider typical open boundary conditions up to L=200. Universal scaling functions of the cumulant ratio are determined for strips with parallel as well as opposing surface fields.