Ising model with mixed boundary conditions: universal amplitude ratios

TL;DR

This paper derives universal amplitude ratios for the mixed boundary universality class in the Ising model, confirming predictions from conformal field theory and expanding understanding of boundary critical phenomena.

Contribution

It introduces a new set of universal amplitude ratios for the mixed boundary class in the Ising model, validated by conformal field theory.

Findings

Universal amplitude ratios for mixed boundary conditions derived.

Results agree with Cardy's conformal field theory predictions.

Enhances understanding of boundary effects in critical phenomena.

Abstract

In the vicinity of boundaries the bulk universality class of critical phenomena splits into several boundary universality classes, depending upon whether the tendency to order in the boundary is smaller or larger than in the bulk. For Ising universality class there are five different boundary universality classes: periodic, antiperiodic, free, fixed and mixed (mixture of the last two). In this paper we present the new set of the universal amplitude ratios for the mixed boundary universality class. The results are in perfect agreement with a perturbated conformal field theory scenario proposed by Cardy \cite{cardy86}.