Surface critical behavior of two-dimensional dilute Ising models

TL;DR

This paper investigates the surface critical behavior of two-dimensional dilute Ising models, revealing that the surface magnetization critical exponent closely matches that of the pure model, and discusses the transition from surface to bulk criticality.

Contribution

It provides new insights into the surface critical exponents of disordered 2D Ising models using Monte Carlo and star-triangle methods.

Findings

Surface magnetization exponent close to 1/2

Crossover from surface to bulk critical behavior analyzed

Disorder does not significantly alter surface critical exponent

Abstract

Ising models with nearest-neighbor ferromagnetic random couplings on a square lattice with a (1,1) surface are studied, using Monte Carlo techniques and star-tiangle transformation method. In particular, the critical exponent of the surface magnetization is found to be close to that of the perfect model, beta_s=1/2. The crossover from surface to bulk critical properties is discussed.