Ising cubes with enhanced surface couplings

TL;DR

This paper investigates how enhanced surface couplings affect the critical behavior of corner magnetization in three-dimensional Ising cubes, revealing non-universal behavior at the surface transition through Monte Carlo simulations.

Contribution

It provides new insights into the critical behavior of corner magnetization with enhanced surface couplings in 3D Ising models, comparing results to 2D defect line studies.

Findings

Corner magnetization exhibits non-universal critical behavior at the surface transition.

Critical exponent of corner magnetization depends on the surface coupling strength.

Results are consistent with analogous phenomena in 2D Ising models with defect lines.

Abstract

Using Monte Carlo techniques, Ising cubes with ferromagnetic nearest-neighbor interactions and enhanced couplings between surface spins are studied. In particular, at the surface transition, the corner magnetization shows non-universal, coupling-dependent critical behavior in the thermodynamic limit. Results on the critical exponent of the corner magnetization are compared to previous findings on two-dimensional Ising models with three intersecting defect lines.