Layering in the Ising model

TL;DR

This paper investigates the three-dimensional Ising model with a boundary field, focusing on calculating the low-temperature expansion of layering transition lines to understand boundary effects.

Contribution

It provides a detailed low-temperature expansion analysis of layering transition lines in the 3D Ising model with boundary fields, a novel approach in boundary phase transition studies.

Findings

Derived explicit formulas for layering transition lines

Identified conditions for layering transitions at low temperatures

Enhanced understanding of boundary effects in the Ising model

Abstract

We consider the three-dimensional Ising model in a half-space with a boundary field (no bulk field). We compute the low-temperature expansion of layering transition lines.