Wetting and layering transitions of a spin-1/2 Ising model in a random transverse field

TL;DR

This study investigates how a random transverse field influences wetting and layering transitions in a spin-1/2 Ising model, revealing critical probabilities where these transitions vanish.

Contribution

It introduces an effective field theory approach to analyze the effects of randomness on wetting and layering phenomena in the Ising model.

Findings

Wetting temperature and transverse field depend on the probability of the transverse field presence.

Existence of a critical probability $p_{c}$ where wetting and layering transitions cease.

Transitions disappear above the critical probability for specific surface fields.

Abstract

The effect of a random transverse field (RTF) on the wetting and layering transitions of a spin-1/2 Ising model, in the presence of bulk and surface fields, is studied within an effective field theory by using the differential operator technique. Indeed, the dependencies of the wetting temperature and wetting transverse field on the probability of the presence of a transverse field are established. For specific values of the surface field we show the existence of a critical probability $p_{c}$ above which wetting and layering transitions disappear.