Complete wetting in the three-dimensional transverse Ising model

TL;DR

This paper investigates how quantum fluctuations in a 3D transverse Ising model induce layering transitions at a multiphase point, revealing complex interface behavior influenced by magnetic fields.

Contribution

It demonstrates that quantum fluctuations cause a sequence of layering transitions by splitting degeneracy at a multiphase point in the 3D transverse Ising model.

Findings

Quantum fluctuations induce layering transitions.

Degeneracy at the multiphase point is split by quantum effects.

Sequence of layering transitions observed near the multiphase point.

Abstract

We consider a three-dimensional Ising model in a transverse magnetic field, $h$ and a bulk field $H$. An interface is introduced by an appropriate choice of boundary conditions. At the point $(H=0,h=0)$ spin configurations corresponding to different positions of the interface are degenerate. By studying the phase diagram near this multiphase point using quantum-mechanical perturbation theory we show that that quantum fluctuations, controlled by $h$, split the multiphase degeneracy giving rise to an infinite sequence of layering transitions.