Application of the Interface Approach in Quantum Ising Models

TL;DR

This paper applies the interface approach to analyze phase transitions in quantum Ising models, reproducing known results and uncovering scaling behaviors of response functions, with insights into phase diagrams of the ANNNI model.

Contribution

It introduces the interface approach to quantum Ising models, providing exact results and detailed phase diagram analysis for the ANNNI model in a transverse field.

Findings

Reproduced exact results for the Ising chain in a transverse field.

Identified simple scaling behavior in response functions.

Mapped the phase diagram of the ANNNI model in a transverse field.

Abstract

We investigate phase transitions in the Ising model and the ANNNI model in transverse field using the interface approach. The exact result of the Ising chain in a transverse field is reproduced. We find that apart from the interfacial energy, there are two other response functions which show simple scaling behaviour. For the ANNNI model in a transverse field, the phase diagram can be fully studied in the region where a ferromagnetic to paramagnetic phase transition occurs. The other region can be studied partially; the boundary where the antiphase vanishes can be estimated.