Phase transition in the transverse Ising model using the extended coupled-cluster method

TL;DR

This paper uses the extended coupled cluster method to analyze phase transitions in the transverse Ising model, effectively capturing critical behavior across different coupling regimes.

Contribution

It demonstrates the ECCM's capability to describe phase transitions in the transverse Ising model from both weak and strong coupling perspectives.

Findings

Accurately determines correlation length and excitation energy.

Unified approach for weak and strong coupling regimes.

Effective description of phase transition behavior.

Abstract

The phase transition present in the linear-chain and square-lattice cases of the transverse Ising model is examined. The extended coupled cluster method (ECCM) can describe both sides of the phase transition with a unified approach. The correlation length and the excitation energy are determined. We demonstrate the ability of the ECCM to use both the weak- and the strong-coupling starting state in a unified approach for the study of critical behavior.