The Quantum Compass Model on the Square and Simple Cubic Lattices

TL;DR

This paper investigates the thermodynamic properties and phase transitions of the quantum compass model on square and cubic lattices using high-temperature series expansions, finding evidence for a transition on the square lattice but not on the cubic lattice.

Contribution

It applies high-temperature series expansions to analyze phase transitions in the quantum compass model on different lattices, providing new insights into their critical behavior.

Findings

Evidence of a phase transition on the square lattice

No sign of a transition on the cubic lattice

Supports recent Monte Carlo results for the square lattice

Abstract

We use high-temperature series expansions to obtain thermodynamic properties of the quantum compass model, and to investigate the phase transition on the square and simple cubic lattices. On the square lattice we obtain evidence for a phase transition, consistent with recent Monte Carlo results. On the simple cubic lattice the same procedure provides no sign of a transition, and we conjecture that there is no finite temperature transition in this case.