The Quantum Compass Model on the Square and Simple Cubic Lattices

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.

6 pages, 2 figures

References in corpus (5)

• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Monte Carlo simulations of the directional-ordering transition in the two-dimensional classical and quantum compass model
• Orbital liquid in ferromagnetic manganites: The orbital Hubbard model for $e_g$ electrons
• Re-examining the directional-ordering transition in the compass model with screw-periodic boundary conditions
• Dilution Effects in Two-dimensional Quantum Orbital System

Cited by in corpus (12)

• Fingerprints of spin-orbital entanglement in transition metal oxides
• Variational tensor network renormalization in imaginary time: Two-dimensional quantum compass model at finite temperature
• Magnetic properties of nanoscale compass-Heisenberg planar clusters
• Quantum phase transitions in a generalized compass chain with three-site interactions
• Unveiling the nature of three dimensional orbital ordering transitions: the case of $e_g$ and $t_{2g}$ models on the cubic lattice
• Valence Bond Crystal and possible orbital pinball liquid in a t2g model
• Compass and Kitaev models -- Theory and Physical Motivations
• Order by disorder and phase transitions in a highly frustrated spin model on the triangular lattice
• First-order directional ordering transition in the three-dimensional compass model
• High temperature dynamics in quantum compass models
• Stripping the planar Quantum Compass Model to its basics
• Order in Quantum Compass and Orbital $e_g$ Models