First order phase transition in the anisotropic quantum orbital compass model

Abstract

We investigate the anisotropic quantum orbital compass model on an infinite square lattice by means of the infinite projected entangled-pair state algorithm. For varying values of the $J_x$ and $J_z$ coupling constants of the model, we approximate the ground state and evaluate quantities such as its expected energy and local order parameters. We also compute adiabatic time evolutions of the ground state, and show that several ground states with different local properties coexist at $J_x=J_z$. All our calculations are fully consistent with a first order quantum phase transition at this point, thus corroborating previous numerical evidence. Our results also suggest that tensor network algorithms are particularly fitted to characterize first order quantum phase transitions.

4 pages, 3 figures, major revision with new results

References in corpus (7)

• Classical simulation of infinite-size quantum lattice systems in two spatial dimensions
• Ground state fidelity from tensor network representations
• Orbital order in classical models of transition-metal compounds
• Monte Carlo simulations of the directional-ordering transition in the two-dimensional classical and quantum compass model
• Nature of the Quantum Phase Transition in Quantum Compass Model
• Topologically decoherence-protected qubits with trapped ions
• Dilution Effects in Two-dimensional Quantum Orbital System

Cited by in corpus (7)

• Quantum Monte Carlo simulations of fidelity at magnetic quantum phase transitions
• Identifying phases of quantum many-body systems that are universal for quantum computation
• Multicriticality and entanglement in the one-dimensional quantum compass model
• Assessing the accuracy of projected entangled-pair states on infinite lattices
• Quantum phase transitions in a two-dimensional quantum XYX model: Ground-state fidelity and entanglement
• Numerical Study of Spin-1/2 XXZ Model on Square Lattice from Tensor Product States
• Finite-Temperature Néel Ordering of Fluctuations in a Plaquette Orbital Model