Numerical study of the one-dimensional quantum compass model

Abstract

The ground state magnetic phase diagram of the one-dimensional quantum compass model (QCM) is studied using the numerical Lanczos method. A detailed numerical analysis of the low energy excitation spectrum is presented. The energy gap and the spin-spin correlation functions are calculated for finite chains. Two kind of the magnetic long-range orders, the Neel and a type of the stripe-antiferromagnet, in the ground state phase diagram are identified. Based on the numerical analysis, the first and second order quantum phase transitions in the ground state phase diagram are identified.

6 pages, 8 figures. arXiv admin note: text overlap with arXiv:1105.2117

References in corpus (7)

• First order phase transition in the anisotropic quantum orbital compass model
• 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
• Multicriticality and entanglement in the one-dimensional quantum compass model
• Dilution Effects in Two-dimensional Quantum Orbital System
• Quantum phase transition in the one-dimensional period-two and uniform compass model
• Alternating Heisenberg Spin-1/2 Chains in a Transverse Magnetic Field

Cited by in corpus (12)

• Matrix Product State and Quantum Phase Transitions in the One-Dimensional Extended Quantum Compass Model
• Quench dynamics and ground state fidelity of the one-dimensional extended quantum compass model in a transverse field
• Ordered states in the Kitaev-Heisenberg model: From 1D chains to 2D honeycomb
• Quantum Phase Transition in the One-Dimensional Extended Quantum Compass Model in a Transverse Field
• Thermodynamic Properties of the One-Dimensional Extended Quantum Compass Model in the Presence of a Transverse Field
• Spin dynamics of the generalized quantum spin compass chain
• Gapped Quantum Criticality Gains Long Time Quantum Correlations
• The quantum compass chain in a transverse magnetic field
• From fidelity to entanglement of entropy of the one-dimensional transverse-field quantum compass model
• Topological Phase Transition in the Extended Cluster Compass Ladder
• Probing Majorana Modes via Local Spin Dynamics
• Investigation of frustrated and dimerized classical Heisenberg chains