Quantum Phase Transition in the One-Dimensional Extended Quantum Compass Model in a Transverse Field

Abstract

Quantum phase transitions in the one-dimensional extended quantum compass model in transverse field are studied by using the Jordan-Wigner transformation. This model is always gapful except at the critical surfaces where the energy gap disappears. We obtain the analytic expressions of all critical fields which drive quantum phase transitions. This model shows a rich phase diagram which includes spin-flop, strip antiferromagnetic and saturate ferromagnetic phases in addition to the phase with anti parallel ordering of spin $y$ component on odd bonds. However we study the universality and scaling properties of the transverse susceptibility and nearest-neighbor correlation functions derivatives in different regions to confirm the results obtained using the energy gap analysis.

8 Page, 15 Figures

References in corpus (7)

• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Topological characterization of quantum phase transitions in a S=1/2 spin model
• Exact results for quench dynamics and defect production in a two-dimensional model
• Quench dynamics and defect production in the Kitaev and extended Kitaev models
• Multicriticality and entanglement in the one-dimensional quantum compass model
• Numerical study of the one-dimensional quantum compass model
• Universality and Scaling Properties of Correlation Functions Near a Quantum Phase Transition

Cited by in corpus (19)

• Dissipative spin chain as a non-Hermitian Kitaev ladder
• Dissipative Floquet Dynamical Quantum Phase Transition
• Out-of-time-order correlations and Floquet dynamical quantum phase transition
• Matrix Product State and Quantum Phase Transitions in the One-Dimensional Extended Quantum Compass Model
• Engineering Floquet Dynamical Quantum Phase Transition
• Quench dynamics and ground state fidelity of the one-dimensional extended quantum compass model in a transverse field
• Decoherence from spin environments: Loschmidt echo and quasiparticle excitations
• Complexity and information geometry in spin chains
• Thermodynamic Properties of the One-Dimensional Extended Quantum Compass Model in the Presence of a Transverse Field
• Quantum Correlation in One-dimensional Extend Quantum Compass Model
• 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
• Entanglement scaling and spatial correlations of the transverse field Ising model with perturbations
• Separation of the Kibble-Zurek Mechanism from Quantum Criticality
• One-dimensional frustrated plaquette compass model: Nematic phase and spontaneous multimerization
• Universality and Scaling Properties of Correlation Functions Near a Quantum Phase Transition