The quantum compass chain in a transverse magnetic field

Abstract

We study the magnetic behaviors of a spin-1/2 quantum compass chain (QCC) in a transverse magnetic field, by means of the analytical spinless fermion approach and numerical Lanczos method. In the absence of the magnetic field, the phase diagram is divided into four gapped regions. To determine what happens by applying a transverse magnetic field, using the spinless fermion approach, critical fields are obtained as a function of exchanges. Our analytical results show, the field-induced effects depend on in which one of the four regions the system is. In two regions of the phase diagram, the Ising-type phase transition happens in a finite field. In another region, we have identified two quantum phase transitions in the ground state magnetic phase diagram. These quantum phase transitions belong to the universality class of the commensurate-incommensurate phase transition. We also present a detailed numerical analysis of the low energy spectrum and the ground state magnetic phase diagram. In particular, we show that the intermediate state ($h_{c_1}<h<h_{c_2}$) is gapful, describing the spin-flop phase.

9 pages, 8 figures. arXiv admin note: substantial text overlap with arXiv:1008.2117

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Cited by in corpus (7)

• Quench dynamics and ground state fidelity of 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
• Gapped Quantum Criticality Gains Long Time Quantum Correlations
• Spin dynamics of the generalized quantum spin compass chain
• Topological Phase Transition in the Extended Cluster Compass Ladder
• From fidelity to entanglement of entropy of the one-dimensional transverse-field quantum compass model
• Entanglement dynamics and fractional quantum state transport in the spin-$\frac{1}{2}$ triangular plaquette