Energy dynamics in a generalized compass chain
arXiv:1609.09203 · doi:10.1088/0953-8984/28/49/496001
Abstract
We investigate the energy dynamics in a generalized compass chain under an external magnetic field. We show that the energy current operators act on three contiguous sites in the absence of the magnetic field, and they are incorporated with inhomogenous Dzyaloshinskii-Moriya interactions in the presence of the magnetic field. These complex interactions remain the Hamiltonian be an exactly solvable spin model. We study the effects of the three-site interactions and the Dzyaloshinskii-Moriya interactions on the energy spectra and phase diagram. The results have revealed that the energy current of the pristine quantum compass model is conserved due to the associated intermediate symmetries, and for other general cases such characteristic does not exist.
8 pages, 8 figures, in press in J. Phys. Condens. Matter
References in corpus (40)
- Anyons in an exactly solved model and beyond
- Unpaired Majorana fermions in quantum wires
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
- Spin current and magneto-electric effect in non-collinear magnets
- Ferroelectricity in spiral magnets
- Kitaev-Heisenberg Model on Honeycomb Lattice: Possible Exotic Phases in Iridium Oxides IrO
- Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
- Observation of Majorana fermions with spin selective Andreev reflection in the vortex of topological superconductor
- Transport and conservation laws
- On the Origin of Zigzag Magnetic Order in Iridium Oxide Na2IrO3
- Interface engineering of quantum Hall effects in digital transition metal oxide heterostructures
- Topological characterization of quantum phase transitions in a S=1/2 spin model
- Three-spin interactions in optical lattices and criticality in cluster Hamiltonians
- Hidden symmetries of the extended Kitaev-Heisenberg model: Implications for honeycomb lattice iridates A2IrO3
- Quantum simulation of a system with competing two- and three-body interactions
- Quantum simulation of a three-body interaction Hamiltonian on an NMR quantum computer
- Theory of spin-phonon coupling in multiferroic Mn perovskites
- Self-duality and bound states of the toric code model in a transverse field
- Strong-weak coupling self-duality in the two-dimensional quantum phase transition of superconducting arrays
- Topological Characterization of Extended Quantum Ising Models
- Spin model of magnetostrictions in multiferroic Mn perovskites
- Phase Diagram of the spin S=1/2 Extended XY model
- Energy transport between two integrable spin chains
- Nonequilibrium Steady State in a Quantum System: One-dimensional Transverse Ising Model with Energy Current
- Spin and energy currents in integrable and nonintegrable spin-1/2 chains: A typicality approach to real-time autocorrelations
- Isotropic Transverse XY Chain with Energy- and Magnetization Currents
- Dynamic properties of the spin-1/2 XY chain with three-site interactions
- Realizing all quantum criticalities in symmetry protected cluster models
- Spontaneous symmetry breaking in a generalized orbital compass model
- Magnetocaloric effect in spin-1/2 chains with three-spin interactions
- Quantum phase transitions in exactly solvable one-dimensional compass models
- Exact treatment of magnetism-driven ferroelectricity in the one-dimensional compass model
- Quantum phase transitions in a generalized compass chain with three-site interactions
- Magnetism-driven ferroelectricity in spin-1/2 chains
- Exact solution of a spin-1/2 chain with three-site interactions in a random transverse field: Influence of randomness on quantum phase transition
- Energy dynamics in the Heisenberg-Kitaev chain
- Exploring spin-orbital models with dipolar fermions in zig-zag optical lattices
- Locally tunable disorder and entanglement in the one-dimensional plaquette orbital model
- Entanglement and its evolution after a quench in the presence of an energy current
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- Quantum phase transitions of a generalized compass chain with staggered Dzyaloshinskii-Moriya interaction