Dynamic probes of quantum spin chains with the Dzyaloshinskii-Moriya interaction

Abstract

We consider the spin-1/2 anisotropic XY chain in a transverse (z) field with the Dzyaloshinskii-Moriya interaction directed along z-axis in spin space to examine the effect of the Dzyaloshinskii-Moriya interaction on the zz, xx and yy dynamic structure factors. Using the Jordan-Wigner fermionization approach we analytically calculate the dynamic transverse spin structure factor. It is governed by a two-fermion excitation continuum. We analyze the effect of the Dzyaloshinskii-Moriya interaction on the two-fermion excitation continuum. Other dynamic structure factors which are governed by many-fermion excitations are calculated numerically. We discuss how the Dzyaloshinskii-Moriya interaction manifests itself in the dynamic properties of the quantum spin chain at various fields and temperatures.

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Cited by in corpus (26)

• Interplay between Symmetric Exchange Anisotropy, Uniform Dzyaloshinskii-Moriya Interaction and Magnetic Fields in the Phase Diagram of Quantum Magnets and Superconductors
• Quantum spin chains with frustration due to Dzyaloshinskii-Moriya interactions
• Exact description of the magnetoelectric effect in the spin-1/2 XXZ-chain with Dzyaloshinskii-Moriya interaction
• Entanglement entropy in quantum spin chains with broken reflection symmetry
• Multipartite entanglement at dynamical quantum phase transitions with non-uniformly spaced criticalities
• Effects of the Dzyaloshinsky-Moriya interaction on nonequilibrium thermodynamics in the $XY$ chain in a transverse field
• Quantum correlations in the 1D spin-1/2 Ising model with added Dzyaloshinskii-Moriya interaction
• Metamagnetic phase transition in the Ising plus Dzyaloshinskii-Moriya model
• Long-range spin chirality dimer order in the Heisenberg chain with modulated Dzyaloshinskii-Moriya interactions
• Phase boundaries in alternating field quantum XY model with Dzyaloshinskii-Moriya interaction: Sustainable entanglement in dynamics
• Topological Hybrids of Magnons and Magnon Bound Pairs
• Factorization, coherence and asymmetry in the Heisenberg spin-1/2 XXZ chain a transverse magnetic field and with Dzyaloshinskii-Moriya interaction
• Entanglement study of the 1D Ising model with Added Dzyaloshinsky-Moriya interaction
• Multi-Particle Spectral Properties in the Transverse Field Ising Model by Continuous Unitary Transformations
• The Heisenberg spin-1/2 XXZ chain in the presence of electric and magnetic fields
• Quantum Chaos in the Heisenberg Spin Chain: the Effect of Dzyaloshinskii-Moriya Interaction
• Magnetic phase diagram of a spin-1/2 XXZ chain with modulated Dzyaloshinskii-Moriya interaction
• Analytical results for the unusual Grüneisen ratio in the quantum Ising model with Dzyaloshinskii-Moriya interaction
• A random phase approximation study of one-dimensional fermions after a quantum quench
• Characterization of partially accessible anisotropic spin chains in the presence of anti-symmetric exchange
• LSM and CPT
• Separation of the Kibble-Zurek Mechanism from Quantum Criticality
• Field-Induced Ordered Phases in Anisotropic Spin-1/2 Kitaev Chains
• Effective simulation of state distribution in qubit chains
• Quantum phase transitions in the alternating XY chain with three-site interactions
• Fermionic Approach to Elementary Excitations and Magnetization Plateaus in an S=1/2 XX Hybrid Trimer-Dimer Chain