Criticality and factorization in the Heisenberg chain with Dzyaloshinskii-Moriya interaction
arXiv:1907.05303 · doi:10.1103/PhysRevB.100.024423
Abstract
In this work, we address the ground state properties of the anisotropic spin-1/2 Heisenberg XYZ chain under the interplay of magnetic fields and the Dzyaloshinskii-Moriya (DM) interaction which we interpret as an electric field. The identification of the regions of enhanced sensitivity determines criticality in this model. We calculate the Wigner-Yanase skew information (WYSI) as a coherence witness of an arbitrary two-qubit state under specific measurement bases. The WYSI is demonstrated to be a good indicator for detecting the quantum phase transitions. The finite-size scaling of coherence susceptibility is investigated. We find that the factorization line in the antiferromagnetic phase becomes the factorization volume in the gapless chiral phase induced by DM interactions, implied by the vanishing concurrence for a wide range of field. We also present the phase diagram of the model with three phases: antiferromagnetic, paramagnetic, and chiral, and point out a few common mistakes in deriving the correlation functions for the systems with broken reflection symmetry.
12 pages, 8 figures, accepted by Physical Review B
References in corpus (25)
- Role of the Dzyaloshinskii-Moriya interaction in multiferroic perovskites
- Measuring Quantum Coherence with Entanglement
- Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
- Description of quantum coherence in thermodynamic processes requires constraints beyond free energy
- Robustness of quantum discord to sudden death
- Fidelity, dynamic structure factor, and susceptibility in critical phenomena
- Observable measure of quantum coherence in finite dimensional systems
- Quantum coherence, time-translation symmetry and thermodynamics
- Long wavelength helimagnetic order and skyrmion lattice phase in Cu2OSeO3
- Discovering Phases, Phase Transitions and Crossovers through Unsupervised Machine Learning: A critical examination
- Quantum coherence and uncertainty in the anisotropic XY chain
- Mixed-state fidelity and quantum criticality at finite temperature
- Bose Hubbard Models with Synthetic Spin-Orbit Coupling: Mott Insulators, Spin Textures and Superfluidity
- Machine learning vortices at the Kosterlitz-Thouless transition
- Strong Dzyaloshinskii-Moriya Interaction and Origin of Ferroelectricity in Cu2OSeO3
- Unsupervised Learning of Frustrated Classical Spin Models I: Principle Component Analysis
- Entanglement and factorized ground states in two-dimensional quantum antiferromagnets
- Some remarks on 'superradiant' phase transitions in light-matter systems
- Theory of ground state factorization in quantum cooperative systems
- Magnetic dispersion and anisotropy in multiferroic BiFeO3
- Quantum coherence of planar spin models with Dzyaloshinsky-Moriya interaction
- Exact description of the magnetoelectric effect in the spin-1/2 XXZ-chain with Dzyaloshinskii-Moriya interaction
- Exact treatment of magnetism-driven ferroelectricity in the one-dimensional compass model
- Factorization and criticality in finite XXZ systems of arbitrary spin
- Emergent phases in a compass chain with multisite interactions
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- Two-dimensional transverse-field model with the in-plane anisotropy and Dzyaloshinskii-Moriya interaction: Anisotropy-driven transition
- Long-Range Order and Quantum Criticality in Antiferromagnetic Chains with Long-Range Staggered Interactions
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