Logarithmic negativity of the 1D antiferromagnetic spin-1 Heisenberg model with single-ion anisotropy

Abstract

We study the 1D antiferromagnetic spin-1 Heisenberg XXX model with external magnetic field B and single-ion anisotropy D on finite chains. We determine the nearest and non-nearest neighbor logarithmic entanglement LN. Our main result is the disappearance of LN both for nearest and non-nearest neighbor (next-nearest and next-next-nearest) sites at zero temperature and for low temperature states. Such disappearance occurs at a critical value of B and D. The resulting phase diagram for the behaviour of LN is discussed in the B - D plane, including a separating line - ending in a triple point - where the energy density is independent on the size. Finally, results for LN at finite temperature as a function of B and D are presented and commented.

arXiv comment21 pages, 12 figures

References in corpus (29)

• Quantum entanglement
• A computable measure of entanglement
• Entanglement Entropy and Quantum Field Theory
• Entropy and Area
• The logarithmic negativity: A full entanglement monotone that is not convex
• Natural Thermal and Magnetic Entanglement in 1D Heisenberg Model
• Ground State Phase Diagram of S=1 XXZ Chains with Uniaxial Single-Ion-Type Anisotropy
• Magnetic Susceptibility as a Macrosopic Entaglement Witness
• Multi-step approach to microscopic models for frustrated quantum magnets - the case of the natural mineral azurite
• Nature of the spin dynamics and 1/3 magnetization plateau in azurite
• The entanglement negativity in random spin chains
• Entanglement and correlation in anisotropic quantum spin systems
• Thermal entanglement in exactly solvable Ising-XXZ diamond chain structure
• Accurate determination of the Gaussian transition in spin-1 chains with single-ion anisotropy
• Explicit Hamiltonians Inducing Volume Law for Entanglement Entropy in Fermionic Lattices
• Matrix Product State and Quantum Phase Transitions in the One-Dimensional Extended Quantum Compass Model
• Entanglement in spin-one Heisenberg chains
• Spin Configuration in the 1/3 Magnetization Plateau of Azurite Determined by NMR
• Magnetic and quantum entanglement properties of the distorted diamond chain model for azurite
• Sharp entanglement thresholds in the logarithmic negativity of disjoint blocks in the transverse-field Ising chain
• Magnetic behavior of a spin-1 dimer: model system for homodinuclear nickel (II) complexes
• Phase Diagrams, Distinct Conformal Anomalies and Thermodynamics of Spin-1 Bond-Alternating Heisenberg Antiferromagnetic Chain in Magnetic Fields
• Quantum phase transitions in a spin-1 antiferromagnetic chain with long-range interactions and modulated single-ion anisotropy
• Haldane Topological Orders in Motzkin Spin Chains
• Phase transitions and entanglement properties in spin-1 Heisenberg clusters with single-ion anisotropy
• Magnetic and thermodynamic properties of the octanuclear nickel phosphonate-based cage
• Single-ion anisotropy in Haldane chains and form factor of the O(3) nonlinear sigma model
• Enhanced magnetocaloric effect in a mixed spin-(1/2, 1) Ising-Heisenberg two-leg ladder with strong-rung interaction
• Quantum criticality in dimerised anisotropic spin-1 chains