Magnetic Properties and Thermal Entanglement on a Triangulated Kagome Lattice

Abstract

The magnetic and entanglement thermal (equilibrium) properties in spin-1/2 Ising-Heisenberg model on a triangulated Kagome lattice are analyzed by means of variational mean-field like treatment based on Gibbs-Bogoliubov inequality. Because of the separable character of Ising-type exchange interactions between the Heisenberg trimers the calculation of quantum entanglement in a self-consistent field can be performed for each of the trimers individually. The concurrence in terms of three qubit isotropic Heisenberg model in effective Ising field is non-zero even in the absence of a magnetic field. The magnetic and entanglement properties exhibit common (plateau and peak) features observable via (antferromagnetic) coupling constant and external magnetic field. The critical temperature for the phase transition and threshold temperature for concurrence coincide in the case of antiferromagnetic coupling between qubits. The existence of entangled and disentangled phases in saturated and frustrated phases is established.

arXiv comment21 pages, 13 figures

References in corpus (61)

• Quantum entanglement
• Entanglement of Formation of an Arbitrary State of Two Qubits
• Mixed State Entanglement and Quantum Error Correction
• Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels
• Entanglement of a Pair of Quantum Bits
• Entanglement in quantum critical phenomena
• Entanglement detection
• Entanglement entropy and conformal field theory
• Magnetic Pyrochlore Oxides
• Natural Thermal and Magnetic Entanglement in 1D Heisenberg Model
• Reduced density matrices and entanglement entropy in free lattice models
• Geometric measure of entanglement and applications to bipartite and multipartite quantum states
• Quantum Open System Theory: Bipartite Aspects
• Entanglement in the Quantum Heisenberg XY model
• Global entanglement in multiparticle systems
• Low-temperature properties of classical, geometrically frustrated antiferromagnets
• Ising models of quantum frustration
• Entangled Rings
• Entanglement in a second order quantum phase transition
• Spin chirality on a two-dimensional frustrated lattice
• Thermal concurrence mixing in a 1D Ising model
• Quantum entanglement and Bell inequalities in Heisenberg spin chains
• Frustrated antiferromagnets with entanglement renormalization: ground state of the spin-1/2 Heisenberg model on a kagome lattice
• Quantum spin liquid states in the two dimensional kagome antiferromagnets, ZnxCu4-x(OD)6Cl2
• Magnetic Susceptibility as a Macrosopic Entaglement Witness
• Effects of anisotropy on thermal entanglement
• Generalizations of entanglement based on coherent states and convex sets
• Magnetocaloric effect in one-dimensional antiferromagnets
• Thermal entanglement in three-qubit Heisenberg models
• Entanglement entropy of two disjoint blocks in critical Ising models
• Entanglement Scaling in the One-Dimensional Hubbard Model at Criticality
• Field induced ordering in highly frustrated antiferromagnets
• Algebraic characterization of X-states in quantum information
• Theory of magnetization plateaux in the Shastry-Sutherland model
• Experimental Determination of Thermal Entanglement in Spin Clusters using Magnetic Susceptibility Measurements
• Frustration-Induced Two Dimensional Quantum Disordered Phase in Piperazinium Hexachlorodicuprate
• Exchange Interactions and High-Energy Spin States in Mn_12-acetate
• Experimental observation of quantum entanglement in low dimensional spin systems
• Hastening, delaying, or averting sudden death of quantum entanglement
• Magnetic dilution in the geometrically frustrated SrCr${}_{9p}$Ga${}_{12-9p}$O${}_{19}$ and the role of local dynamics: a $\mu$SR study
• Observation of a Transient Magnetization Plateau in a Quantum Antiferromagnet on the Kagome Lattice
• Exact calculation of the magnetocaloric effect in the spin-1/2 XXZ chain
• Exactly solvable Ising--Heisenberg chain with triangular XXZ-Heisenberg plaquettes
• An exact study of charge-spin separation, pairing fluctuations and pseudogaps in four-site Hubbard clusters
• Entanglement and Bell's inequality violation above room temperature in metal carboxylates
• Exact solution of the geometrically frustrated spin-1/2 Ising-Heisenberg model on the triangulated Kagome (triangles-in-triangles) lattice
• XXZ and Ising Spins on the Triangular Kagome Lattice
• Thermal entanglement of one-dimensional Heisenberg quantum spin chains in magnetic fields
• Charge disproportionation and collinear magnetic order in the frustrated triangular antiferromagnet AgNiO2
• Mean Field Approximations and Multipartite Thermal Correlations
• Quantum Entanglement in Heisenberg Antiferromagnets
• Entanglement temperature in molecular magnets composed of S-spin dimers
• Dynamics of the inhomogeneous Dicke model
• Tomonaga-Luttinger Liquid in a Quasi-One-Dimensional S=1 Antiferromagnet Observed by the Specific Heat
• Local physics of magnetization plateaux in the Shastry-Sutherland model
• Entanglement and magnetic order
• Description of thermal entanglement with the static path plus random-phase approximation
• Magnetic phase diagram of the dimerized spin $S=1/2$ ladder
• Thermodynamic behavior of the XXZ Heisenberg s=1/2 chain around the factorizing magnetic field
• Thermal entanglement of spins in mean-field clusters
• Two-dimensional frustrated spin systems in high magnetic fields

Cited by in corpus (10)

• Magnetic and quantum entanglement properties of the distorted diamond chain model for azurite
• Evidence for entanglement at high temperatures in an engineered molecular magnet
• Entanglement, magnetic and quadrupole moments properties of the mixed spin Ising-Heisenberg diamond chain
• Phase transitions and entanglement properties in spin-1 Heisenberg clusters with single-ion anisotropy
• Generation of entanglement in systems of intercoupled qubits
• Magnetic properties and concurrence for fluid 3He on kagome lattice
• Quantum entanglement in mixed-spin trimer: Effects of a magnetic field and heterogeneous g-factors
• Bipartite entanglement in the spin-1/2 Ising-Heisenberg planar lattice constituted of identical trigonal bipyramidal plaquettes
• Chaotic spin-spin entanglement on a recursive lattice
• Tripartite entanglement in mixed-spin triangle trimmer