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.

21 pages, 13 figures

References in corpus (17)

• Entanglement detection
• Quantum Open System Theory: Bipartite Aspects
• Entanglement in a second order quantum phase transition
• Spin chirality on a two-dimensional frustrated lattice
• Magnetocaloric effect in one-dimensional antiferromagnets
• Experimental Determination of Thermal Entanglement in Spin Clusters using Magnetic Susceptibility Measurements
• 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
• Exactly solvable Ising--Heisenberg chain with triangular XXZ-Heisenberg plaquettes
• 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
• Description of thermal entanglement with the static path plus random-phase approximation
• Thermal entanglement of spins in mean-field clusters
• Two-dimensional frustrated spin systems in high magnetic fields

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