Thermal entanglement in exactly solvable Ising-XXZ diamond chain structure

Abstract

Most quantum entanglement investigations are focused on two qubits or some finite (small) chain structure, since the infinite chain structure is a considerably cumbersome task. Therefore, the quantum entanglement properties involving an infinite chain structure is quite important, not only because the mathematical calculation is cumbersome but also because real materials are well represented by an infinite chain. Thus, in this paper we consider an entangled diamond chain with Ising and anisotropic Heisenberg (Ising-XXZ) coupling. Two interstitial particles are coupled through Heisenberg coupling or simply two-qubit Heisenberg, which could be responsible for the emergence of entanglement. These two-qubit Heisenberg operators are interacted with two nodal Ising spins. An infinite diamond chain is organized by interstitial-interstitial and nodal-interstitial (dimer-monomer) site couplings. We are able to get the thermal average of the two-qubit operator, called the reduced two-qubit density operator. Since these density operators are spatially separated, we could obtain the concurrence (entanglement) directly in the thermodynamic limit. The thermal entanglement (concurrence) is constructed for different values of the anisotropic Heisenberg parameter, magnetic field and temperature. We also observed the threshold temperature via the parameter of anisotropy, Heisenberg and Ising interaction, external magnetic field, and temperature.

9 pages, 11 figures

References in corpus (11)

• Entanglement detection
• Diverging Entanglement Length in Gapped Quantum Spin Systems
• Localizable Entanglement
• Nature of the spin dynamics and 1/3 magnetization plateau in azurite
• Geometric frustration in the class of exactly solvable Ising-Heisenberg diamond chains
• Magnetism and Thermodynamics of Spin-1/2 Heisenberg Diamond Chains in a Magnetic Field
• Dynamic and thermodynamic properties of the generalised diamond chain model for azurite
• Exactly solvable mixed-spin Ising-Heisenberg diamond chain with the biquadratic interactions and single-ion anisotropy
• Phase diagram of the asymmetric tetrahedral Ising-Heisenberg chain
• Chiral entanglement in triangular lattice models
• Spinless fermion model on diamond chain

Cited by in corpus (1)

• Interplay between spin frustration and thermal entanglement in the exactly solved Ising-Heisenberg tetrahedral chain