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Most quantum entanglement investigations are focused on two qubits or somefinite (small) chain structure, since the infinite chain structure is aconsiderably cumbersome task. Therefore, the quantum entanglement propertiesinvolving an infinite chain structure is quite important, not only because themathematical calculation is cumbersome but also because real materials are wellrepresented by an infinite chain. Thus, in this paper we consider an entangleddiamond chain with Ising and anisotropic Heisenberg (Ising-XXZ) coupling. Twointerstitial particles are coupled through Heisenberg coupling or simplytwo-qubit Heisenberg, which could be responsible for the emergence ofentanglement. These two-qubit Heisenberg operators are interacted with twonodal Ising spins. An infinite diamond chain is organized byinterstitial-interstitial and nodal-interstitial (dimer-monomer) sitecouplings. We are able to get the thermal average of the two-qubit operator,called the reduced two-qubit density operator. Since these density operatorsare spatially separated, we could obtain the concurrence (entanglement)directly in the thermodynamic limit. The thermal entanglement (concurrence) isconstructed for different values of the anisotropic Heisenberg parameter,magnetic field and temperature. We also observed the threshold temperature viathe parameter of anisotropy, Heisenberg and Ising interaction, externalmagnetic field, and temperature.

Thermal entanglement in exactly solvable Ising-XXZ diamond chain structure