Thermal entanglement of a spin-1/2 Ising–Heisenberg model on a symmetrical diamond chain

Abstract

The entanglement quantum properties of a spin-1/2 Ising-Heisenberg model on a symmetrical diamond chain were analyzed. Due to the separable nature of the Ising-type exchange interactions between neighboring Heisenberg dimers, calculation of the entanglement can be performed exactly for each individual dimer. Pairwise thermal entanglement was studied in terms of the isotropic Ising-Heisenberg model and analytical expressions for the concurrence (as a measure of bipartite entanglement) were obtained. The effects of external magnetic field H and next-nearest neighbor interaction J(m) between nodal Ising sites were considered. The ground state structure and entanglement properties of the system were studied in a wide range of coupling constant values. Various regimes with different values of ground state entanglement were revealed, depending on the relation between competing interaction strengths. Finally, some novel effects, such as the two-peak behavior of concurrence versus temperature and coexistence of phases with different values of magnetic entanglement, were observed.

Thermal entanglement in an exactly solvable Ising-XXZdiamond chain structure

“…The cluster approach [15] becomes identical to transfer-matrix approach (the present approach) only when the magnetic field is zero. Later, in the next section (Fig.…”

“…It is quite relevant to study the thermal entanglement of the Ising-XXZ on diamond chain, as Ananikian et al [15,16] have discussed the thermal entanglement of the Ising-Heisenberg chain in the isotropic limit in the cluster approach. The paper is organized as follows: In Sec.…”

Exactly solvable spin-1 Ising–Heisenberg diamond chain with the second-neighbor interaction between nodal spins

“…In spite of a certain over-simplification, the generalized version of the spin-1/2 Ising-Heisenberg diamond chain qualitatively reproduces magnetization, specific heat and susceptibility data reported on the azurite Cu 3 (CO 3 ) 2 (OH) 2 , which represents the most prominent experimental realization of the spin-1/2 diamond chain [3,4,5,6]. A lot of attention has been therefore paid to a comprehensive analysis of quantum and thermal entanglement [7,8,9,10,11], correlation functions [12], Lyapunov exponent [13], zeros of partition function [14], magnetocaloric effect [15], the influence of asymmetric [16,17], further-neighbor [18] and four-spin interactions [19,20].…”

Entanglement, magnetic and quadrupole moments properties of the mixed spin Ising–Heisenberg diamond chain

“…Models on diamond chains, exhibiting interesting quantum magnetic phenomena have recently been intensively studied theoretically [17,18,19,20,21,22,23,24,25,26,27]. The interest to this type of system has been increased since experimental work of Kikuchi and co-workers [28,29], where natural mineral azurite (Cu 3 (CO 3 ) 2 (OH) 2 ) has been recognized as an appropriate candidate for diamond chain compound.…”