Thermal entanglement in a spin-1/2 Ising-XYZ distorted diamond chain with the second-neighbor interaction between nodal Ising spins

Abstract

We consider a spin-1/2 Ising-XYZ distorted diamond chain with the XYZ interaction between the interstitial Heisenberg dimers, the nearest-neighbor Ising coupling between the nodal and interstitial spins, respectively, and the second-neighbor Ising coupling between the nodal spins. The ground-state phase diagram of the spin-1/2 Ising-XYZ distorted diamond chain exhibits several intriguing phases due to the XY anisotropy and the second-neighbor interaction, whereas the model can be exactly solved using the transfer-matrix technique. The quantum entanglement within the Heisenberg spin dimers is studied through a bipartite measure concurrence, which is calculated from a relevant reduced density operator. The concurrence may either show a standard thermal dependence with a monotonous decline with increasing temperature or a more peculiar thermal dependence accompanied with reentrant behavior of the concurrence. It is conjectured that the bipartite entanglement between the interstitial Heisenberg spin pairs in the natural mineral azurite is quite insensitive to the applied magnetic field and it persists up to approximately 30 Kelvins.

The Effects of an Impurity in an Ising‐XXZ Diamond Chain on Thermal Entanglement, on Quantum Coherence, and on Quantum Teleportation

“…Various thermodynamic properties of them were extensively investigated . Recently, the thermal quantum entanglement in some exactly solvable Ising–Heisenberg diamond chains have been analyzed and properly discussed . More recently, Rojas et al .…”

Unconventional Thermal and Magnetic-Field-Driven Changes of a Bipartite Entanglement of a Mixed Spin-(1/2,S) Heisenberg Dimer with an Uniaxial Single-Ion Anisotropy

“…From a theoretical perspective low-dimensional Heisenberg spin models seem to be a reasonable theoretical ground, which allows an exact study of the quantum and thermal entanglement depending on external stimuli such as the magnetic field and/or temperature [16][17][18][19][20][21][22][23][24][25][26][27][28]. Besides the most intensively analysed spin-1/2 case, a few theoretical works were focused on the entanglement of the mixed-spin Heisenberg systems .…”

Ground State, Magnetization Process and Bipartite Quantum Entanglement of a Spin-1/2 Ising–Heisenberg Model on Planar Lattices of Interconnected Trigonal Bipyramids

“…To date, the bipartite entanglement has been rigorously examined in several one-(1D) and two-dimensional (2D) mixed-spin Ising-Heisenberg models formed by the identical Heisenberg dimers or triangular clusters which interact with each other via the intermediate nodal Ising spin(s) [36][37][38][39][40][41][42][43][44][45]. The investigations brought a deeper insight into the thermal and magnetic-field-driven changes of the phenomenon [36][37][38][39][40][41][42][43], the impact of the model's parameters on the phenomenon [36,[39][40][41][42][43][44][45], as well as the evolution of the phenomenon near and above second-order (continuous) phase transitions [44,45] without any artefacts arising from approximations.…”

“…To date, the bipartite entanglement has been rigorously examined in several one-(1D) and two-dimensional (2D) mixed-spin Ising-Heisenberg models formed by the identical Heisenberg dimers or triangular clusters which interact with each other via the intermediate nodal Ising spin(s) [36][37][38][39][40][41][42][43][44][45]. The investigations brought a deeper insight into the thermal and magnetic-field-driven changes of the phenomenon [36][37][38][39][40][41][42][43], the impact of the model's parameters on the phenomenon [36,[39][40][41][42][43][44][45], as well as the evolution of the phenomenon near and above second-order (continuous) phase transitions [44,45] without any artefacts arising from approximations. Despite their simplicity and the general opinion that the simpler mixed-spin Ising-Heisenberg systems involving isolated local quantum correlations are artificial models, some of the results were in a very good correspondence with ones obtained for more complex Heisenberg counterparts [40] and also with experiments [38,46,47].…”