Thermal Entanglement of Spin-1/2 Ising-Heisenberg Model on a Symmetrical Diamond Chain

Physics – Condensed Matter – Strongly Correlated Electrons

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Scientific paper

The quantum entanglement properties in spin-1/2 Ising-Heisenberg model on a symmetrical diamond chain have been analyzed. Because of a separable character of Ising-type exchange interactions between adjacent Heisenberg dimers, the calculation of entanglement can be exactly performed for each dimer individually. The pairwise thermal entanglement have been studied in terms of an isotropic Ising-Heisenberg model and analytic expressions for the concurrence (as a measure of bipartite entanglement) were obtained. The effects of external magnetic field $H$ and next-nearest neighbor interaction between nodal Ising sites $J_m$ were considered. The phase structure and entanglement properties of the system have been studied in a wide range of coupling constant values, since there is a controversy on them for some particular materials with a diamond chain structure (e.g. for azurite Cu$_3$(CO$_3$)$_2$(OH)$_2$) due to the fact that different compounds can be described by means of a diamond chain, with a change in the values of exchange interaction strength. Various regimes with different values of ground-state entanglement, depending on the relation between competing interaction strengths were revealed. 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.

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