Thermodynamic, entanglement and spin Hall conductivity on kagome-honeycomb lattice system

Abstract

Thermodynamics quantities as entropy, specific heat and magnetic susceptibility are studied in the next-nearest-neighbors Heisenberg model on honeycomb-kagome lattice also nominated as edge-centered honeycomb lattice model. Using the linear spin-wave approach, we get all thermodynamics quantities as a function of temperature T. Moreover, we study the entanglement negativity as quantifier of quantum entanglement and the spin Hall conductivity. All the thermodynamics quantities as well as entanglement negativity and spin Hall conductivity present a rising behavior with the temperature. Moreover, we obtain that all quantities analyzed drop to zero at low-temperature limit as has been obtained experimentally for many magnetic compounds.