Thermal Entanglement in the Quantum XXZ Model in Triangular and Bilayer Honeycomb Lattices

Abstract

Thermal entanglement is studied in the frustrated two-dimensional Heisenberg model in triangular and honeycomb lattices employing linear spin waves. Our results display a strong effect of the coupling parameters of next-nearest neighbors interaction $$\alpha =J'/J$$ on entanglement at $$T\rightarrow 0$$ , where the spin Hall conductivity is nonzero for a value of external field H. We employ linear spin waves to investigate the entanglement with T and next-nearest neighbor interaction $$J'$$. For the bilayer honeycomb lattice, we analyze the entanglement as a function of inter-chain coupling $$J^{\perp }$$, and in this case we find that the entanglement tends to zero at $$T=0$$, where it decreases with $$J^{\perp }$$ for higher temperatures.