Quantum entanglement-driven modulation of spin transport in honeycomb ferromagnets

Abstract We investigate how exchange interactions shape both quantum entanglement and the magnon Nernst effect in a two-dimensional ferromagnet on a honeycomb lattice. In particular, we examine how variations in the exchange parameters influence the spin Nernst coefficient and, in turn, modify the entanglement properties of the system. Entanglement negativity is employed as the primary quantifier of quantum correlations, providing a reliable measure for mixed states. Our analysis of the spin Nernst response shows that the coefficient vanishes at zero temperature, reflecting the absence of thermally excited magnons in this limit.