Influence of spin Nernst coefficient on quantum correlations in the Haldane model of Dirac magnons

Abstract We investigate quantum correlations and entanglement of magnon Dirac in a noninteracting boson system given by the honeycomb ferromagnet. We analyze the influence of external magnetic field and Dzyaloshinskii-Moriya interaction (DMI), which induces an opening of a topological gap in the system and Chern-Simons effective action for the elastic degrees of freedom generated, on the measure of mixed state entanglement of the system given by the entanglement negativity. We get the behaviour of the entanglement spectrum and entanglement negativity as a function of the temperature and intensity of the external field with the aim to analyze the influence of variation of magnon bands induced on entanglement. Thermal and spin Hall transport properties of the system are also investigated where the influence of the spin Nernst coefficient on entanglement negativity is analyzed.