Abstract
In this work, we investigate the effect of spin-phonon coupling on continuum spin conductivity in the spin-1 quantum three-dimensional XY model with single-ion anisotropy in the cubic lattice and in the neighborhood of a quantum phase transition by using Schwinger bosons formalism. It is well known that there is a phase transition in the model from a Néel phase to the paramagnetic phase. Since the model with Dzyaloshinskii-Moriya interaction plus single anisotropy term is a source of anomalous effects such as spin Hall effect, it is important to know the spin transport properties of this model.
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