Spin-nernst effect in the disordered phase of an antiferromagnet: A Schwinger boson mean-field study

We study the topological properties and symmetry constraints of spinon bands in the disordered state of an antiferromegnetic insulator. Time reversal symmetry breaking can give rise to spinon bands with non-vanishing berry curvature. Under appropriate lattice symmetries, the spinons of opposite polarity flow in opposite transverse direction in response to a longitudinal temperature gradient. Within Schinger-boson mean-field theory, we theoretically study the temperature dependenece of this spinon hall current.