Magnon spin Nernst effect in antiferromagnets
  We predict that a temperature gradient can induce a magnon-mediated spin Hall response in an antiferromagnet with non-trivial magnon Berry curvature. We develop a linear response theory which gives a general condition for a Hall current to be well defined, even when the thermal Hall response is forbidden by symmetry. We apply our theory to a honeycomb lattice antiferromagnet and discuss a role of magnon edge states in a finite geometry. 
Vladimir A. Zyuzin and Alexey A. Kovalev
cond-mat.mes-hall