  Noncollinear antiferromagnets (nc-AFMs) have attracted increasing research
attention in spintronics due to their unique spin structures and fascinating
charge and spin transport properties. By using first-principles calculations,
we comprehensively investigate the charge and spin Hall effects in
representative noncollinear antiferromagnet Mn3Pt. Our study reveals that the
Hall effects in nc-AFMs are critically dependent on the crystal facet
orientation and temperature. For (001) orientated Mn3Pt, each charge and spin
Hall conductivity element is comprised of both time reversal odd (T-odd) and
even (T-even) contribution, associated with longitudinal conductivity, which
leads to sizable and highly anisotropic Hall conductivity. The temperature
dependence of charge and spin Hall conductivity has been elucidated by
considering both phonon and spin disorder scattering. The scaling relations
between Hall conductivity and longitudinal conductivity have also been
investigated. The existence of prominent spin Hall effect in nc-AFMs may
generate spin current with Sz spin polarization, which is advantageous for
field free switching of perpendicular magnetization. Our work may provide
unambiguous understanding on the charge and spin transport in noncollinear
antiferromagnets and pave their way for applications in antiferromagnetic
spintronics.
