  By investigating the nonequilibrium transport across a metal/superconductor
junction in both nonrelativistic and relativistic cases, we reveal that the
asymmetric Andreev reflection with anisotropic superconductors is able to
induce the electric and thermal Hall-like effect, in the absence of magnetic
field. That is, a longitudinal electric voltage or temperature bias can induce
transverse electric or thermal currents merely through the asymmetric Andreev
reflection, respectively. In particular, a transverse thermoelectric effect,
i.e., the Ettingshausen-like effect, is identified, although the conjugate
Nernst effect is absent. The direction change of these electric and thermal
Hall-like currents is also discussed. The Hall-like effects uncovered here do
not require the conventional time-reversal symmetry breaking, but rather
originate from the mirror symmetry breaking with respect to the interface
normal due to the anisotropic paring symmetry of the superconductor.
