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In this paper we theoretically predict a distinct class of anomalous Halleffects occurring in metallic collinear antiferromagnets. The effect isquadratic and $d-$wave symmetric in external magnetic field. In addition, theelectric current, transverse to the current voltage drop and the magnetic fieldin the predicted effect are all in the same plane. Studied theoretical modelconsists of two-dimensional fermions interacting with the Neel order throughmomentum dependent exchange interaction having a $d-$wave symmetry. We alsofind unusual linear magnetoconductivity in this model.

d-Wave Hall effect and linear magnetoconductivity in metallic collinear antiferromagnets