Abstract:
A spin system with helical order can exhibit nontrivial topology of the band structure. An example of such a system is the metallic delafossite PdCrO$_2$. To describe its transport properties, a simple two-dimensional quasi-isotropic model of the Fermi surface has been proposed, which takes into account the emergence of spin texture, i. e., it consists of alternating fragments with opposite spin polarization. It has been shown that this model can explain the emergence of non-reciprocal electronic transport observed in the metallic delafossite PdCrO$_2$, as well as the unusual anomalous Hall effect.