Quantum theory of the magnetochiral anisotropy coefficient in ZrTe${}_5$

Abstract

Recent experiments performed the nonreciprocal magneotransport in ZrTe${}_5$ and obtained a giant magnetochiral anisotropy (MCA) coefficient ${\gamma }^{\prime }$. The existing theoretical analysis was based on the semiclassical Boltzmann equation. In this paper, we develop a full quantum theory to calculate ${\gamma }^{\prime }$ and further explore the underlying physics. We reveal that the $xz$-mirror symmetry breaking term also breaks the parity symmetry of the system and leads to mixed selection rules and nonvanishing second-order conductivity ${\sigma }_{xxx}$. The calculations show that ${\gamma }^{\prime }$ decreases with the magnetic field, survives only to weak impurity scatterings, and exhibits a nonmonotonous dependence on the strength of the $xz$-mirror symmetry breaking. Our paper can provide a deeper insight into the intrinsic nonreciprocal magnetotransport phenomena in the topological semimetal material.

arXiv comment8 pages, 4 figures

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