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.

8 pages, 4 figures

References in corpus (25)

• Colloquium: Quantum anomalous Hall effect
• Intrinsic nonlinear Hall effect in antiferromagnetic tetragonal CuMnAs
• Band signatures for strong nonlinear Hall effect in bilayer WTe${}_2$
• Intrinsic Second-Order Anomalous Hall Effect and Its Application in Compensated Antiferromagnets
• Semiclassical theory of nonlinear magneto-optical responses with applications to topological Dirac/Weyl semimetals
• Unification of Nonlinear Anomalous Hall Effect and Nonreciprocal Magnetoresistance in Metals by the Quantum Geometry
• Why is the bulk resistivity of topological insulators so small?
• Strong electrical magneto-chiral anisotropy in tellurium
• Spectroscopic evidence for bulk-band inversion and three-dimensional massive Dirac fermions in ZrTe5
• Nonlinear electric transport in odd-parity magnetic multipole systems: Application to Mn-based compounds
• Gigantic magnetochiral anisotropy in the topological semimetal ZrTe5
• Nonlinear magnetotransport shaped by Fermi surface topology and convexity in WTe2
• Dissipation and geometry in nonlinear quantum transports of multiband electronic systems
• Two-dimensional topological insulator state in cadmium arsenide thin films
• Giant Magnetochiral Anisotropy in Weyl-semimetal WTe2 Induced by Diverging Berry Curvature
• Nonlinear magnetoconductivity in Weyl and multi-Weyl semimetal in quantizing magnetic field
• Topological Lifshitz transition and one-dimensional Weyl mode in HfTe5
• Signatures of a magnetic-field-induced Lifshitz transition in the ultra-quantum limit of the topological semimetal ZrTe${}_5$
• Quantum oscillations in the zeroth Landau Level and the serpentine Landau fan
• Disorder and magnetic transport in tilted Weyl semimetals
• Quantum oscillations and three-dimensional quantum Hall effect in ZrTe${}_5$
• Disorder and magnetoconductivity in tilted Weyl semimetals
• Unconventional optical selection rules in ZrTe5 under an in-plane magnetic field
• Magnetic field driven Lifshitz transition and one-dimensional Weyl nodes in three-dimensional pentatellurides
• Giant nonlinear response due to unconventional oscillation in Nodal-line semimetals

Cited by in corpus (1)

• Two-dimensional bound excitons in real space and Landau quantization space: A comparative study