Electrical magnetochiral anisotropy and quantum metric in chiral conductors

Abstract

Electrical magnetochiral anisotropy (EMCA) refers to the chirality- and current-dependent nonlinear magnetoresistance in chiral conductors and is commonly interpreted in a semiclassical picture. In this work, we reveal a quantum geometry origin of EMCA using a chiral rectangular lattice model that resembles a chiral organic conductor (DM-EDT-TTF)${}_2$ClO${}_4$ studied for EMCA recently and exhibits symmetry-protected Dirac bands similar to those of graphene. Compared to the semiclassical term, we find that Dirac states contribute significantly to both traditional longitudinal EMCA and the unconventional transverse EMCA via the quantum metric when Fermi energy is close to the Dirac point. Besides, we discover that a topological insulator state can emerge once spin-orbit coupling (SOC) is added to our chiral model lattice. Our work paves a path toward understanding quantum geometry in the magnetotransport of chiral materials.

14 pages, 4 figures

References in corpus (8)

• Quantum metric nonlinear Hall effect in a topological antiferromagnetic heterostructure
• Quantum metric-induced nonlinear transport in a topological antiferromagnet
• Gate-tuneable and chirality-dependent charge-to-spin conversion in Tellurium nanowires
• Unification of Nonlinear Anomalous Hall Effect and Nonreciprocal Magnetoresistance in Metals by the Quantum Geometry
• Strong electrical magneto-chiral anisotropy in tellurium
• Structural Chirality and Electronic Chirality in Quantum Materials
• Tunable Chirality-dependent Nonlinear Electrical Responses in 2D Tellurium
• Unifying semiclassics and quantum perturbation theory at nonlinear order

Cited by in corpus (3)

• Revealing Quantum Geometry in Nonlinear Quantum Materials
• Quantum geometry and the electric magnetochiral anisotropy in noncentrosymmetric polar media
• Room temperature quantum metric effect in TbMn6Sn6