Berry curvature induced nonlinear magnetoresistivity in two dimensional systems

Abstract

The band geometric properties of quantum materials play an elemental role in the linear and nonlinear transport of electrons. In this paper, we propose that the interplay of the Berry curvature, the orbital magnetic moment and the Lorentz force can induce a finite nonlinear resistivity in two dimensional systems in presence of a perpendicular magnetic field. The induced nonlinear magnetoresistivity scales linearly with the magnetic field and is purely quantum mechanical in origin. This novel transport signature can be used as an additional experimental probe for the geometric quantities in intrinsically time reversal symmetric systems.

11 pages, 4 figures, comments are welcome

References in corpus (18)

• Semiclassical theories of the anomalous Hall effect
• Photocurrents in Weyl semimetals
• 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
• Large Unidirectional Magnetoresistance in a Magnetic Topological Insulator
• Semiclassical theory of nonlinear magneto-optical responses with applications to topological Dirac/Weyl semimetals
• Nonlinear planar Hall effect
• Berry connection polarizability tensor and third-order Hall effect
• Quantum Kinetic Theory of the Chiral Anomaly
• Resonant photovoltaic effect in doped magnetic semiconductors
• Semiclassical theory of the photogalvanic effect in non-centrosymmetric systems
• Semiclassical theory of the circular photogalvanic effect in gyrotropic systems
• Intrinsic Hall conductivities induced by the orbital magnetic moment
• Chiral Anomaly and Second Harmonic Generation in Weyl Semimetals
• Unconventional anomalous Hall effect from magnetization parallel to the electric field
• Magnetic field-Induced Nonlinear Optical Responses in Inversion Symmetric Dirac Semimetals
• Resonant Nonlinear Hall Effect in Two-Dimensional Electron Systems

Cited by in corpus (12)

• Tunable moiré materials for probing Berry physics and topology
• Dominance of extrinsic scattering mechanisms in the orbital Hall effect: graphene, transition metal dichalcogenides and topological antiferromagnets
• Orbital angular momentum of Bloch electrons: equilibrium formulation, magneto-electric phenomena, and the orbital Hall effect
• Nonlinear magnetoconductivity in Weyl and multi-Weyl semimetal in quantizing magnetic field
• Quantum Kinetic Theory of Nonlinear Optical Currents: Finite Fermi surface and Fermi sea contributions
• Determination of spin-orbit interaction in semiconductor nanostructures via non-linear transport
• Nonlinear magnetotransport in a two-dimensional system with merging Dirac points
• Room Temperature Ferroelectricity and Electrically Tunable Berry Curvature Dipole in III-V Monolayers
• Symmetry-driven Intrinsic Nonlinear Pure Spin Hall Effect
• Universal intrinsic orbital dynamics from Berry curvature in electronic two-band systems
• Energy magnetization and transport in systems with a non-zero Berry curvature in a magnetic field
• Semiclassical theory for the orbital magnetic moment of superconducting quasiparticles