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.

arXiv comment11 pages, 4 figures, comments are welcome

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• Tunable moiré materials for probing Berry physics and topology
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• 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