Intrinsic Hall conductivities induced by the orbital magnetic moment

Abstract

The intrinsic anomalous Hall effect is one of the most exciting manifestations of the geometric properties of the electronic wave-function. Here, we predict that the electronic wave-function's geometric nature also gives rise to a purely quantum mechanical, {\it intrinsic} (scattering time-independent) component of the Hall conductivities in the presence of a magnetic field. We show that the orbital magnetic moment and the anomalous Hall velocity combine to generate a scattering time-independent contribution to the Hall effect, in addition to the Lorentz force induced scattering time-dependent `classical' Hall effect. This dissipation-less Hall effect also manifests in the thermo-electric and thermal conductivities and is dominant near the band edges and band-crossings. It gives rise to negative magneto-resistance and it also leads to an underestimation in the charge carrier density measured in Hall experiments.

6 pages, 4 figures. Any feedback will be highly appreciated

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• Semiclassical theory of nonlinear magneto-optical responses with applications to topological Dirac/Weyl semimetals
• Adiabatically Induced Orbital Magnetization
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Cited by in corpus (22)

• Orbital Hall effect in bilayer transition metal dichalcogenides: From the intra-atomic approximation to the Bloch states orbital magnetic moment approach
• Semiclassical equations of motion for disordered conductors: extrinsic interband velocity, corrected collision integral and spin-orbit torques
• 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
• Intrinsic negative magnetoresistance from the chiral anomaly of multifold fermions
• Quantum kinetic theory of nonlinear thermal current
• Berry curvature induced nonlinear magnetoresistivity in two dimensional systems
• Reversal of Orbital Hall Conductivity and Emergence of Tunable Topological Quantum States in Orbital Hall Insulator
• Nonlinear magnetotransport in Weyl semimetal
• Chiral anomalies in 3D spin-orbit coupled metals: electrical, thermal, and gravitational anomaly
• Planar Hall Effect in Quasi-Two-Dimensional Materials
• Chiral anomaly in noncentrosymmetric systems induced by spin-orbit coupling
• Anomalous transport in pseudospin-1 fermions
• Intrinsic nonlinear Nernst and Seebeck effect
• Magnetoresistance in Noncentrosymmetric Two-dimensional Systems
• Planar Nernst effect from hidden band geometry in layered two-dimensional materials
• Odd-parity longitudinal magnetoconductivity in time-reversal symmetry broken materials
• Extended Haldane Model in The Dice Lattice: Multiple Flat-Band-Induced topological Transitions Revealed
• Comparing the Extrinsic Orbital Hall Effect in Centrosymmetric and Noncentrosymmetric Systems: Insights from Bilayer Transition Metal Dichalcogenides
• Energy magnetization and transport in systems with a non-zero Berry curvature in a magnetic field
• General solution for the response of materials under radiation and tilted magnetic field: semi-classical regime