General solution for the response of materials under radiation and tilted magnetic field: semi-classical regime

Abstract

The Berry curvature dipole is well-known to cause Hall conductivity. This study expands on previous results to demonstrate how two- and three-dimensional materials react under a tilted magnetic field in the linear and nonlinear regimes. We show how the Hall effect has a quantum origin by deriving the general form of intrinsic and extrinsic currents in materials under a tilted magnetic field. Our focus is on determining the linear and nonlinear response of two-dimensional materials. We also demonstrate that as the result of the perpendicular component of the magnetic field a current resulted by both velocity and Berry curvature can occur in two-dimensional materials and topological crystalline insulators in second harmonic generation and ratchet responses. The findings of this research may provide insight into the transport characteristics of materials in the semi-classical regime and initiate a new chapter in linear and nonlinear Hall effects.

References in corpus (29)

• Berry Phase Effects on Electronic Properties
• Artificial Brownian motors: Controlling transport on the nanoscale
• Quantum nonlinear Hall effect induced by Berry curvature dipole in time-reversal invariant materials
• Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects
• Field Induced Positional Shift of Bloch Electrons and its Dynamical Implications
• Nonlinear Hall Effects
• Quantum metric nonlinear Hall effect in a topological antiferromagnetic heterostructure
• Quantum metric-induced nonlinear transport in a topological antiferromagnet
• Intrinsic nonlinear Hall effect in antiferromagnetic tetragonal CuMnAs
• Landau quantization and the thickness limit of topological insulator thin films of Sb2Te3
• Intrinsic Second-Order Anomalous Hall Effect and Its Application in Compensated Antiferromagnets
• Room temperature high frequency transport of Dirac fermions in epitaxially grown Sb_2Te_3 based topological insulators
• Berry Curvature Dipole in Strained Graphene: a Fermi Surface Warping Effect
• Nonlinear spin current generation in noncentrosymmetric spin-orbit coupled systems
• Berry connection polarizability tensor and third-order Hall effect
• Gyrotropic Hall effect in Berry-curved materials
• Topological Nonlinear Anomalous Nersnt Effect in Strained Transition Metal Dichalcogenides
• Orbital Magneto-Nonlinear Anomalous Hall Effect in Kagome Magnet Fe${}_3$Sn${}_2$
• Magnus Hall Effect
• Intrinsic Nonlinear Planar Hall Effect
• Non-linear Nernst effect in bilayer WTe${}_2$
• Thermoelectric Generation of Orbital Magnetization in Metals
• Intrinsic Hall conductivities induced by the orbital magnetic moment
• Strain-induced nonlinear spin Hall effect in topological Dirac semimetal
• Magnetic ratchet effect in bilayer graphene
• Cyclotron resonance of the magnetic ratchet effect and second harmonic generation in bilayer graphene
• Quantum nonlinear planar Hall effect in bilayer graphene: an orbital effect of a steady in-plane magnetic field
• Current induced by a tilted magnetic field in phosphorene under terahertz laser radiation
• Magnetic ratchet effect in phosphorene