2D Weyl Materials in the Presence of Constant Magnetic Fields

Abstract

In this work we investigate the effect of a constant external, or artificial, magnetic field on the nonlinear response of 2D Weyl materials. We calculate the Landau Levels for tilted cones in 2D Weyl materials by treating the tilting in a perturbative manner, and employ perturbation theory to calculate the tilting-induced correction to the magnetic field induced Landau spectrum. We then calculate the induced current as a function of the tilting coefficients and extract the correspondent nonlinear signal. Then, we analyze how changing tilting parameter affects nonlinear signal. Our findings show the possibility of achieving a significant tunability of the nonlinear response, by suitably engineering the orientation and degree of tilt of Dirac cones in 2D Weyl materials.

References in corpus (25)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Type-II Weyl Semimetals
• Gauge fields in graphene
• Electronic Properties of Graphene in a Strong Magnetic Field
• Lorentz-violating type-II Dirac fermions in transition metal dichalcogenide PtTe${}_2$
• Tilted anisotropic Dirac cones in quinoid-type graphene and alpha-(BEDT-TTF)_2I_3
• Optical and magneto-optical far-infrared properties of bilayer graphene
• Berry Curvature Enhanced Nonlinear Photogalvanic Response of Type-II Weyl Cone
• Experimental Realization of Type-II Dirac Fermions in PdTe${}_2$ Superconductor
• Structured Weyl Points in Spin-Orbit Coupled Fermionic Superfluids
• TaIrTe4 a ternary Type-II Weyl semi-metal
• Magnetic breakdown and Klein tunneling in a type-II Weyl semimetal
• Robust Type-II Weyl Semimetal Phase in Transition Metal Diphosphides XP${}_2$ (X = Mo, W)
• Magnetic-field-induced relativistic properties in type-I and type-II Weyl semimetals
• Two-dimensional Weyl Half Semimetal and Tunable Quantum Anomalous Hall Effect in Monolayer PtCl${}_3$
• First-Principles Study of Electronic Structure in $\alpha$-(BEDT-TTF)${}_2$I${}_3$ at Ambient Pressure and with Uniaxial Strain
• Dirac-Weyl fermions with arbitrary spin in two-dimensional optical superlattices
• Ferromagnetic hybrid nodal loop and switchable type-I and type-II Weyl fermions in two-dimension
• Coulomb interaction effect in tilted Weyl fermion in two dimensions
• Electric-field-induced lifting of the valley degeneracy in alpha-(BEDT-TTF)_2I_3 Dirac-like Landau levels
• Two-dimensional type-II Dirac fermions in a LaAlO3/LaNiO3/LaAlO3 quantum well
• Lorentz-boost-driven magneto-optics in a Dirac nodal-line semimetal
• Nonlinear optical response of Type-II Weyl fermions in two dimensions

Cited by in corpus (1)

• Magnetic field induces giant nonlinear optical response in Weyl semimetals