Effective Medium Model for Graphene Superlattices with Electrostatic and Magnetic Vector Potentials
arXiv:2301.02480 · doi:10.1103/PhysRevB.107.085119
Abstract
In this article we develop an effective medium model to characterize the electron wave propagation in graphene based nanostructures with an electrostatic and magnetic vector potentials imposed on their surface. We use a numerical algorithm to determine the effective medium parameters of the heterostructure and calculate the electronic band structure of the system. We apply our formalism to analyze superlattices with solely a magnetic potential and reveal that the response of the structure remains reciprocal and is characterized by a decrease in charge carrier's velocity. We also study the response of superlattices with both potentials superimposed on graphene and show that the response of the system becomes nonreciprocal with a dispersion characterized by a tilted Dirac cone. We demonstrate that it is possible to alternate between a type-I, type-II or type-III Dirac cones by properly tuning the amplitude of the potentials.
30 pages, 6 figures
References in corpus (19)
- Electric Field Effect in Atomically Thin Carbon Films
- The electronic properties of graphene
- Chiral tunneling and the Klein paradox in graphene
- Substrate-induced band gap opening in epitaxial graphene
- Emergence of Superlattice Dirac Points in Graphene on Hexagonal Boron Nitride
- Anisotropic behaviors of massless Dirac fermions in graphene under periodic potential
- New Generation of Massless Dirac Fermions in Graphene under External Periodic Potentials
- Tilted anisotropic Dirac cones in quinoid-type graphene and alpha-(BEDT-TTF)_2I_3
- Gap opening in graphene by shear strain
- Photocurrents in Weyl semimetals
- Electron Beam Supercollimation in Graphene Superlattices
- Multiple magnetic barriers in graphene
- Theory of huge tunneling magnetoresistance in graphene
- Magnetoplasmons in layered graphene structures
- Transport in superlattices on single layer graphene
- Effect of the type I to type II Weyl semimetal topological transition on superconductivity
- Collective properties of magnetobiexcitons in quantum wells' and graphene superlattices
- Effects of Fermi velocity engineering in magnetic graphene superlattices
- Zero and Finite Energy Dirac Points in the Energy Band Structure of Magnetic Bilayer Graphene Superlattices