Variational Approach for the Effects of Periodic Modulations on the Spectrum of Massless Dirac Fermion
arXiv:0911.1143 · doi:10.1140/epjb/e2010-00051-4
Abstract
In the variational framework, we study the electronic energy spectrum of massless Dirac fermions of graphene subjected to one-dimensional oscillating magnetic and electrostatic fields centered around a constant uniform static magnetic field. We analyze the influence of the lateral periodic modulations in one direction, created by these oscillating electric and magnetic fields, on Dirac like Landau levels depending on amplitudes and periods of the field modulations. We compare our theoretical results with those found within the framework of non-degenerate perturbation theory. We found that the technique presented here yields energies lower than that obtained by the perturbation calculation, and thus gives more stable solutions for the electronic spectrum of massless Dirac fermion subjected to a magnetic field perpendicular to graphene layer under the influence of additional periodic potentials.
8 pages, 7 figures
References in corpus (14)
- Electric Field Effect in Atomically Thin Carbon Films
- The electronic properties of graphene
- Anisotropic behaviors of massless Dirac fermions in graphene under periodic potential
- New Generation of Massless Dirac Fermions in Graphene under External Periodic Potentials
- Dirac and Klein-Gordon particles in one-dimensional periodic potentials
- Multiple magnetic barriers in graphene
- Congestion phenomena on complex networks
- Dirac electrons in a Kronig-Penney potential: dispersion relation and transmission periodic in the strength of the barriers
- Magnetic Kronig-Penney model for Dirac electrons in single-layer graphene
- Wavevector filtering through single-layer and bilayer graphene with magnetic barrier structures
- Quasi-bound states of Schrodinger and Dirac electrons in magnetic quantum dot
- Quantum transport of Dirac electrons in graphene in the presence of a spatially modulated magnetic field
- Theory of Weiss oscillations in the magnetoplasmon spectrum of Dirac electrons in graphene
- Weiss oscillations in the electronic structure of modulated graphene