Localization of massless Dirac particles via spatial modulations of the Fermi velocity
arXiv:1706.02607 · doi:10.1088/1361-648X/aa7884
Abstract
The electrons found in Dirac materials are notorious for being difficult to manipulate due to the Klein phenomenon and absence of backscattering. Here we investigate how spatial modulations of the Fermi velocity in two-dimensional Dirac materials can give rise to localization effects, with either full (zero-dimensional) confinement or partial (one-dimensional) confinement possible depending on the geometry of the velocity modulation. We present several exactly solvable models illustrating the nature of the bound states which arise, revealing how the gradient of the Fermi velocity is crucial for determining fundamental properties of the bound states such as the zero-point energy. We discuss the implications for guiding electronic waves in few-mode waveguides formed by Fermi velocity modulation.
9 pages, 6 figures
References in corpus (23)
- Chiral tunneling and the Klein paradox in graphene
- Spin qubits in graphene quantum dots
- Dirac materials
- Anisotropic behaviors of massless Dirac fermions in graphene under periodic potential
- Magnetic confinement of massless Dirac fermions in graphene
- Fermi velocity engineering in graphene by substrate modification
- Simulation and detection of Dirac fermions with cold atoms in an optical lattice
- Quantum Goos-Hanchen effect in graphene
- Tuning the electronic structure of graphene by ion irradiation
- Charge inhomogeneities due to smooth ripples in graphene sheets
- Many-body interactions in quasi-freestanding graphene
- Creating and Probing Electron Whispering Gallery Modes in Graphene
- Engineering artificial graphene in a two-dimensional electron gas
- Electrostatic confinement of electrons in an integrable graphene quantum dot
- Electrostatically confined monolayer graphene quantum dots with orbital and valley splittings
- Topological collective plasmons in bipartite chains of metallic nanoparticles
- Electron density distribution and screening in rippled graphene sheets
- Evidence for Superlattice Dirac Points and Space-dependent Fermi Velocity in Corrugated Graphene Monolayer
- One-dimensional Coulomb problem in Dirac materials
- Massless Dirac fermions in two dimensions: Confinement in nonuniform magnetic fields
- Controlling the energy gap of graphene by Fermi velocity engineering
- Magnetic quantum dots and rings in two dimensions
- Indirect band gap in graphene from modulation of the Fermi velocity