Conditional electron confinement in graphene via smooth magnetic fields
arXiv:1711.04509 · doi:10.1016/j.physe.2017.09.025
Abstract
In this article we discuss confinement of electrons in graphene via smooth magnetic fields which are finite everywhere on the plane. We shall consider two types of magnetic fields leading to systems which are conditionally exactly solvable and quasi exactly solvable. The bound state energies and wave functions in both cases have been found exactly.
References in corpus (9)
- The electronic properties of graphene
- Magnetic confinement of massless Dirac fermions in graphene
- Multiple magnetic barriers in graphene
- Valley polarized quantum Hall effect and topological insulator phase transitions in silicene
- Massless Dirac fermions in two dimensions: Confinement in nonuniform magnetic fields
- Optimal traps in graphene
- Magnetic quantum dots and rings in two dimensions
- On zero energy states in graphene
- An analysis of the zero energy states in graphene
Cited by in corpus (8)
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- Effects of Fermi velocity engineering in magnetic graphene superlattices
- On the missing magnetic flux and topological effects of a screw dislocation on a charged particle in an inhomogeneous magnetic field
- Generalized harmonic confinement of massless Dirac fermions in (2+ 1) dimensions
- Coherent states in the symmetric gauge for graphene under a constant perpendicular magnetic field
- Modulation of Landau levels and de Haas-van Alphen oscillation in magnetized graphene by uniaxial tensile strain/ stress
- Lorentzian quantum wells in graphene: the role of shape invariance in zero-energy states trapping