Electron in bilayer graphene with magnetic fields leading to shape invariant potentials
David J. Fernández C., Juan D. García-Muñoz, Daniel O-Campa
Abstract
Abstract The quantum behavior of electrons in bilayer graphene with applied magnetic fields is addressed. By using second-order supersymmetric quantum mechanics the problem is transformed into two intertwined one dimensional stationary Schrödinger equations whose potentials are required to be shape invariant. Analytical solutions for the energy bound states are obtained for several magnetic fields. The associated spectrum is analyzed, and the probability and current densities are determined.
Topics & Concepts
Bilayer grapheneElectronMagnetic fieldGrapheneInvariant (physics)PhysicsCondensed matter physicsBilayerQuantum mechanicsQuantumBound stateEnergy spectrumChemistryMembraneBiochemistryGraphene research and applicationsQuantum Mechanics and Non-Hermitian PhysicsQuantum and electron transport phenomena