Bilayer graphene in magnetic fields generated by supersymmetry
David J. Fernández C., Juan D. García-Muñoz, Daniel O-Campa
Abstract
Abstract The effective Hamiltonian for electrons in bilayer graphene with applied magnetic fields is solved through second-order supersymmetric quantum mechanics. This method transforms the corresponding eigenvalue problem into two intertwined one-dimensional stationary Schrödinger equations whose potentials are determined by choosing at most two seed solutions. In this paper new kinds of magnetic fields associated to non-shape-invariant SUSY partner potentials are generated. Analytic solutions for these magnetic fields are found, the associated spectrum is analyzed, and the probability and current densities are explored.
Topics & Concepts
SupersymmetryEigenvalues and eigenvectorsMagnetic fieldHamiltonian (control theory)Bilayer grapheneGraphenePhysicsElectronInvariant (physics)Supersymmetric quantum mechanicsQuantum mechanicsQuantumCondensed matter physicsMathematicsQuantum dynamicsMathematical optimizationQuantum Mechanics and Non-Hermitian PhysicsGraphene research and applicationsNoncommutative and Quantum Gravity Theories