Ritus functions for graphene-like systems with magnetic fields generated by first-order intertwining operators

Abstract

In this work, we construct the exact propagator for Dirac fermions in graphene-like systems immersed in external static magnetic fields with non-trivial spatial dependence. Such field profiles are generated within a first-order supersymmetric framework departing from much simpler (seed) magnetic field examples. The propagator is spanned on the basis of the Ritus eigenfunctions, corresponding to the Dirac fermion asymptotic states in the non-trivial magnetic field background which nevertheless admits a simple diagonal form in momentum space. This strategy enlarges the number of magnetic field profiles in which the fermion propagator can be expressed in a closed-form. Electric charge and current densities are found directly from the corresponding propagator and compared against similar findings derived from other methods.

19 pages, 10 figures

References in corpus (5)

• Electric Field Effect in Atomically Thin Carbon Films
• Room-Temperature Quantum Hall Effect in Graphene
• Spectrally isomorphic Dirac systems: graphene in electromagnetic field
• Isospectral Potentials from Modified Factorization
• Magneto-optical conductivity of anisotropic two-dimensional Dirac-Weyl materials

Cited by in corpus (4)

• Bilayer graphene in periodic and quasiperiodic magnetic superlattices
• Strongly interacting matter in extreme magnetic fields
• Reflectionless pseudospin-1 Dirac systems via Darboux transformation and flat band solutions
• Supersymmetric Quantum Potentials Analogs of Classical Electrostatic Fields