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.
Original language | English |
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Article number | 095203 |
Journal | Physica Scripta |
Volume | 97 |
Issue number | 9 |
DOIs | |
State | Published - 1 Sep 2022 |
Keywords
- Ritus eigenfunction method
- external magnetic field
- fermion propagator
- graphene
- supersymmetric quantum mechanics