Spectrally isomorphic Dirac systems: graphene in electromagnetic field
arXiv:1412.1026 · doi:10.1103/PhysRevD.91.045039
Abstract
We construct the new one-dimensional Dirac Hamiltonians that are spectrally isomorphic (not isospectral) with the known exactly solvable models. Explicit formulas for their spectra and eigenstates are provided. The operators are utilized for description of Dirac fermions in graphene in presence of an inhomogeneous electromagnetic field. We discuss explicit, physically relevant, examples of spectrally isomorphic systems with both non-periodic and periodic electromagnetic barriers. In the latter case, spectrally isomorphic two- and three-gap systems associated with the Ablowitz-Kaup-Newell-Segur hierarchy are considered.
References in corpus (10)
- Periodically rippled graphene: growth and spatially resolved electronic structure
- Unit cell of graphene on Ru(0001): a 25 x 25 supercell with 1250 carbon atoms
- Inhomogeneous chiral condensates
- Multiple magnetic barriers in graphene
- A Twisted Kink Crystal in the Chiral Gross-Neveu model
- Klein tunneling in carbon nanostructures: a free particle dynamics in disguise
- Qualitative analysis of trapped Dirac fermions in graphene
- Twisted kinks, Dirac transparent systems and Darboux transformations
- The confluent supersymmetry algorithm for Dirac equations with pseudoscalar potentials
- Minimal Realizations of Supersymmetry for Matrix Hamiltonians