Reduction scheme for coupled Dirac systems

0547648 - ÚJF 2022 RIV GB eng J - Journal Article
Castillo-Celeita, M. - Jakubský, Vít
Reduction scheme for coupled Dirac systems.
Journal of Physics A-Mathematical and Theoretical. Roč. 54, č. 45 (2021), č. článku 455301. ISSN 1751-8113. E-ISSN 1751-8121
R&D Projects: GA ČR GA19-07117S
Institutional support: RVO:61389005
Keywords : graphene, bilayer * spin–orbit interaction * exactly solvable models * Dirac materials
OECD category: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impact factor: 2.331, year: 2021
Method of publishing: Limited access
https://doi.org/10.1088/1751-8121/ac2a06

We analyze a class of coupled quantum systems whose dynamics can be understood via two uncoupled, lower-dimensional quantum settings with auxiliary interactions. The general reduction scheme, based on algebraic properties of the potential term, is discussed in detail for two-dimensional Dirac Hamiltonian. We discuss its possible application in description of Dirac fermions in graphene or bilayer graphene in presence of distortion scattering or spin-orbit interaction. We illustrate the general results on the explicit examples where the involved interactions are non-uniform in space and time.
Permanent Link: http://hdl.handle.net/11104/0323841