Related papers: Reduction scheme for coupled Dirac systems

Reduction scheme for coupled Dirac systems

URL: http://arxiv.org/abs/2104.10582v3
Date: Tue, 12 Oct 2021 13:11:24 GMT
Title: Reduction scheme for coupled Dirac systems
Authors: Miguel Castillo-Celeita, V\'it Jakubsk\'y
Abstract summary: We analyze a class of coupled quantum systems whose dynamics can be understood via two uncoupled, lower-dimensional quantum settings with auxiliary interactions. We discuss its possible application in description of Dirac fermions in graphene or bilayer graphene in presence of distortion scattering or spin-orbit interaction.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: 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.

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