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arXiv · 2104.10582

Reduction scheme for coupled Dirac systems

Miguel Castillo-Celeita·Vít Jakubský
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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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Miguel Castillo-Celeita, Vít Jakubský. 2021-04-21. Reduction scheme for coupled Dirac systems. https://doi.org/10.1088/1751-8121%2Fac2a06

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