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- Title
Averaging and Trajectories of a Hamiltonian System Appearing in Graphene Placed in a Strong Magnetic Field and a Periodic Potential.
- Authors
Anikin, A.; Brüning, J.; Dobrokhotov, S.
- Abstract
We consider a 2-dimensional Hamiltonian system describing classical electron motion in a graphene placed in a large constant magnetic field and an electric field with a periodic potential. Using the Maupertuis-Jacobi correspondence and an assumption that the magnetic field is large, we perform averaging and reduce the original system to a 1-dimensional Hamiltonian system on the torus. This allows us to describe the trajectories of both systems and classify them by means of Reeb graphs.
- Subjects
HAMILTONIAN systems; GRAPHENE; MAGNETIC fields; ELECTRIC fields; GRAPH theory
- Publication
Journal of Mathematical Sciences, 2017, Vol 223, Issue 6, p656
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-017-3375-7