Graphene as a quantum surface with curvature-strain preserving dynamics


DOI: 10.1134/S1061920811010079

Cite this article as:
Karasev, M.V. Russ. J. Math. Phys. (2011) 18: 64. doi:10.1134/S1061920811010079


We discuss how the curvature and the strain density of an atomic lattice generate the quantization of graphene sheets as well as the dynamics of geometric quasiparticles propagating along the constant curvature/strain levels. The internal kinetic momentum of a Riemannian oriented surface (a vector field preserving the Gaussian curvature and the area) is determined.

Copyright information

© Pleiades Publishing, Ltd. 2011

Authors and Affiliations

  1. 1.Department of Applied MathematicsMoscow Institute of Electronics and MathematicsMoscowRussia

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