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Graphene as a quantum surface with curvature-strain preserving dynamics
Mesoscale and Nanoscale Physics · Submitted 10 Nov 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We discuss how the curvature and the strain density of the atomic lattice generate the quantization of graphene sheets as well as the dynamics of geometric quasiparticles propagating along the constant curvature/strain levels.
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The abstract, sentence by sentence
We discuss how the curvature and the strain density of the 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 Riemannian oriented surface (a vector field preserving the Gaussian curvature and the area) is determined.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We discuss how the curvature and the strain density of the atomic lattice generate the quantization of graphene sheets as well as the dynamics of geometric quasiparticles propagating along the constant curvature/strain levels. | contribution 0.97 | 0.57 | 0.52 | asserted 0.91 |
| s1 | The internal kinetic momentum of Riemannian oriented surface (a vector field preserving the Gaussian curvature and the area) is determined. | result 0.69 | 0.80 | 0.19 | asserted 1.00 |
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Original abstract
We discuss how the curvature and the strain density of the 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 Riemannian oriented surface (a vector field preserving the Gaussian curvature and the area) is determined.
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Cites as background 1 paper
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The simplest version of the quantum Hamiltonian is the following (for details and generalizations, see, e.g., [ref] , [ref] , [ref] ):
The Electronic Spectrum of Fullerenes from the Dirac Equation · Graphene algebra · 0.90
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