Graphene as a quantum surface with curvature-strain preserving dynamics

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.

13p, minor corrections

References in corpus (12)

• The electronic properties of graphene
• The structure of suspended graphene sheets
• Strong suppression of weak (anti)localization in graphene
• Intervalley scattering, long-range disorder, and effective time reversal symmetry breaking in graphene
• Midgap states and charge inhomogeneities in corrugated graphene
• Strain-induced pseudo-magnetic field for novel graphene electronics
• Graphene as an electronic membrane
• Graphene via large N I: Renormalization
• Quantum-Hall activation gaps in graphene
• Electronic properties of curved graphene sheets
• Dislocations and torsion in graphene and related systems
• Strain-induced pseudo-magnetic fields and charging effects on CVD-grown graphene