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The interference pattern of electron waves passing around opposite sides of the apex of a carbon nanocone. Since geodesics (i.e. moving phase fronts) emanating from one point can intersect on the opposite side of the cone, one obtains interference without diffraction.

The role of electron phase in carbon nanocones is truly fascinating. As a low-energy electronic state circuits the apex of the cone, the phase of the wavefunction experiences a mismatch, and different Fermi points become intertwined. Within a low-energy continuum theory, these phase effects can be subsumed into a factitious multi-component magnetic flux through the apex of the cone. These fluxes then have profound effects on electron interference, Landau levels, and density of states near the Fermi energy.

Publications

2000 · 2004 · All
P. E. Lammert and V. H. Crespi, "Graphene cones: classification by fictitious flux and electronic properties," Phys. Rev. B 69, 035406 (2004) Abstract/Comments
P. E. Lammert and V. H. Crespi, "Topological Phases in Graphitic Cones," Phys. Rev. Lett. 85, 5190 – 5193 (2000) Abstract/Comments
Disclaimer
P. E. Lammert : Electron Phase in Carbon Nanocones