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Center for Nonlinear Studies |
The interplay between nonlinearity and the band structure of pristine honeycomb lattices is systematically explored. For that purpose, we develop a theory of collective excitations valid for the first Brillouin zone of this lattice. Closed-form expressions of two-dimensional excitations are derived for Bloch wavenumbers beyond the high-symmetry points of the Band structure. We show that the unbounded nature of 2D nonlinear excitations in honeycomb systems is a signature of the strong influence of the Dirac cones in other parts of the band structure.
Host: Avadh Saxena