Exact wave functions for an electron on a graphene triangular quantum dot
arXiv:0912.4160 · doi:10.1103/PhysRevB.81.155401
Abstract
We generalize the known solution of the Schrödinger equation, describing a particle confined to a triangular area, for a triangular graphene quantum dot with armchair-type boundaries. The quantization conditions, wave functions, and the eigenenergies are determined analytically. As an application, we calculate the corrections to the quantum dot's energy levels due to distortions of the carbon-carbon bonds at the edges of the quantum dot.
14 pages, 11 eps figures