Exact wave functions for an electron on a graphene triangular quantum dot

Details Exact wave functions for an electron on a graphene triangular quantum dot Exact wave functions for an electron on a graphene triangular quantum dot

2009-12-21

arxiv.org/abs/0912.4160v1

Phys. Rev. B 81, 155401 (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

14 pages, 11 eps figures

Scientific paper

10.1103/PhysRevB.81.155401

We generalize the known solution of the Schr\"odinger 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.

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