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

A. V. Rozhkov, Franco Nori

Research output: Contribution to journalArticlepeer-review

44 Citations (Scopus)

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.

Original languageEnglish
Article number155401
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume81
Issue number15
DOIs
Publication statusPublished - 1 Apr 2010
Externally publishedYes

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