A symmetry based method for the efficient calculation of single-particle states in hexagonally symmetric GaN/AlN quantum dots within the framework of a k · p model is presented. The envelope functions are expanded into a plane wave basis on a hexagonal lattice and the group projector method is used to adapt the basis to exploit the symmetry, resulting in block diagonalization of the corresponding Hamiltonian matrix into six matrices and classification of the states by the quantum number of total quasi-angular momentum. The method is applied to the calculation of the electron and hole energy levels in a quantum dot superlattice and the intraband optical absorption matrix elements.
|Number of pages||4|
|Journal||Physica Status Solidi (C) Current Topics in Solid State Physics|
|Early online date||22 Nov 2006|
|Publication status||Published - 1 Dec 2006|
|Event||4th International Conference on Semiconductor Quantum Dots - Chamonix-Mont Blanc, France|
Duration: 1 May 2006 → 5 May 2006
Conference number: 4