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Photonics 2016, 3(1), 5; doi:10.3390/photonics3010005

Modeling of the Interminiband Absorption Coefficient in InGaN Quantum Dot Superlattices

Photonics Research Group, Dipartimento di IngegneriaElettrica e dell’Informazione, Politecnico di Bari, via E. Orabona n. 4, Bari 70125, Italy
These authors contributed equally to this work.
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Received: 20 November 2015 / Revised: 4 January 2016 / Accepted: 6 January 2016 / Published: 13 January 2016
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Abstract

In this paper, a model to estimate minibands and theinterminiband absorption coefficient for a wurtzite (WZ) indium gallium nitride (InGaN) self-assembled quantum dot superlattice (QDSL) is developed. It considers a simplified cuboid shape for quantum dots (QDs). The semi-analytical investigation starts from evaluation through the three-dimensional (3D) finite element method (FEM) simulations of crystal mechanical deformation derived from heterostructure lattice mismatch under spontaneous and piezoelectric polarization effects. From these results, mean values in QDs and barrier regions of charge carriers’ electric potentials and effective masses for the conduction band (CB) and three valence sub-bands for each direction are evaluated. For the minibands’ investigation, the single-particle time-independent Schrödinger equation in effective mass approximation is decoupled in three directions and resolved using the one-dimensional (1D) Kronig–Penney model. The built-in electric field is also considered along the polar axis direction, obtaining Wannier–Stark ladders. Then, theinterminiband absorption coefficient in thermal equilibrium for transverse electric (TE) and magnetic (TM) incident light polarization is calculated using Fermi’s golden rule implementation based on a numerical integration into the first Brillouin zone. For more detailed results, an absorption coefficient component related to superlattice free excitons is also introduced. Finally, some simulation results, observations and comments are given. View Full-Text
Keywords: optical properties; nanostructures; nanophotonics; absorption coefficient; quantum dot superlattice; indium gallium nitride optical properties; nanostructures; nanophotonics; absorption coefficient; quantum dot superlattice; indium gallium nitride
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Giannoccaro, G.; De Leonardis, F.; Passaro, V.M.N. Modeling of the Interminiband Absorption Coefficient in InGaN Quantum Dot Superlattices. Photonics 2016, 3, 5.

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