TY - JOUR

T1 - Propagating optical-phonon modes and their electron-phonon interactions in wurtzite GaN/AlxGa1-xN quantum wells

AU - Shi, Jun Jie

AU - Chu, Xing Li

AU - Goldys, E. M.

PY - 2004/9

Y1 - 2004/9

N2 - The equation of motion for the p-polarization field in an arbitrary wurtzite multilayer heterostructure is solved for the propagating optical-phonon (POP) modes in the framework of the dielectric-continuum model and Loudon's uniaxial crystal model. The polarization eigenvector, the dispersion relation, and the electron-propagating-phonon (EPP) interaction Fröhlich Hamiltonian are derived. The analytical formulas can be directly applied to single heterojunctions, single and multiple quantum wells (QW's), and superlattices. The dispersion relations of the POP modes and the EPP coupling functions are investigated for a given GaN/Al0.15Ga0.85N single QW with full account of the strains of QW structures and the anisotropy effects of wurtzite crystals. We find that there are infinite POP branches, which can be denoted by a quantum number n(n=1,2,...), with definite symmetry with respect to the center of symmetry of the QW structure. The dispersion of the POP modes with smaller n is more obvious than for larger n. Moreover, the modes with smaller n are much more important for the EPP interactions than the modes with larger n. In most cases, it is enough to consider the modes with n=1,2,...,10 for the EPP interactions in a single QW. The long-wavelength POP modes are much more important for the EPP interactions. Furthermore, the strain effects of the QW structures have a strong influence on the dispersion of the POP modes. The strength of the EPP interactions is markedly increased due to the strains of the QW structures.

AB - The equation of motion for the p-polarization field in an arbitrary wurtzite multilayer heterostructure is solved for the propagating optical-phonon (POP) modes in the framework of the dielectric-continuum model and Loudon's uniaxial crystal model. The polarization eigenvector, the dispersion relation, and the electron-propagating-phonon (EPP) interaction Fröhlich Hamiltonian are derived. The analytical formulas can be directly applied to single heterojunctions, single and multiple quantum wells (QW's), and superlattices. The dispersion relations of the POP modes and the EPP coupling functions are investigated for a given GaN/Al0.15Ga0.85N single QW with full account of the strains of QW structures and the anisotropy effects of wurtzite crystals. We find that there are infinite POP branches, which can be denoted by a quantum number n(n=1,2,...), with definite symmetry with respect to the center of symmetry of the QW structure. The dispersion of the POP modes with smaller n is more obvious than for larger n. Moreover, the modes with smaller n are much more important for the EPP interactions than the modes with larger n. In most cases, it is enough to consider the modes with n=1,2,...,10 for the EPP interactions in a single QW. The long-wavelength POP modes are much more important for the EPP interactions. Furthermore, the strain effects of the QW structures have a strong influence on the dispersion of the POP modes. The strength of the EPP interactions is markedly increased due to the strains of the QW structures.

UR - http://www.scopus.com/inward/record.url?scp=19744381762&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.70.115318

DO - 10.1103/PhysRevB.70.115318

M3 - Article

AN - SCOPUS:19744381762

VL - 70

SP - 115318-1-115318-8

JO - Physical Review B: covering condensed matter and materials physics

JF - Physical Review B: covering condensed matter and materials physics

SN - 2469-9950

IS - 11

M1 - 115318

ER -