TY - JOUR
T1 - Optical-phonon modes and electron-phonon interaction in arbitrary semiconductor planar microcavities
AU - Shi, Jun-Jie
AU - Sanders, B. C.
AU - Pan, Shao-Hua
AU - Goldys, E. M.
PY - 1999/12/15
Y1 - 1999/12/15
N2 - Within the framework of the standard dielectric continuum model, we solve the optical-phonon modes in an arbitrary semiconductor multilayer heterostructure using the transfer-matrix method and derive the dispersion relation for the interface modes. The explicit form of the polarization field and the electron-phonon interaction Fröhlich-like Hamiltonian is obtained for the first time. The analytical formulas are universal, which can be applied to investigations of both the optical-phonon modes and the electron-phonon interaction operator in semiconductor planar microcavities (MC's), superlattices (SL's), and quantum wells (QW's). Our theory allows to obtain all important earlier results and predicts a phenomena. We find that, for a QW planar MC, the electron interaction with the QW modes is most important for larger wave vector k among all of the interface phonon modes. It can be approximately replaced by the electron-phonon interaction Hamiltonian in a single QW with the same width as the QW in the MC if k≥2×105 cm-1. The relative importance of the AlAs- and GaAs-type optical phonons for the GaAs/AlAs SLs is also discussed.
AB - Within the framework of the standard dielectric continuum model, we solve the optical-phonon modes in an arbitrary semiconductor multilayer heterostructure using the transfer-matrix method and derive the dispersion relation for the interface modes. The explicit form of the polarization field and the electron-phonon interaction Fröhlich-like Hamiltonian is obtained for the first time. The analytical formulas are universal, which can be applied to investigations of both the optical-phonon modes and the electron-phonon interaction operator in semiconductor planar microcavities (MC's), superlattices (SL's), and quantum wells (QW's). Our theory allows to obtain all important earlier results and predicts a phenomena. We find that, for a QW planar MC, the electron interaction with the QW modes is most important for larger wave vector k among all of the interface phonon modes. It can be approximately replaced by the electron-phonon interaction Hamiltonian in a single QW with the same width as the QW in the MC if k≥2×105 cm-1. The relative importance of the AlAs- and GaAs-type optical phonons for the GaAs/AlAs SLs is also discussed.
UR - http://www.scopus.com/inward/record.url?scp=0005301695&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.60.16031
DO - 10.1103/PhysRevB.60.16031
M3 - Article
AN - SCOPUS:0005301695
SN - 0163-1829
VL - 60
SP - 16031
EP - 16038
JO - Physical Review B: Condensed Matter and Materials Physics
JF - Physical Review B: Condensed Matter and Materials Physics
IS - 23
ER -