Physical review. B, Solid state · 1977 · 79 citations · 19 references
Natural SciencesMaterials SciencePhysicsCondensed Matter PhysicsSemiconductor MaterialsSolid State PhysicsElectron-phonon InteractionsElectronic Band StructureOptical Properties Of MaterialsOptical Properties Of SemiconductorsOptical Properties Of SolidsSemiconductor PhysicsBreit-wigner Resonance TheoryExcited Electronic StatesPhonon-phonon InteractionsPhononsSilicon Optical PropertiesValence BandValence Band StructureZone-center Phonons
In silicon, the zone‑center phonon of boron at 519 cm⁻¹ and analogous phonon sidebands for boron, aluminum, and gallium lie within the excitation region to the valence‑band continuum, creating antiresonances. Fano’s theory was employed to analyze the resonant interactions. Optical‑absorption experiments reveal Breit‑Wigner‑Fano resonant interactions between acceptor continuum states and localized optical phonons, with clear antiresonances observed at 519 cm⁻¹ for boron and at 764, 962, and 989 cm⁻¹ for boron, aluminum, and gallium, respectively.
We have performed and analyzed optical-absorption experiments which provide clear evidence of Breit-Wigner-Fano resonant interactions between the electronic continuum states of acceptors and localized excitations involving optical phonons in silicon. For boron, the 519-${\mathrm{cm}}^{\ensuremath{-}1}$ zone-center phonon lies within the region of excitation to the continuum of the ${p}_{\frac{3}{2}}$ valence band, leading to an antiresonance at that wave number. In addition, antiresonances are observed in silicon doped with boron at 764 ${\mathrm{cm}}^{\ensuremath{-}1}$, aluminum at 962 ${\mathrm{cm}}^{\ensuremath{-}1}$, and gallium at 989 ${\mathrm{cm}}^{\ensuremath{-}1}$. These numbers correspond to the one-phonon sidebands of the bound-to-bound $1{S}_{\frac{3}{2}}\ensuremath{\rightarrow}2{P}_{\frac{3}{2}}$ impurity excitations, which lie within the region of excitation to the continuum of the ${p}_{\frac{1}{2}}$ valence band. Fano's theory is used to analyze these results.
19
Effects of Configuration Interaction on Intensities and Phase Shifts
U. Fano · Physical Review · 1961 · 11.1K citations
G. Breit, E. P. Wigner · Physical Review · 1936 · 1.1K citations
Multiphonon Raman Spectrum of Silicon
P. A. Temple, C. E. Hathaway · Physical review. B, Solid state · 1973 · 682 citations
Energy-Band Structure of Germanium and Silicon: The k·p Method
M. Cardona, Fred H. Pollak · Physical Review · 1966 · 644 citations