Optical Phonon-Assisted Transitions in Deep Acceptor Impurities in Silicon

1971 ◽  
Vol 49 (3) ◽  
pp. 374-380 ◽  
Author(s):  
K. L. Bhatia

The coupling between the lattice and the impurity bound carrier for deep monovalent acceptors in silicon, such as gallium and indium, is found to be stronger than for the shallower boron impurity. This suggests the possible existence of optical phonon-assisted transitions associated with these deep impurities. Such transitions are observed in the absorption spectrum of indium-doped silicon. The phonon-assisted transitions are superimposed on the photoionization continuum transitions of the indium acceptors. Interference effects between the phonon-assisted transition and the transition to the continuum states modify the position and line shape of the transitions. Using the phonon dispersion curves for silicon, interpretation of the results is presented. An estimate of the strength of the electron–phonon coupling in indium-doped silicon is obtained.

2021 ◽  
Vol 12 ◽  
pp. 1209-1225
Author(s):  
Patryk Florków ◽  
Stanisław Lipiński

We calculate the conductance through strongly correlated T-shaped molecular or quantum dot systems under the influence of phonons. The system is modelled by the extended Anderson–Holstein Hamiltonian. The finite-U mean-field slave boson approach is used to study many-body effects. Phonons influence both interference and correlations. Depending on the dot unperturbed energy and the strength of electron–phonon interaction, the system is occupied by a different number of electrons that effectively interact with each other repulsively or attractively. This leads, together with the interference effects, to different spin or charge Fano–Kondo effects.


2004 ◽  
Vol 858 ◽  
Author(s):  
S. Piscanec ◽  
M. Lazzeri ◽  
A. C. Ferrari ◽  
F. Mauri ◽  
J. Robertson

ABSTRACTAtomic vibrations are partially screened by electrons. In a metal this screening can change rapidly for vibrations associated to certain points of the Brillouin zone, entirely determined by the shape of the Fermi surface. The consequent anomalous behaviour of the phonon dispersion is called Kohn anomaly. Graphite is a semimetal. Nanotubes can be metals or semiconductors. We demonstrate that two Kohn anomalies are present in the phonon dispersion of graphite and that their slope is proportional to the square of the electron-phonon coupling. Metallic nanotubes have much stronger anomalies than graphite, due to their reduced dimensionality. Semiconducting nanotubes have no Kohn anomalies.


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