Polarons in Degenerate Semiconductors
- 16 September 1966
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 149 (2), 705-715
- https://doi.org/10.1103/physrev.149.705
Abstract
The second-order self-energies of an electron in a degenerate Fermi gas arising from polar coupling to longitudinal optic phonons and from both piezoelectric and deformation-potential coupling to (Debye) acoustic phonons are evaluated exactly and analytically. Numerical calculations of the resulting density of states for optical phonons exhibit logarithmic singularities at the Fermi energy and at . Similar structure due to the electron's interaction with acoustical phonons is exhibited by the proper self-energy but is smoothed out in the density of states by the nonvanishing imaginary part of the self-energy. The singularities at the Fermi surface are removed by the random-phase-approximation screening of the electronphonon interaction due to mobile charge carriers. These results indicate that several proposed explanations for low-bias conductance anomalies in tunnel diodes are inapplicable.
Keywords
This publication has 20 references indexed in Scilit:
- Influence of Zero Sound on the Thermodynamics ofHe3Physical Review Letters, 1965
- Continuum Resonances inHe4(p, p′)He4Physical Review Letters, 1965
- Tunneling in Lead SaltJunctionsPhysical Review Letters, 1965
- Theory of Tunneling Across Semiconductor JunctionsPhysical Review B, 1965
- Theory of transport phenomena in an electron-phonon gasAnnals of Physics, 1964
- Conductance Anomalies in Semiconductor Tunnel DiodesPhysical Review Letters, 1964
- Scattering of Electromagnetic Waves by an Electron-Phonon SystemPhysical Review B, 1963
- Coupled Electron-Phonon SystemPhysical Review B, 1963
- Direct Observation of Polarons and Phonons During Tunneling in Group 3-5 Semiconductor JunctionsPhysical Review Letters, 1960
- New Phenomenon in Narrow GermaniumJunctionsPhysical Review B, 1958