Electron and phonon Green functions in a one-dimensional model

1969 ◽  
Vol 47 (22) ◽  
pp. 2475-2486 ◽  
Author(s):  
Dennis Dunn
Keyword(s):  
Dielectric Properties ◽  
Green Functions ◽  
External Fields ◽  
Dimensional Model ◽  
Phonon Interaction ◽  
Fermion Model ◽  
One Dimensional ◽  
Electron Phonon Interaction ◽  
Luttinger Model ◽  
General Response

We consider a one-dimensional fermion model which is similar to the Luttinger model and which also includes an electron-phonon interaction. We show that in this model the electron, phonon, and plasmon Green functions can all be determined exactly.We examine the dielectric properties of the system and also the more general response of the system to arbitrary external fields and we show that the response is strictly linear in these fields.

Velocity Distribution of Electrons Escaping from a Potential Well

2000 ◽  
Vol 651 ◽  
Author(s):  
James P. Lavine
Keyword(s):  
Velocity Distribution ◽  
Classical Model ◽  
Thermionic Emission ◽  
Electron Velocity ◽  
Phonon Interaction ◽  
Electron Velocity Distribution ◽  
One Dimensional ◽  
Electron Phonon Interaction ◽  
Electron Escape ◽  
Effective Temperatures

AbstractElectron escape over a one-dimensional potential barrier is treated with a Monte Carlo method that incorporates simple models for the electron-phonon interaction. The consequences of these models are considered here through the calculation of the escaping electron velocity distribution and the electron energy distribution before escape. Effective temperatures are derived from both distributions. The numerical results are compared with those from the classical model of thermionic emission.

Screening of the electron-phonon interaction in quasi-one-dimensional semiconductor structures

1993 ◽  
Vol 48 (16) ◽  
pp. 12016-12022 ◽  
Author(s):  
G. Q. Hai ◽  
F. M. Peeters ◽  
J. T. Devreese ◽  
L. Wendler
Keyword(s):  
Phonon Interaction ◽  
One Dimensional ◽  
Electron Phonon Interaction ◽  
Semiconductor Structures

Electron–phonon interaction in three-, two- and one-dimensional ternary mixed crystals

2016 ◽  
Vol 30 (15) ◽  
pp. 1650182
Author(s):  
Junhua Hou ◽  
Yunpeng Fan
Keyword(s):  
Cell Volume ◽  
Effective Mass ◽  
Unit Cell Volume ◽  
Three Dimensional ◽  
Unit Cell ◽  
Mixed Crystals ◽  
Phonon Interaction ◽  
One Dimensional ◽  
Electron Phonon Interaction ◽  
Self Trapping

The electron–phonon (e–p) interaction in three-dimensional (3D), two-dimensional (2D) and one-dimensional (1D) ternary mixed crystals is studied. The e–p interaction Hamiltonians including the unit cell volume variation in ternary mixed crystals are obtained by using the modified random-element-isodisplacement model and Born–Huang method. The polaronic self-trapping energy and renormalized effective mass of GaAs[Formula: see text]Sb[Formula: see text], GaP[Formula: see text]As[Formula: see text] and GaP[Formula: see text]Sb[Formula: see text] compounds are numerically calculated. It is confirmed theoretically that the nonlinear variation of the self-trapping energy and effective mass with the composition is essential and the unit cell volume effects cannot be neglected except the weak e–p coupling. The dimensional effect cannot also be ignored.

scholarly journals Effect of electron-phonon interaction on the formation of one-dimensional electronic states in coupled Cl vacancies

2015 ◽  
Vol 91 (23) ◽  
Author(s):  
Bruno Schuler ◽  
Mats Persson ◽  
Sami Paavilainen ◽  
Niko Pavliček ◽  
Leo Gross ◽  
...  
Keyword(s):  
Electronic States ◽  
Phonon Interaction ◽  
One Dimensional ◽  
Electron Phonon Interaction
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