POLARON IN THE SINGLE-WALLED POLAR NANOTUBE

2006 ◽  
Vol 20 (27) ◽  
pp. 1771-1776 ◽  
Author(s):  
N. M. GUSEINOV ◽  
O. Z. ALEKPEROV ◽  
S. S. GUSEINOVA
Keyword(s):  
Perturbation Theory ◽  
Cylindrical Surface ◽  
Weak Coupling ◽  
Electron Gas ◽  
Energy Shift ◽  
Longitudinal Optical ◽  
Two Dimensional ◽  
Polar Material ◽  
Bulk Phonon ◽  
Polaron Energy

The model of electron gas situated on the two-dimensional continual cylindrical surface is suggested to describe a polaron in the single-walled nanotube made of polar material. The problem on weak-coupling polaron is solved using perturbation theory. Analytical expression for the polaron energy shift of the subband is found in the case of bulk phonon approximation and the case when longitudinal optical (LO) phonons are confined on the cylinder's surface. It is shown that in the second case the polaron effect is negligible.

SOME ASPECTS OF THE ELECTRON-BOSON INTERACTION AND OF THE ELECTRON-ELECTRON INTERACTION VIA BOSONS

2007 ◽  
Vol 21 (01) ◽  
pp. 25-36 ◽  
Author(s):  
ANDREI DOLOCAN ◽  
VOICU OCTAVIAN DOLOCAN ◽  
VOICU DOLOCAN
Keyword(s):  
Emission Rate ◽  
Electron Gas ◽  
Longitudinal Optical ◽  
Standard Theory ◽  
Electron Interaction ◽  
Optical Phonons ◽  
Polaron Energy ◽  
Electron Photon ◽  
Good Agreement ◽  
Degenerate Electron Gas

By using a Hamiltonian of interaction between fermions via bosons1 we derive some properties of the electro-phonon and electron-photon interaction and also of the electron-electron interaction. We have obtained that in a degenerate electron gas there is an attraction between two electrons via acoustical phonons. Also, in certain conditions, there may be an attraction between two electrons via longitudinal optical phonons. Although our expressions for the polaron energy in both cases of the acoustical and longitudinal optical phonons are different from that obtained in the standard theory, their magnitudes are the same with these and they are in good agreement with experimental data. The total emission rate of an electron against a phonon system at absolute zero is directly proportional to the electron momentum. Also, an attraction between two electrons may appear via photons.

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