scholarly journals Electron pairing and Coulomb repulsion in one-dimensional anharmonic lattices

2012 ◽  
Vol 85 (24) ◽  
Author(s):  
L. Brizhik ◽  
A. P. Chetverikov ◽  
W. Ebeling ◽  
G. Röpke ◽  
M. G. Velarde
Keyword(s):  
Coulomb Repulsion ◽  
Electron Pairing ◽  
One Dimensional

scholarly journals Unscreened Coulomb repulsion in the one-dimensional electron gas

1999 ◽  
Vol 60 (23) ◽  
pp. 15654-15659 ◽  
Author(s):  
G. Fano ◽  
F. Ortolani ◽  
A. Parola ◽  
L. Ziosi
Keyword(s):  
Electron Gas ◽  
Coulomb Repulsion ◽  
Dimensional Electron ◽  
One Dimensional ◽  
Dimensional Electron Gas ◽  
The One

scholarly journals Contact Electrification by Quantum-Mechanical Tunneling

Research ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-11 ◽  
Author(s):  
Morten Willatzen ◽  
Zhong Lin Wang
Keyword(s):  
Potential Versus ◽  
Coulomb Repulsion ◽  
Quantum Mechanical ◽  
Quantum Mechanical Tunneling ◽  
One Dimensional ◽  
Contact Electrification ◽  
Order Of Magnitude ◽  
Left And Right ◽  
Tunneling Dynamics ◽  
Vacuum Gap

A simple model of charge transfer by loss-less quantum-mechanical tunneling between two solids is proposed. The model is applicable to electron transport and contact electrification between e.g. a metal and a dielectric solid. Based on a one-dimensional effective-mass Hamiltonian, the tunneling transmission coefficient of electrons through a barrier from one solid to another solid is calculated analytically. The transport rate (current) of electrons is found using the Tsu-Esaki equation and accounting for different Fermi functions of the two solids. We show that the tunneling dynamics is very sensitive to the vacuum potential versus the two solids conduction-band edges and the thickness of the vacuum gap. The relevant time constants for tunneling and contact electrification, relevant for triboelectricity, can vary over several orders of magnitude when the vacuum gap changes by one order of magnitude, say, 1 Å to 10 Å. Coulomb repulsion between electrons on the left and right material surfaces is accounted for in the tunneling dynamics.

scholarly journals Spin-orbit-assisted electron pairing in one-dimensional waveguides

2021 ◽  
Vol 104 (12) ◽  
Author(s):  
François Damanet ◽  
Elliott Mansfield ◽  
Megan Briggeman ◽  
Patrick Irvin ◽  
Jeremy Levy ◽  
...  
Keyword(s):  
Spin Orbit ◽  
Electron Pairing ◽  
One Dimensional

scholarly journals Quartic lattice interactions, soliton-like excitations, and electron pairing in one-dimensional anharmonic crystals

2011 ◽  
Vol 112 (13) ◽  
pp. 2591-2598 ◽  
Author(s):  
M. G. Velarde ◽  
L. Brizhik ◽  
A. P. Chetverikov ◽  
L. Cruzeiro ◽  
W. Ebeling ◽  
...  
Keyword(s):  
Electron Pairing ◽  
One Dimensional ◽  
Anharmonic Crystals

scholarly journals Electron pairing in one-dimensional anharmonic crystal lattices

2011 ◽  
Vol 112 (2) ◽  
pp. 551-565 ◽  
Author(s):  
M. G. Velarde ◽  
L. Brizhik ◽  
A. P. Chetverikov ◽  
L. Cruzeiro ◽  
W. Ebeling ◽  
...  
Keyword(s):  
Crystal Lattices ◽  
Anharmonic Crystal ◽  
Electron Pairing ◽  
One Dimensional

scholarly journals ASSESSING THE EFFECT OF COULOMB REPULSION ASYMMETRY ON ELECTRON PAIRING

2004 ◽  
Vol 18 (26) ◽  
pp. 3409-3418 ◽  
Author(s):  
FARSHID RAISSI
Keyword(s):  
Density Of States ◽  
Superconducting State ◽  
Spherical Symmetry ◽  
Mechanical Response ◽  
Transition Amplitude ◽  
Relativistic Effects ◽  
Coulomb Repulsion ◽  
Quantum Mechanical ◽  
Electron Pairing ◽  
Positive Ion

Coulomb repulsion between two moving electrons loses its spherical symmetry due to relativistic effects. In presence of a uniform positive ion background, this asymmetry uncovers an angular dependent attraction potential in the direction of motion. The quantum mechanical response to such an attraction potential is obtained through perturbation. It is shown that the transition amplitude between states with the symmetry of the attraction potential becomes negative and if the density of states is anisotropic, occurrence of a superconducting state becomes possible.

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