scholarly journals Pairing properties from random distributions of single-particle energy levels

2018 ◽  
Vol 97 (6) ◽  
Author(s):  
M. A. Al Mamun ◽  
C. Constantinou ◽  
M. Prakash
Keyword(s):  
Single Particle ◽  
Energy Levels ◽  
Particle Energy ◽  
Single Particle Energy ◽  
Random Distributions

Shell-Tunneling Spectroscopy of the Single-Particle Energy Levels of Insulating Quantum Dots

Nano Letters ◽  
2001 ◽  
Vol 1 (10) ◽  
pp. 551-556 ◽  
Author(s):  
E. P. A. M. Bakkers ◽  
Z. Hens ◽  
A. Zunger ◽  
A. Franceschetti ◽  
L. P. Kouwenhoven ◽  
...  
Keyword(s):  
Quantum Dots ◽  
Single Particle ◽  
Energy Levels ◽  
Tunneling Spectroscopy ◽  
Particle Energy ◽  
Single Particle Energy

scholarly journals WHY HOLES ARE NOT LIKE ELECTRONS III: HOW HOLES IN THE NORMAL STATE TURN INTO ELECTRONS IN THE SUPERCONDUCTING STATE

2009 ◽  
Vol 23 (14) ◽  
pp. 3035-3057 ◽  
Author(s):  
J. E. HIRSCH
Keyword(s):  
Single Particle ◽  
Normal State ◽  
Superconducting State ◽  
Negative Charge ◽  
Energy Levels ◽  
Particle Energy ◽  
Point Of View ◽  
Electron Interaction ◽  
Single Particle Energy ◽  
The Difference

In recent work, we discussed the difference between electrons and holes in energy band in solids from a many-particle point of view, originating in the electron–electron interaction,1 and from a single particle point of view, originating in the electron–ion interaction.2 We proposed that superconductivity in solids only occurs when the Fermi level is close to the top of a band (hole carriers), that it originates in "undressing" of carriers from both the electron–electron and the electron–ion interaction, and that as a consequence holes in the normal state behave like electrons in the superconducting state.3 However, the connection between both undressing effects was left unclear, as was left unclear how the transformation from hole behavior to electron behavior occurs. Here, we clarify these questions by showing that the same electron–electron interaction physics that promotes pairing of hole carriers and undressing of carriers from the electron–electron interaction leads to undressing of carriers from the electron–ion interaction and transforms the behavior of carriers from hole-like to electron-like. A complete reorganization of the occupation of single-particle energy levels occurs. Furthermore this phenomenon is connected with the expulsion of negative charge that we predict to occur in superconductors. These unexpected connections support the validity of our theoretical framework, the theory of hole superconductivity, to explain superconductivity in solids.

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