Two theorems on superconductivity in tight-binding metals
G. D. Mahan
DOI 10.1103/PhysRevB.51.5908 · Physical Review B
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Abstract
The one-band tight-binding model is used to calculate the effective interaction between electrons in superconductors. Two theorems are proved. One is that the effective interaction is always repulsive when including only electron-electron interactions. The second theorem relates to the electron-phonon interaction. The interaction due to charge fluctuations can become attractive when the effective potential changes sign.
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