Particle-Hole Fluctuations in Superconductors
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| Title: | Particle-Hole Fluctuations in Superconductors |
|---|---|
| Authors: | Protter, Mason |
| Advisors: | Marsiglio, Frank (Physics) |
| Summary: | Abstract: In this thesis we investigate how corrections originating from particle-hole interactions may be introduced into the Bardeen-Cooper-Schrieffer (BCS) theory of superconductivity using functional integral methods. The attractive Fermionic contact interaction is simultaneously decoupled in the Cooper and exchange channels, with the exchange-channel decoupling field treated as a small fluctuation about its zero mean-field value. Upon integrating out the exchange-channel fluctuation field, the system is described by a new effective action for the Cooper-channel decoupling field, which models the superconducting condensate. The saddle-point condition of this effective action generates the standard mean-field BCS equations with correction terms containing particle-hole polarization bubbles. The corrections obtained in this thesis are similar in spirit, albeit different in form, to those originally found in 1961 by Gor’kov and Melik-Barkhudarov (GMB). An advantage of the technique employed here, as opposed to the GMB approach, is the methodical manner in which fluctuations can be incorporated into superconductors. |
| URL: | https://era.library.ualberta.ca/items/3fb24009-5381-469e-bfab-7aa0a1941d38/view/3cda0eb7-1b49-4c59-9235-1a828463b464/Protter_Mason_201907_MSc.pdf |
| Database: | OpenDissertations |
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