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from Part Three - Many-Body Physics
Published online by Cambridge University Press: 06 March 2020
Introduces the concept of Cooper pairing and develops a diagramatic approach to the Cooper instability. The BCS Hamiltonian is then constructed and solved with the aid of the Bogoliubov–Valatin transformation. Nambu–Gorkov formalism is introduced, and the Gor'kov anomalous Green function constructed. The Ginzburg–Landau formulation is derived from microscopic theory using the coherent-state partition function and the HS transformation. Detailed account of the Ginzburg–Landau perspective of superconductivity is given, ending with a derivation of the Meissner effect and an explanation of the Anderson–Higgs mechanism.
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