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How does BCS theory explain superconductivity?

   How does BCS theory explain superconductivity?

University Physics

University Physics

Samuel J. Ling, Jeff… 3rd Edition

Chapter 9, Problem 37

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Solved by Expert Dading Chen

07/12/2020

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How does BCS theory explain superconductivity?

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Key Concepts

Condensate Formation

Once Cooper pairs are formed, they condense into a single, macroscopic quantum state with long-range phase coherence. This coherent state allows for electrical current to flow without resistance, as scattering processes that would normally dissipate energy are suppressed by the energy gap and the collective behavior of the pairs.

Energy Gap

The formation of Cooper pairs leads to the opening of an energy gap in the excitation spectrum of the material. This energy gap is a distinctive feature of the superconducting state and represents the minimum energy required to break a Cooper pair, thereby protecting the superconducting state against small perturbations.

Cooper Pairs

A central concept in BCS theory is the formation of Cooper pairs, where electrons near the Fermi surface, despite their mutual repulsion, bind into pairs due to an effective attractive interaction. These pairs exhibit a net spin and behave as bosons, which are able to condense into a collective quantum state.

Electron-Phonon Interaction

In BCS theory, even though electrons repel each other, an attractive interaction can occur indirectly through the lattice vibrations, or phonons, of the material. This electron-phonon interaction is crucial because it mediates the pairing of electrons into Cooper pairs.

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