Summary

Leon Cooper's Nobel Lecture, "Cooper and the BCS Theory," articulates the central thesis that superconductivity arises from the formation of electron pairs (Cooper pairs) mediated by lattice vibrations (phonons). This pairing causes electrons to condense into a single quantum state, allowing current to flow with zero resistance. Cooper explains how this macroscopic quantum phenomenon was theoretically described by the Bardeen-Cooper-Schrieffer (BCS) theory, which he co-developed, and discusses the experimental evidence that validated it.

The lecture details the key ideas of the BCS theory, including the role of the Fermi surface, the concept of an energy gap protecting the superconducting state, and the mathematical formulation of the pairing interaction. Readers gain a direct insight into the foundational concepts of superconductivity as presented by one of its discoverers, understanding the theoretical underpinnings and the profound implications of this collective electronic behavior at low temperatures.

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Key concepts

Cooper Pair — Two electrons bound together indirectly through interactions with the crystal lattice.
Phonon — A quantum of vibrational energy in a crystal lattice, mediating the attractive force between electrons.
BCS Theory — A microscopic theory explaining superconductivity as a result of electron pairing mediated by phonons.
Energy Gap — The minimum energy required to break a Cooper pair and excite the superconducting system.
Fermi Surface — The boundary in momentum space separating occupied and unoccupied electron states at absolute zero.