BCS theory of superconductivity

E2026

The BCS theory of superconductivity is a fundamental microscopic theory that explains superconductivity through the formation of Cooper pairs of electrons and their collective quantum behavior in a solid.

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Predicate Object
instanceOf microscopic theory of superconductivity
quantum many-body theory
theory in condensed matter physics
abbreviationOf Bardeen–Cooper–Schrieffer theory
alsoKnownAs BCS theory
appliesTo conventional low-temperature superconductors
many elemental superconductors
type-I superconductors
assumes effective attractive interaction between electrons near the Fermi surface
pairing of electrons with opposite momenta and spins
basedOn formation of Cooper pairs
describes collective quantum behavior of Cooper pairs
electrons forming bound pairs in momentum space
developedBy John Bardeen
John Robert Schrieffer
Leon Cooper
doesNotFullyExplain high-temperature cuprate superconductors
unconventional superconductivity in heavy-fermion systems
explains superconductivity in conventional superconductors
field condensed matter physics
theoretical physics
framework many-body quantum mechanics
second quantization
influenced theory of superfluidity in helium-3
inspired BCS-BEC crossover theory
mathematicallyUses BCS ground state wavefunction
gap equation
namedAfter John Bardeen
John Robert Schrieffer
Leon Cooper
predicts Meissner effect
critical temperature dependence on electron-phonon coupling
energy gap in the electronic excitation spectrum
isotope effect in superconductors
universal ratio 2Δ(0)/k_B T_c ≈ 3.52 for weak coupling
zero electrical resistance below critical temperature
publicationYear 1957
publishedIn Physical Review
recognizedBy Nobel Prize in Physics 1972
relatedTo Eliashberg theory
Ginzburg–Landau theory of superconductivity
London equations
resultsIn macroscopic quantum state with long-range phase coherence
spontaneous breaking of U(1) gauge symmetry
usesConcept Bogoliubov quasiparticles
Cooper pair
Fermi surface
energy gap
order parameter
phonon-mediated attraction

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Referenced by (26)

Full triples — surface form annotated when it differs from this entity's canonical label.

John Bardeen knownFor BCS theory of superconductivity
John Bardeen notableWork Bardeen–Cooper–Schrieffer theory
linked to: BCS theory of superconductivity
BCS theory of superconductivity alsoKnownAs BCS theory
linked to: BCS theory of superconductivity
BCS theory of superconductivity abbreviationOf Bardeen–Cooper–Schrieffer theory
linked to: BCS theory of superconductivity
John Bardeen knownFor BCS theory of superconductivity
subject linked to: Bardeen
Bardeen hasNotableScientificAssociation BCS theory
linked to: BCS theory of superconductivity
Bardeen hasNotableScientificAssociation Bardeen–Cooper–Schrieffer theory
linked to: BCS theory of superconductivity
Cooper pair occursInTheory BCS theory
linked to: BCS theory of superconductivity
Cooper pair obeys BCS gap equation
linked to: BCS theory of superconductivity
Meissner effect relatedTo BCS theory
linked to: BCS theory of superconductivity
London equations precedes BCS theory
linked to: BCS theory of superconductivity
Eliashberg theory generalizes BCS weak-coupling limit
linked to: BCS theory of superconductivity
Leon Cooper knownFor BCS theory of superconductivity
Leon Cooper notableWork Bardeen–Cooper–Schrieffer theory
linked to: BCS theory of superconductivity
Leon Cooper coDeveloperOf BCS theory of superconductivity
John Robert Schrieffer knownFor BCS theory of superconductivity
John Robert Schrieffer coAuthorOf Bardeen–Cooper–Schrieffer theory
linked to: BCS theory of superconductivity
John Robert Schrieffer notableWork Theory of Superconductivity (BCS theory)
linked to: BCS theory of superconductivity
John Bardeen knownFor BCS theory of superconductivity
subject linked to: John
Pippard nonlocal theory relatedTo BCS theory
linked to: BCS theory of superconductivity
John Robert Schrieffer knownFor BCS theory of superconductivity
subject linked to: Schrieffer
John Robert Schrieffer coDeveloperOf BCS theory
subject linked to: Schrieffer
linked to: BCS theory of superconductivity
John Robert Schrieffer notableWork BCS theory of superconductivity
subject linked to: John
Giaever tunneling basedOn BCS theory
linked to: BCS theory of superconductivity
Nambu–Jona-Lasinio model motivatedBy BCS theory of superconductivity
London theory of superconductivity precedes BCS theory of superconductivity