Cooper pair
E8656
A Cooper pair is a bound state of two electrons (or other fermions) that move together in a correlated way, enabling superconductivity by forming a collective quantum state with zero electrical resistance.
Statements (49)
| Predicate | Object |
|---|---|
| instanceOf |
bound state
→
composite boson → physical concept → quasiparticle → |
| canHavePairingSymmetry |
d-wave
→
p-wave → s-wave → |
| contributesTo |
energy gap in superconductor
→
|
| emergesFromInteraction |
attractive electron–electron interaction
→
electron–phonon interaction → |
| enablesPhenomenon |
superconductivity
→
superfluidity of fermions → |
| existsBelow |
critical temperature of superconductor
→
|
| existsIn |
conventional superconductors
→
superfluid helium-3 analogs → type-I superconductors → type-II superconductors → |
| formsCollectiveState |
macroscopic quantum state
→
superconducting condensate → |
| hasCenterOfMassMomentum |
approximately zero in ground state
→
|
| hasConstituent |
electron
→
fermion → |
| hasElectricCharge |
-2e
→
|
| hasLengthScale |
coherence length
→
|
| hasMomentumState |
paired states near Fermi surface
→
|
| hasProperty |
Bose–Einstein statistics as composite
→
correlated motion of electrons → extended spatial size → finite binding energy → long-range phase coherence → |
| hasRelativeAngularMomentum |
s-wave in conventional superconductors
→
|
| hasSpin |
integer spin
→
|
| hasTotalSpin |
0
→
|
| hasTypicalSpinState |
spin singlet
→
|
| hasWavefunction |
pair wavefunction extending over many lattice sites
→
|
| isBrokenBy |
sufficiently strong electric current
→
sufficiently strong magnetic field → thermal excitations above critical temperature → |
| isDescribedIn |
many-body quantum theory
→
|
| isModeledAs |
pairing of time-reversed states
→
|
| namedAfter |
Leon Cooper
→
|
| obeys |
BCS gap equation
→
|
| occursInTheory |
BCS theory
→
|
| resultsIn |
Meissner effect
→
zero DC electrical resistance → |
| suppresses |
electron scattering
→
|
| wasIntroducedInContextOf |
BCS theory of superconductivity
→
|
| wasProposedBy |
Leon Cooper
→
|
| yearProposed |
1956
→
|
Referenced by (2)
| Subject (surface form when different) | Predicate |
|---|---|
|
Leon Cooper
→
|
notableConcept |
|
BCS theory of superconductivity
→
|
usesConcept |