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.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Cooper pair canonical | 2 |
| Cooper pairs | 1 |
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 theory of superconductivity
ⓘ
surface form:
BCS gap equation
|
| occursInTheory |
BCS theory of superconductivity
ⓘ
surface form:
BCS theory
|
| resultsIn |
Meissner effect
ⓘ
zero DC electrical resistance ⓘ |
| suppresses | electron scattering ⓘ |
| wasIntroducedInContextOf | BCS theory of superconductivity ⓘ |
| wasProposedBy | Leon Cooper ⓘ |
| yearProposed | 1956 ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Cooper pair Description of subject: 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.
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Cooper pairs