Composite fermion
E400608
A composite fermion is a quasiparticle formed by an electron bound to an even number of magnetic flux quanta, playing a key role in explaining the fractional quantum Hall effect.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Composite fermion canonical | 1 |
| Composite fermion theory | 1 |
Statements (46)
| Predicate | Object |
|---|---|
| instanceOf |
Emergent particle
ⓘ
Quasiparticle ⓘ |
| associatedWith |
Chern–Simons theory
ⓘ
surface form:
Chern–Simons gauge field
Flux attachment transformation ⓘ |
| composedOf |
Electron
ⓘ
Even number of magnetic flux quanta ⓘ |
| effectiveDescriptionOf | Strongly correlated electrons in high magnetic fields ⓘ |
| emergesAt |
Landau level filling factor ν = 1/2
ⓘ
Other even-denominator effective fields ⓘ |
| emergesIn |
quantum Hall effect
ⓘ
surface form:
Fractional quantum Hall regime
|
| explains |
Odd-denominator filling fractions
ⓘ
Sequence of fractional quantum Hall plateaus ⓘ |
| formedIn |
Strong perpendicular magnetic field
ⓘ
Two-dimensional electron gas ⓘ |
| hasEffectiveFillingFactor | p (integer) ⓘ |
| hasElectricCharge | Electron charge ⓘ |
| hasFillingFactorMapping | ν = p/(2p±1) ⓘ |
| hasProperty |
Can form Fermi sea at half-filled Landau level
ⓘ
Can form compressible metallic-like states ⓘ Can form incompressible quantum liquids ⓘ Charge transport carrier in fractional quantum Hall states ⓘ Effective mass different from bare electron mass ⓘ Electron bound to even number of flux quanta ⓘ Emergent from electron–electron interactions ⓘ Emergent gauge field coupling ⓘ Forms Landau-like levels (Λ levels) ⓘ Maps fractional quantum Hall states to integer quantum Hall states of composite fermions ⓘ Quasiparticle lifetime determined by interactions and disorder ⓘ Quasiparticle of topological origin ⓘ |
| hasSpin | Half-integer spin ⓘ |
| hasTheoreticalTool |
Flux-smearing approximation
ⓘ
Chern–Simons theory ⓘ
surface form:
Mean-field Chern–Simons theory
|
| introducedBy | Jainendra K. Jain ⓘ |
| introducedInYear | 1989 ⓘ |
| movesIn | Reduced effective magnetic field ⓘ |
| obeysStatistics | Fermi–Dirac statistics ⓘ |
| observedIn |
GaAs/AlGaAs quantum wells
ⓘ
High-mobility semiconductor heterostructures ⓘ |
| playsRoleIn |
quantum Hall effect
ⓘ
surface form:
Fractional quantum Hall effect
|
| relatedConcept |
Anyons
ⓘ
Landau levels ⓘ
surface form:
Landau level
Laughlin quasiparticle ⓘ Quantum Hall ferromagnetism ⓘ |
| relatedTheory |
Composite fermion
self-linksurface differs
ⓘ
surface form:
Composite fermion theory
|
| studiedIn |
Condensed matter physics
ⓘ
quantum Hall effect ⓘ
surface form:
Quantum Hall systems
|
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Composite fermion theory