Wigner crystal
E98264
A Wigner crystal is an ordered lattice of electrons that forms in low-density systems when their mutual Coulomb repulsion dominates over kinetic energy, leading to a crystalline arrangement of charge.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Wigner crystal canonical | 2 |
| 3D Wigner crystal | 1 |
Statements (52)
| Predicate | Object |
|---|---|
| instanceOf |
electron crystal
ⓘ
ordered electronic phase ⓘ quasiparticle system ⓘ strongly correlated electron phase ⓘ |
| alsoKnownAs | electron crystal ⓘ |
| characterizedBy |
Wigner-Seitz radius r_s
ⓘ
ratio of potential to kinetic energy ⓘ |
| formsIn | low electron density systems ⓘ |
| hasAnalogy |
Coulomb crystal in dusty plasmas
ⓘ
Coulomb crystal in trapped ions ⓘ |
| hasArrangement | crystalline arrangement of charge ⓘ |
| hasCompetingPhase |
Fermi liquid
ⓘ
charge density wave ⓘ fractional quantum Hall liquid ⓘ superconducting phase ⓘ |
| hasDimensionalVariant |
1D Wigner crystal
ⓘ
2D Wigner crystal ⓘ Wigner crystal self-linksurface differs ⓘ
surface form:
3D Wigner crystal
|
| hasExcitation |
phonon-like collective modes
ⓘ
pinning modes ⓘ |
| hasInteractionType | long-range Coulomb interaction ⓘ |
| hasMeltingMechanism |
quantum melting
ⓘ
thermal melting ⓘ |
| hasOrderParameter | long-range positional order of electrons ⓘ |
| hasPhaseTransitionType | quantum phase transition ⓘ |
| hasPhaseType | solid phase of electrons ⓘ |
| hasPhysicalNature | ordered lattice of electrons ⓘ |
| hasProperty |
broken translational symmetry
ⓘ
insulating transport behavior when pinned ⓘ long-range charge order ⓘ strong electron-electron correlations ⓘ very low kinetic energy per electron ⓘ |
| hasTheoreticalDescription |
Hartree–Fock method
ⓘ
surface form:
Hartree-Fock approximation
classical Coulomb crystal models ⓘ quantum Monte Carlo simulations ⓘ |
| namedAfter | Eugene Wigner ⓘ |
| occursIn |
GaAs/AlGaAs heterostructures
ⓘ
electrons on liquid helium ⓘ one-dimensional electron systems ⓘ quantum Hall systems ⓘ semiconductor heterostructures ⓘ three-dimensional electron systems ⓘ two-dimensional electron gases ⓘ |
| predictedBy | Eugene Wigner ⓘ |
| predictionYear | 1934 ⓘ |
| requiresCondition |
low carrier density
ⓘ
low temperature ⓘ weak disorder ⓘ |
| stabilizedWhen | Coulomb repulsion dominates over kinetic energy ⓘ |
| studiedInField |
condensed matter physics
ⓘ
low-temperature physics ⓘ plasma physics ⓘ |
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
3D Wigner crystal