Peierls transition
E136241
The Peierls transition is a phase transition in one-dimensional metals where a periodic lattice distortion opens an energy gap at the Fermi surface, turning the system from a metal into an insulator or semiconductor.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Peierls instability | 3 |
| Peierls transition canonical | 2 |
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
phase transition
ⓘ
solid-state physics phenomenon ⓘ |
| associatedWith |
Brillouin zone
ⓘ
surface form:
Brillouin zone folding
dimerization of the lattice ⓘ increase of lattice energy ⓘ lowering of electronic energy ⓘ |
| causes | opening of a band gap at the Fermi level ⓘ |
| changesProperty |
electrical conductivity
ⓘ
electronic band structure ⓘ lattice periodicity ⓘ |
| characterizedBy |
opening of an energy gap at the Fermi surface
ⓘ
periodic lattice distortion ⓘ |
| drivenBy |
Fermi surface nesting
ⓘ
electron-phonon coupling ⓘ |
| effectOnFermiSurface | partial or complete gapping of the Fermi surface ⓘ |
| energyGapType | single-particle gap ⓘ |
| leadsTo | charge-density wave state ⓘ |
| minimizes | total free energy of the system ⓘ |
| modeledBy |
mean-field theory
ⓘ
tight-binding models ⓘ |
| namedAfter | Rudolf Peierls ⓘ |
| observedIn |
organic conductors
ⓘ
quasi-one-dimensional inorganic compounds ⓘ transition metal chalcogenides ⓘ |
| occursBelow | Peierls transition temperature ⓘ |
| occursIn |
one-dimensional metals
ⓘ
quasi-one-dimensional conductors ⓘ |
| orderParameter |
amplitude of the lattice distortion
ⓘ
charge-density modulation amplitude ⓘ |
| relatedTo |
Jahn–Teller effect
ⓘ
surface form:
Jahn-Teller effect
charge-density wave transition ⓘ spin-Peierls transition ⓘ |
| requires |
partially filled one-dimensional band
ⓘ
strong one-dimensional character of the electronic structure ⓘ |
| resultsIn |
metal-insulator transition
ⓘ
metal-semiconductor transition ⓘ |
| stabilizedWhen | electronic energy gain exceeds lattice distortion cost ⓘ |
| studiedIn | condensed matter physics ⓘ |
| suppressedBy |
disorder
ⓘ
thermal fluctuations ⓘ three-dimensional coupling ⓘ |
| symmetryChange | translational symmetry breaking ⓘ |
| temperatureAtWhichOccurs | Peierls transition temperature T_P ⓘ |
| temperatureDependent | true ⓘ |
| theoreticalBasis |
Peierls transition
self-linksurface differs
ⓘ
surface form:
Peierls instability
one-dimensional electron gas model ⓘ |
| waveVector | 2k_F ⓘ |
Referenced by (5)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Peierls instability
subject surface form:
Rudolf Peierls
subject surface form:
Rudolf Peierls
this entity surface form:
Peierls instability
this entity surface form:
Peierls instability