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 |
How this entity was disambiguated
This entity first appeared as the object of triple T1190364 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Peierls transition Context triple: [Rudolf Peierls, notableIdea, Peierls transition]
-
A.
Mott transition
The Mott transition is a metal–insulator transition in strongly correlated electron systems, where electron–electron interactions drive a material from conducting to insulating behavior without a change in its crystal structure.
-
B.
Mott insulator
A Mott insulator is a material that, despite having partially filled electronic bands that should allow conduction, behaves as an electrical insulator due to strong electron–electron interactions.
-
C.
Landau theory of second-order phase transitions
Landau theory of second-order phase transitions is a phenomenological framework that explains continuous phase transitions by expanding the free energy in terms of an order parameter and analyzing symmetry-breaking behavior near critical points.
-
D.
Schrieffer
Schrieffer is the surname of John Robert Schrieffer, the American physicist and Nobel laureate known for co-developing the BCS theory of superconductivity.
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E.
Eliashberg theory
Eliashberg theory is an extension of BCS superconductivity that incorporates strong-coupling and frequency-dependent effects to more accurately describe real superconducting materials.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Peierls transition Target entity description: 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.
-
A.
Mott transition
The Mott transition is a metal–insulator transition in strongly correlated electron systems, where electron–electron interactions drive a material from conducting to insulating behavior without a change in its crystal structure.
-
B.
Mott insulator
A Mott insulator is a material that, despite having partially filled electronic bands that should allow conduction, behaves as an electrical insulator due to strong electron–electron interactions.
-
C.
Landau theory of second-order phase transitions
Landau theory of second-order phase transitions is a phenomenological framework that explains continuous phase transitions by expanding the free energy in terms of an order parameter and analyzing symmetry-breaking behavior near critical points.
-
D.
Schrieffer
Schrieffer is the surname of John Robert Schrieffer, the American physicist and Nobel laureate known for co-developing the BCS theory of superconductivity.
-
E.
Eliashberg theory
Eliashberg theory is an extension of BCS superconductivity that incorporates strong-coupling and frequency-dependent effects to more accurately describe real superconducting materials.
- F. None of above. chosen
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 ⓘ |
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: Peierls transition Description of subject: 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.
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