Landau–Peierls instability
E334545
Landau–Peierls instability is a theoretical prediction in condensed matter physics that shows how long-wavelength thermal fluctuations destroy true long-range positional order in low-dimensional crystalline systems.
All labels observed (3)
| Label | Occurrences |
|---|---|
| Landau–Peierls instability canonical | 1 |
| Mermin–Wagner theorem | 1 |
| Peierls argument | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T3175509 — 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: Landau–Peierls instability Context triple: [Lev Landau, knownFor, Landau–Peierls instability]
-
A.
Peierls transition
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.
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B.
Peierls
Peierls is a surname most notably associated with Rudolf Peierls, a German-born British physicist who made key contributions to nuclear physics and the development of the atomic bomb.
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C.
Shubnikov–de Haas effect
The Shubnikov–de Haas effect is a quantum oscillatory phenomenon in the electrical resistance of conductors and semiconductors subjected to strong magnetic fields at low temperatures, used to probe their electronic structure and Fermi surface.
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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.
Ginzburg–Landau theory of superconductivity
The Ginzburg–Landau theory of superconductivity is a phenomenological framework that describes superconductors using a complex order parameter and macroscopic equations to capture phase transitions, coherence length, and magnetic behavior.
- 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: Landau–Peierls instability Target entity description: Landau–Peierls instability is a theoretical prediction in condensed matter physics that shows how long-wavelength thermal fluctuations destroy true long-range positional order in low-dimensional crystalline systems.
-
A.
Peierls transition
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.
-
B.
Peierls
Peierls is a surname most notably associated with Rudolf Peierls, a German-born British physicist who made key contributions to nuclear physics and the development of the atomic bomb.
-
C.
Shubnikov–de Haas effect
The Shubnikov–de Haas effect is a quantum oscillatory phenomenon in the electrical resistance of conductors and semiconductors subjected to strong magnetic fields at low temperatures, used to probe their electronic structure and Fermi surface.
-
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.
Ginzburg–Landau theory of superconductivity
The Ginzburg–Landau theory of superconductivity is a phenomenological framework that describes superconductors using a complex order parameter and macroscopic equations to capture phase transitions, coherence length, and magnetic behavior.
- F. None of above. chosen
Statements (41)
| Predicate | Object |
|---|---|
| instanceOf |
concept in condensed matter physics
ⓘ
theoretical prediction ⓘ |
| affects | Bragg peak structure in low-dimensional crystals ⓘ |
| appliesTo |
low-dimensional crystalline systems
ⓘ
one-dimensional crystals ⓘ two-dimensional crystals ⓘ |
| assumes |
short-range interactions
ⓘ
thermodynamic limit ⓘ |
| basedOn |
continuum elastic theory of crystals
ⓘ
harmonic approximation for lattice vibrations ⓘ |
| concerns |
equilibrium properties of crystals
ⓘ
long-wavelength fluctuations ⓘ positional order ⓘ thermal fluctuations ⓘ |
| describes | destruction of true long-range positional order ⓘ |
| distinguishedFrom | destruction of orientational order ⓘ |
| doesNotApplyTo | three-dimensional crystals with short-range interactions ⓘ |
| explains | impossibility of perfect long-range translational order in ideal 2D crystals at finite temperature ⓘ |
| field | condensed matter physics ⓘ |
| holdsAt | finite temperature ⓘ |
| implies |
broadening of Bragg peaks into power-law singularities in 2D
ⓘ
logarithmic growth of displacement correlations with distance in two dimensions ⓘ only quasi-long-range positional order in two-dimensional crystals ⓘ power-law decay of positional correlations in two-dimensional crystals ⓘ |
| mathematicalFeature | infrared divergence of displacement fluctuations in low dimensions ⓘ |
| mechanism | long-wavelength phonon fluctuations ⓘ |
| namedAfter |
Lev Landau
ⓘ
Rudolf Peierls ⓘ |
| predicts |
absence of true long-range translational order in low-dimensional crystals at finite temperature
ⓘ
divergence of mean-square atomic displacements with system size in low dimensions ⓘ |
| relatedTo |
Goldstone modes associated with broken translational symmetry
ⓘ
Kosterlitz–Thouless–Halperin–Nelson–Young theory ⓘ Mermin–Wagner theorem ⓘ fluctuation-induced destruction of order ⓘ phonon spectrum in low dimensions ⓘ two-dimensional melting ⓘ |
| relevantFor |
low-dimensional soft-matter crystals
ⓘ
one-dimensional charge-density waves ⓘ one-dimensional spin-density waves ⓘ thin crystalline films ⓘ two-dimensional materials ⓘ |
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: Landau–Peierls instability Description of subject: Landau–Peierls instability is a theoretical prediction in condensed matter physics that shows how long-wavelength thermal fluctuations destroy true long-range positional order in low-dimensional crystalline systems.
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Landau–Peierls instability