Mott minimum metallic conductivity
E484702
Mott minimum metallic conductivity is a theoretical lower bound on the electrical conductivity of a metal, proposed by Sir Nevill F. Mott, below which a material can no longer sustain metallic (delocalized) electronic transport.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Mott minimum metallic conductivity canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T4975881 — 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: Mott minimum metallic conductivity Context triple: [Electronic Processes in Non-Crystalline Materials, describedConcept, Mott minimum metallic conductivity]
-
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.
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B.
Mott variable-range hopping
Mott variable-range hopping is a theoretical model in condensed matter physics that describes how electrons move through disordered materials at low temperatures via thermally activated tunneling between localized states over variable distances.
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C.
Landau–Peierls instability
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.
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D.
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.
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E.
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.
- 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: Mott minimum metallic conductivity Target entity description: Mott minimum metallic conductivity is a theoretical lower bound on the electrical conductivity of a metal, proposed by Sir Nevill F. Mott, below which a material can no longer sustain metallic (delocalized) electronic transport.
-
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 variable-range hopping
Mott variable-range hopping is a theoretical model in condensed matter physics that describes how electrons move through disordered materials at low temperatures via thermally activated tunneling between localized states over variable distances.
-
C.
Landau–Peierls instability
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.
-
D.
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.
-
E.
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.
- F. None of above. chosen
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
physical concept
ⓘ
theoretical lower bound ⓘ transport property criterion ⓘ |
| appliesAt | low temperatures ⓘ |
| appliesTo |
degenerate semiconductors
ⓘ
disordered conductors ⓘ metals ⓘ strongly correlated electron systems ⓘ |
| assumes | mean free path not smaller than interatomic spacing ⓘ |
| category |
electrical conductivity
ⓘ
metal–insulator transitions ⓘ quantum transport phenomena ⓘ |
| characterizes | metal–insulator transition ⓘ |
| concerns |
delocalized electronic states
ⓘ
transition from delocalized to localized states ⓘ |
| contrastsWith | insulating behavior with activated transport ⓘ |
| defines | lower bound on metallic conductivity ⓘ |
| dependsOn |
electron charge e
ⓘ
interatomic spacing a ⓘ reduced Planck constant ħ NERFINISHED ⓘ |
| field |
condensed matter physics
ⓘ
electronic transport theory ⓘ solid-state physics ⓘ |
| historicalProponent | Nevill F. Mott NERFINISHED ⓘ |
| implies |
breakdown of metallic transport below σ_min
ⓘ
electrons become localized below σ_min ⓘ |
| motivatedBy | failure of semiclassical transport at very high resistivity ⓘ |
| namedAfter | Nevill F. Mott NERFINISHED ⓘ |
| relatedTo |
Anderson localization
ⓘ
Drude model NERFINISHED ⓘ Fermi wavevector ⓘ Ioffe–Regel criterion NERFINISHED ⓘ Mott criterion for metallization NERFINISHED ⓘ Mott metal–insulator transition NERFINISHED ⓘ electron localization ⓘ mean free path ⓘ |
| relevantFor |
amorphous metals
ⓘ
heavily doped semiconductors ⓘ strongly disordered alloys ⓘ transition metal oxides ⓘ |
| statedAs |
σ_min ≈ (0.02–0.05) e²/(ħ a)
ⓘ
σ_min ≈ 0.03 e²/(ħ a) ⓘ |
| typicalMagnitude | of order 10³–10⁴ S/cm ⓘ |
| usedAs |
benchmark for bad metals
ⓘ
criterion to distinguish metals from insulators ⓘ reference in analyzing disordered alloys ⓘ reference in doped semiconductors ⓘ |
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: Mott minimum metallic conductivity Description of subject: Mott minimum metallic conductivity is a theoretical lower bound on the electrical conductivity of a metal, proposed by Sir Nevill F. Mott, below which a material can no longer sustain metallic (delocalized) electronic transport.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.
Electronic Processes in Non-Crystalline Materials
→
describedConcept
→
Mott minimum metallic conductivity
ⓘ