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 |
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 ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.
Electronic Processes in Non-Crystalline Materials
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describedConcept
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Mott minimum metallic conductivity
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