Mott variable-range hopping
E111762
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.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Mott variable-range hopping canonical | 3 |
| Mott variable-range hopping law | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T938794 — 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 variable-range hopping Context triple: [Nevill Mott, knownFor, Mott variable-range hopping]
-
A.
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.
-
B.
Ising models
Ising models are mathematical models in statistical mechanics that describe systems of interacting binary variables (spins) on a lattice, widely used to study phase transitions, magnetism, and as a foundation for various probabilistic and machine learning models.
-
C.
Kac ring model
The Kac ring model is a simplified mathematical model in statistical mechanics introduced by Mark Kac to illustrate how macroscopic irreversibility can emerge from time-reversible microscopic dynamics.
-
D.
Fermi liquid theory
Fermi liquid theory is a framework in condensed matter physics that describes how interacting fermions in a metal behave like long-lived quasiparticles with properties similar to those of a non-interacting Fermi gas.
-
E.
Abrikosov vortices
Abrikosov vortices are quantized magnetic flux lines that penetrate type-II superconductors in a regular lattice when exposed to magnetic fields above a critical value.
- 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 variable-range hopping Target entity description: 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.
-
A.
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.
-
B.
Ising models
Ising models are mathematical models in statistical mechanics that describe systems of interacting binary variables (spins) on a lattice, widely used to study phase transitions, magnetism, and as a foundation for various probabilistic and machine learning models.
-
C.
Kac ring model
The Kac ring model is a simplified mathematical model in statistical mechanics introduced by Mark Kac to illustrate how macroscopic irreversibility can emerge from time-reversible microscopic dynamics.
-
D.
Fermi liquid theory
Fermi liquid theory is a framework in condensed matter physics that describes how interacting fermions in a metal behave like long-lived quasiparticles with properties similar to those of a non-interacting Fermi gas.
-
E.
Abrikosov vortices
Abrikosov vortices are quantized magnetic flux lines that penetrate type-II superconductors in a regular lattice when exposed to magnetic fields above a critical value.
- F. None of above. chosen
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
electronic conduction mechanism
ⓘ
theoretical model in condensed matter physics ⓘ transport model ⓘ |
| appliesTo |
Anderson-localized systems
ⓘ
amorphous semiconductors ⓘ disordered materials ⓘ doped semiconductors ⓘ glassy materials ⓘ strongly disordered insulators ⓘ |
| assumes |
finite density of localized states at the Fermi level
ⓘ
non-interacting or weakly interacting electrons ⓘ |
| concerns | insulating side of the metal–insulator transition ⓘ |
| contrastsWith |
band conduction
ⓘ
nearest-neighbor hopping ⓘ |
| dependsOn |
degree of disorder
ⓘ
density of states at the Fermi level ⓘ localization length of electronic wavefunctions ⓘ |
| describes |
electron transport in disordered systems
ⓘ
thermally activated tunneling between localized states ⓘ |
| developedBy |
Nevill Mott
ⓘ
surface form:
Nevill Francis Mott
|
| differsFrom | Efros–Shklovskii variable-range hopping by neglecting Coulomb gap ⓘ |
| explains | non-Arrhenius temperature dependence of resistivity in disordered insulators ⓘ |
| field |
condensed matter physics
ⓘ
mesoscopic physics ⓘ |
| hasParameter |
characteristic temperature T0
ⓘ
spatial dimension d ⓘ |
| involves |
hopping conduction
ⓘ
localized electronic states ⓘ phonon-assisted tunneling ⓘ variable energy difference between localized states ⓘ variable hopping distance ⓘ |
| mathematicalForm | σ(T) = σ0 · exp[-(T0/T)^{1/(d+1)}] ⓘ |
| namedAfter |
Nevill Mott
ⓘ
surface form:
Nevill Francis Mott
|
| predicts |
conductivity proportional to exp[-(T0/T)^{1/(d+1)}]
ⓘ
stretched-exponential temperature dependence of conductivity ⓘ |
| relatedTo |
Anderson localization
ⓘ
Efros–Shklovskii variable-range hopping ⓘ Mott insulator ⓘ |
| relevantAt | low temperatures ⓘ |
| temperatureDependenceExponent |
1/2 in one dimension
ⓘ
1/3 in two dimensions ⓘ 1/4 in three dimensions ⓘ |
| usedFor |
analyzing transport in doped semiconductors near the metal-insulator transition
ⓘ
interpreting low-temperature conductivity data ⓘ modeling conduction in amorphous silicon ⓘ modeling conduction in organic semiconductors ⓘ |
| validWhen |
electrons are localized rather than extended
ⓘ
thermal energy is small compared to typical disorder energy scale ⓘ |
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 variable-range hopping Description of subject: 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.
Referenced by (4)
Full triples — surface form annotated when it differs from this entity's canonical label.
subject surface form:
Nevill Francis Mott
Electronic Processes in Non-Crystalline Materials
→
describedConcept
→
Mott variable-range hopping
ⓘ
this entity surface form:
Mott variable-range hopping law