Anderson localization
E112449
Anderson localization is a quantum mechanical phenomenon in which disorder in a material causes electrons or waves to become spatially localized, preventing them from diffusing freely.
All labels observed (5)
| Label | Occurrences |
|---|---|
| Anderson localization canonical | 1 |
| Anderson localization transition | 1 |
| Anderson metal–insulator transition | 1 |
| Mott mobility edge | 1 |
| “Absence of Diffusion in Certain Random Lattices” | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T948725 — 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.
Target entity: Anderson localization Context triple: [Philip Anderson, notableWork, Anderson localization]
-
A.
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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B.
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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C.
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.
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D.
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.
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E.
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.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: Anderson localization Target entity description: Anderson localization is a quantum mechanical phenomenon in which disorder in a material causes electrons or waves to become spatially localized, preventing them from diffusing freely.
-
A.
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.
-
B.
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.
-
C.
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.
-
D.
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.
-
E.
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.
- F. None of above. chosen
Statements (51)
| Predicate | Object |
|---|---|
| instanceOf |
physical phenomenon
ⓘ
quantum mechanical phenomenon ⓘ wave localization phenomenon ⓘ |
| appliesTo |
classical waves
ⓘ
electrons ⓘ light waves ⓘ matter waves ⓘ quantum waves ⓘ sound waves ⓘ |
| cause |
disorder
ⓘ
random potential fluctuations ⓘ |
| characterizedBy |
absence of diffusion
ⓘ
disorder-driven metal–insulator transition ⓘ exponential localization length ⓘ localized eigenstates ⓘ mobility edge ⓘ |
| dependsOn |
dimensionality of the system
ⓘ
energy of the particle or wave ⓘ strength of disorder ⓘ symmetry class of the Hamiltonian ⓘ |
| describedIn |
Anderson localization
self-linksurface differs
ⓘ
surface form:
“Absence of Diffusion in Certain Random Lattices”
|
| effect |
exponential decay of wave amplitude
ⓘ
spatial localization of wavefunctions ⓘ suppression of diffusion ⓘ vanishing dc conductivity in thermodynamic limit ⓘ |
| field |
condensed matter physics
ⓘ
mesoscopic physics ⓘ quantum transport ⓘ wave physics ⓘ |
| hasConsequence |
breakdown of Ohm’s law
ⓘ
insulating behavior in strongly disordered systems ⓘ suppression of transport at zero temperature ⓘ |
| namedAfter |
Philip Anderson
ⓘ
surface form:
Philip Warren Anderson
|
| occursIn |
acoustic media
ⓘ
disordered media ⓘ disordered solids ⓘ microwave systems ⓘ optical media ⓘ random lattices ⓘ ultracold atomic gases ⓘ |
| relatedTo |
Anderson localization
self-linksurface differs
ⓘ
surface form:
Anderson metal–insulator transition
coherent backscattering ⓘ mesoscopic conductance fluctuations ⓘ quantum interference ⓘ random matrix theory ⓘ scaling theory of localization ⓘ weak localization ⓘ |
| testedBy |
cold atom expansion experiments in disordered potentials
ⓘ
optical transmission experiments in random media ⓘ transport measurements in disordered conductors ⓘ |
| yearProposed | 1958 ⓘ |
How these facts were elicited
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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.
Subject: Anderson localization Description of subject: Anderson localization is a quantum mechanical phenomenon in which disorder in a material causes electrons or waves to become spatially localized, preventing them from diffusing freely.
Referenced by (5)
Full triples — surface form annotated when it differs from this entity's canonical label.