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.

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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

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Referenced by (5)

Full triples — surface form annotated when it differs from this entity's canonical label.

Philip Anderson notableWork Anderson localization
Mott transition differsFrom Anderson localization
this entity surface form: Anderson localization transition
Electronic Processes in Non-Crystalline Materials describedConcept Anderson localization
this entity surface form: Mott mobility edge
Anderson localization describedIn Anderson localization self-linksurface differs
this entity surface form: “Absence of Diffusion in Certain Random Lattices”
Anderson localization relatedTo Anderson localization self-linksurface differs
this entity surface form: Anderson metal–insulator transition