quantum Hall effect

E545049

The quantum Hall effect is a quantum phenomenon in two-dimensional electron systems where the Hall conductance becomes quantized in integer or fractional values, revealing fundamental aspects of condensed matter physics and enabling precise resistance standards.

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Predicate Object
instanceOf condensed matter physics phenomenon
quantum phenomenon
topological phase of matter
awarded Nobel Prize in Physics 1985 to Klaus von Klitzing
linked to: Klaus von Klitzing
characterizedBy formation of Landau levels
quantized Hall conductance
topologically protected edge states
vanishing longitudinal resistance
discoveredAt High Magnetic Field Laboratory in Grenoble
discoveredBy Klaus von Klitzing
discoveryYear 1980
field condensed matter physics
low-temperature physics
mesoscopic physics
hasApplication metrology
quantum standards of resistance
study of topological phases of matter
hasConsequence plateaus in Hall resistance
precise electrical resistance standard
quantization of Hall resistance
robustness against disorder
zero longitudinal resistivity on plateaus
hasGeneralization fractional quantum Hall effect
linked to: quantum Hall effect

higher-dimensional quantum Hall effect
quantum anomalous Hall effect
hasType fractional quantum Hall effect
integer quantum Hall effect
linked to: quantum Hall effect
involves disorder-induced localization
electron–electron interactions
strong electron–magnetic field coupling
modelledBy Chern–Simons field theory
Landau level theory
linked to: Landau levels

Laughlin wavefunction
occursIn GaAs/AlGaAs heterojunctions
MOSFET inversion layers
graphene
semiconductor heterostructures
two-dimensional electron systems
quantizedHallConductance integer multiples of e^2/h
rational fractions of e^2/h
relatedTo Anderson localization
Berry phase
Chern number
Landau quantization
linked to: Landau levels

anyons
edge–bulk correspondence
quantum anomalous Hall effect
quantum spin Hall effect
spin Hall effect
topological invariants
topological order
requires low temperature
strong perpendicular magnetic field
usedAs realization of von Klitzing constant
resistance standard
usedFor high-precision measurement of fine-structure constant

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Referenced by (12)

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

Klaus von Klitzing hasDiscovered quantum Hall effect
Chern–Simons theory appliedIn fractional quantum Hall effect
linked to: quantum Hall effect
Shubnikov–de Haas effect relatedTo quantum Hall effect
Landau levels areFundamentalTo quantum Hall effect
Landau levels areFundamentalTo fractional quantum Hall effect
linked to: quantum Hall effect
Composite fermion emergesIn Fractional quantum Hall regime
linked to: quantum Hall effect
Composite fermion playsRoleIn Fractional quantum Hall effect
linked to: quantum Hall effect
Composite fermion studiedIn Quantum Hall systems
linked to: quantum Hall effect
quantum Hall effect hasType integer quantum Hall effect
linked to: quantum Hall effect
quantum Hall effect hasGeneralization fractional quantum Hall effect
linked to: quantum Hall effect
Horst Störmer knownFor fractional quantum Hall effect
linked to: quantum Hall effect
Berry phase usedIn quantum Hall effect