quantum Hall effect

E545049
condensed matter physics phenomenon quantum phenomenon topological phase of matter

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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Observed surface forms (4)

Surface form Occurrences
fractional quantum Hall effect 2
Fractional quantum Hall effect 1
Fractional quantum Hall regime 1

Statements (56)

Predicate Object
instanceOf condensed matter physics phenomenon ⓘ
quantum phenomenon ⓘ
topological phase of matter ⓘ
awarded Nobel Prize in Physics 1985 to Klaus von Klitzing NERFINISHED ⓘ
characterizedBy formation of Landau levels ⓘ
quantized Hall conductance ⓘ
topologically protected edge states ⓘ
vanishing longitudinal resistance ⓘ
discoveredAt High Magnetic Field Laboratory in Grenoble NERFINISHED ⓘ
discoveredBy Klaus von Klitzing NERFINISHED ⓘ
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 NERFINISHED ⓘ
higher-dimensional quantum Hall effect ⓘ
quantum anomalous Hall effect ⓘ
hasType fractional quantum Hall effect ⓘ
integer quantum Hall effect NERFINISHED ⓘ
involves disorder-induced localization ⓘ
electron–electron interactions ⓘ
strong electron–magnetic field coupling ⓘ
modelledBy Chern–Simons field theory NERFINISHED ⓘ
Landau level theory NERFINISHED ⓘ
Laughlin wavefunction NERFINISHED ⓘ
occursIn GaAs/AlGaAs heterojunctions ⓘ
MOSFET inversion layers ⓘ
graphene NERFINISHED ⓘ
semiconductor heterostructures ⓘ
two-dimensional electron systems ⓘ
quantizedHallConductance integer multiples of e^2/h ⓘ
rational fractions of e^2/h ⓘ
relatedTo Anderson localization NERFINISHED ⓘ
Berry phase ⓘ
Chern number ⓘ
Landau quantization NERFINISHED ⓘ
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 ⓘ

Referenced by (8)

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 → quantum Hall effect ⓘ
this entity surface form: fractional quantum Hall effect
Shubnikov–de Haas effect → relatedTo → quantum Hall effect ⓘ
Landau levels → areFundamentalTo → quantum Hall effect ⓘ
Landau levels → areFundamentalTo → quantum Hall effect ⓘ
this entity surface form: fractional quantum Hall effect
Composite fermion → emergesIn → quantum Hall effect ⓘ
this entity surface form: Fractional quantum Hall regime
Composite fermion → playsRoleIn → quantum Hall effect ⓘ
this entity surface form: Fractional quantum Hall effect
Composite fermion → studiedIn → quantum Hall effect ⓘ
this entity surface form: Quantum Hall systems