Landau levels

E243121

energy level spectrum quantum mechanical phenomenon

Landau levels are the quantized energy levels of charged particles in a uniform magnetic field, fundamental to understanding quantum Hall effects and magnetic oscillation phenomena in solids.

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All labels observed (3)

Label	Occurrences
Landau levels canonical	2
Landau quantization	2
Landau level	1

Statements (48)

Predicate	Object
instanceOf	energy level spectrum ⓘ quantum mechanical phenomenon ⓘ
appliesTo	charged particles in a magnetic field ⓘ
are	discrete energy levels ⓘ quantized energy levels ⓘ
areDescribedBy	Landau levels self-linksurface differs ⓘ surface form: Landau quantization
areFundamentalTo	Shubnikov–de Haas effect ⓘ de Haas–van Alphen effect ⓘ quantum Hall effect ⓘ surface form: fractional quantum Hall effect integer quantum Hall effect ⓘ magnetic oscillation phenomena ⓘ magnetotransport in solids ⓘ quantum Hall effect ⓘ quantum magnetoresistance ⓘ
areKeyConceptIn	condensed matter physics ⓘ mesoscopic physics ⓘ quantum Hall physics ⓘ quantum transport theory ⓘ
areModifiedBy	disorder and impurities ⓘ electron–electron interactions ⓘ spin Zeeman splitting ⓘ spin–orbit coupling ⓘ
areObservedBy	cyclotron resonance ⓘ magneto-optical spectroscopy ⓘ magnetotransport measurements ⓘ scanning tunneling spectroscopy ⓘ
areSolutionOf	Dirac equation ⓘ surface form: Dirac equation in a magnetic field for relativistic particles Schrödinger equation in a uniform magnetic field ⓘ
areUsedToDetermine	Fermi surface properties ⓘ carrier density ⓘ effective mass of charge carriers ⓘ g-factor of electrons ⓘ
ariseFrom	motion of charged particles in a uniform magnetic field ⓘ
degeneracyProportionalTo	magnetic flux through the sample ⓘ sample area ⓘ
dependOn	charge of the particle ⓘ effective mass of the particle ⓘ magnetic field strength ⓘ
energySeparationProportionalTo	cyclotron frequency ⓘ magnetic field magnitude ⓘ
exhibit	macroscopic degeneracy ⓘ
haveCharacteristic	equally spaced energies for nonrelativistic electrons ⓘ non-equidistant spectrum in graphene ⓘ
namedAfter	Lev Landau ⓘ
occurIn	bulk metals ⓘ graphene ⓘ semiconductor heterostructures ⓘ two-dimensional electron gas ⓘ

Referenced by (5)

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

de Haas–van Alphen effect → relatedTo → Landau levels ⓘ

Lev Landau → knownFor → Landau levels ⓘ

Landau levels → areDescribedBy → Landau levels self-linksurface differs ⓘ

this entity surface form: Landau quantization

Lifshitz–Kosevich formula → relatedTo → Landau levels ⓘ

this entity surface form: Landau quantization

Composite fermion → relatedConcept → Landau levels ⓘ

this entity surface form: Landau level