Fermi energy

E31548

Fermi energy is the highest occupied energy level of a system of fermions at absolute zero temperature, playing a central role in determining the electronic and thermal properties of metals and semiconductors.

Aliases (1)

Statements (47)
Predicate Object
instanceOf physical quantity
quantum mechanical concept
thermodynamic quantity
appliesTo fermions
approximates chemical potential at low temperature
assumes non-interacting or weakly interacting fermions in simple models
characterizes degenerate Fermi gases
electronic properties of metals
electronic properties of semiconductors
definedAt absolute zero temperature
dependsOn confinement potential
dimensionality of the system
effective mass
particle density
describes highest occupied energy level at T = 0 K
determines Fermi temperature
hasUnit electronvolt
joule
importantFor band theory of solids
semiconductor doping analysis
thermal properties of electron gases
transport properties of electrons
understanding metallic conduction
isEnergyOf Fermi surface
isReferenceFor occupation probability of electronic states
position of bands relative to Fermi level
isTypically a few electronvolts in simple metals
namedAfter Enrico Fermi
relatedTo Fermi level
Fermi momentum
Fermi wavevector
Fermi–Dirac statistics
chemical potential
symbol E_F
usedIn condensed matter physics
quantum statistics
solid-state physics
statistical mechanics
usedInModel degenerate Fermi gas model
electron gas model
free electron model of metals
usedToCalculate Pauli paramagnetism
degeneracy pressure
density of states at the Fermi level
electronic heat capacity in metals
screening length in metals
variesWith carrier concentration in semiconductors

Referenced by (4)
Subject (surface form when different) Predicate
Fermi–Dirac statistics
Fermi–Dirac statistics ("Fermi level")
relatedConcept
Enrico Fermi ("Fermi level")
knownFor
Fermi energy ("Fermi level")
relatedTo

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