Fermi Gas

(redirected from Free electron gas)

Fermi gas

[′fer·mē ‚gas]
(statistical mechanics)
An assembly of independent particles that obey Fermi-Dirac statistics, and therefore obey the Pauli exclusion principle; this concept is used in the free-electron theory of metals and in one model of the behavior of the nucleons in a nucleus. Also known as Fermi-Dirac gas.

Fermi Gas

 

a gas that consists of particles with half-integral spin and obeys Fermi-Dirac statistics. Fermi gas that consists of noninteracting particles is called ideal Fermi gas. Fermi gases include electrons in metals and semiconductors, electrons in atoms with large atomic numbers, nucleons in heavy atomic nuclei, and gases consisting of quasiparticles with half-integral spin.

At a temperature T = 0°K, an ideal Fermi gas is in the ground state, and the particles of the gas occupy all quantum states with energy up to a certain maximum value, which depends on the gas density and is called the Fermi level (EF). Quantum states with energy E > EF are empty; such a distribution of occupied and empty states corresponds to complete degeneracy of the Fermi gas. At T ≠ 0°K, the mean occupation number for a quantum state of an ideal Fermi gas is described by the Fermi-Dirac distribution function.

A Fermi level also exists for a nonideal Fermi gas, although the particles of such a gas do not occupy specific quantum states. In a nonideal Fermi gas consisting of electrons in a metal, the formation of pairs of correlated electrons (the Cooper effect) and the transition of the metal to the superconducting state may occur at very low temperatures because of the attraction of electrons with equal but oppositely directed momenta and spins. A Fermi gas consisting of electrons in heavy atoms is described by the Thomas-Fermi model (seeSELF-CONSISTENT FIELD).

D. N. ZUBAREV

References in periodicals archive ?
Until recently subwavelength optics laid great hopes on the effects related to interactions of light with the, so-called, plasmons -- collective oscillations of free electron gas in metals.
In a sense, it is quite analogous to a metal sphere, which has the resonance frequencies related to the oscillations of the free electron gas.
In contrast to this surface plasmon theory, in which the central role is played by collective electron density waves propagating along the surface of metal films in a free electron gas model, the authors of paper [5] propose that the surface metal-air medium should be regarded as a metal skin and that the ideas of the Richardson-Dushman effect of thermionic emission are crucial [6].