Fermi liquid theory

E48476

Fermi liquid theory is a framework in condensed matter physics that describes how interacting fermions in a metal behave like long-lived quasiparticles with properties similar to those of a non-interacting Fermi gas.

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Predicate Object
instanceOf condensed matter physics theory
many-body theory
theoretical framework
appliesTo degenerate Fermi gases
electrons in metals
helium-3
interacting fermion systems
assumes adiabatic continuity from non-interacting Fermi gas
long-lived quasiparticle excitations near the Fermi surface
well-defined Fermi surface
category quantum many-body theory
contrastsWith Luttinger liquid theory
non-Fermi liquid behavior
describes low-energy excitations of interacting fermions
developedBy Lev Landau
explains normal phase of liquid helium-3 at low temperature
normal state of many simple metals
field condensed matter physics
formulatedIn 1950s
hasFeature quasiparticle energy depends on occupation of other states
quasiparticle lifetime diverges as energy approaches Fermi level
thermodynamic properties similar to non-interacting Fermi gas but renormalized
well-defined low-energy excitations
influenced modern many-body perturbation theory
inspired theory of superconductivity in Fermi systems
introducesConcept quasiparticles
mathematicalTool Green's functions
renormalization of quasiparticle parameters
self-energy
namedAfter Enrico Fermi
predicts Pauli paramagnetism with renormalized susceptibility
finite discontinuity in momentum distribution at the Fermi surface
linear temperature dependence of specific heat at low temperature
quadratic temperature dependence of resistivity in clean metals
zero sound in neutral Fermi liquids
relatesTo Fermi gas
Landau parameters
quasiparticle effective mass
quasiparticle lifetime
usesConcept Fermi surface
Landau interaction function
effective mass renormalization
forward-scattering amplitude
quasiparticle distribution function
validRegime energies near the Fermi level
low temperatures

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Referenced by (8)

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

Fermi surface importantFor Fermi liquid theory
Lev Landau knownFor Fermi liquid theory
this entity surface form: Landau Fermi-liquid theory
Pauli paramagnetism relatedTo Fermi liquid theory
this entity surface form: Landau Fermi liquid theory
David Pines notableWork Fermi liquid theory
this entity surface form: Theory of Quantum Liquids
Landau interaction function usedIn Fermi liquid theory
this entity surface form: Landau Fermi liquid theory
Luttinger liquid theory contrastsWith Fermi liquid theory
Landau notableWork Fermi liquid theory
subject surface form: Lev Landau
this entity surface form: Landau Fermi-liquid theory