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.
Aliases (1)
Statements (46)
| 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 → |
Referenced by (2)
| Subject (surface form when different) | Predicate |
|---|---|
|
Fermi surface
→
|
importantFor |
|
Lev Landau
("Landau Fermi-liquid theory")
→
|
knownFor |