
A model of interacting electrons in a metal where they behave as quasiparticles.Fermi liquid theory is a theoretical framework that describes the behavior of interacting electrons in metals at low temperatures. It was developed by Lev Landau in the 1950s and posits that, despite strong electron-electron interactions, the system can be described in terms of weakly interacting 'quasiparticles' — electrons dressed by their interactions with the surrounding medium. These quasiparticles have the same quantum numbers as free electrons but with renormalized mass and magnetic properties.
Lev Landau introduced the concept in 1956–1958 in a series of papers on the theory of Fermi liquids. The framework was later extended by others, including A. A. Abrikosov and I. M. Khalatnikov, and remains a cornerstone of condensed matter physics.
The key insight is adiabatic continuity: as interactions are gradually turned on, the ground state of the non-interacting electron gas evolves smoothly into the interacting ground state, and the excited states map onto quasiparticle excitations. These quasiparticles have a long lifetime near the Fermi surface (the boundary between occupied and empty electron states) because scattering is suppressed by Pauli exclusion and phase-space constraints. The theory predicts specific temperature and frequency dependencies for properties like specific heat, electrical resistivity, and magnetic susceptibility, which serve as experimental signatures.
Fermi liquid theory is used to interpret experiments on metals, including measurements of heat capacity, conductivity, and magnetic response. It also serves as a baseline for identifying non-Fermi liquid behavior, which is a hallmark of exotic materials like high-temperature superconductors and heavy-fermion compounds.
The theory's predictions for the temperature dependence of resistivity — a T² term at low temperatures — are used as a diagnostic to detect deviations from standard metallic behavior in materials like the vanadium compounds studied in the article 'Танец магнитов под давлением: квантовый переход в ванадиевых соединениях'.









