6533b823fe1ef96bd127fdb6
RESEARCH PRODUCT
Landau Fermi Liquid Theory and Beyond
Vladimir A. StephanovichVasily R. ShaginyanVasily R. ShaginyanMiron AmusiaKonstantin G. Popovsubject
PhysicsEffective mass (solid-state physics)Condensed matter physicsElectron liquidQuantum oscillationsFermi liquid theoryLandau quantizationFermi gasShubnikov–de Haas effectLandau theorydescription
In this chapter we consider the Landau theory of the Fermi liquid that has a long history and remarkable results in describing a numerous properties of the electron liquid in ordinary metals and Fermi liquids of the \(^3\)He type. The theory is based on the assumption that elementary excitations determine the physics at low temperatures, resembling that of weakly interacting Fermi gas. These excitations behave as quasiparticles with a certain effective mass. The effective mass \(M^*\) exhibits a simple universal behavior, for it is independent of the temperature, pressure, and magnetic field strength and is a parameter of the theory. Microscopically deriving the equation determining the effective mass, we go beyond Landau approach and analyze more complicated universal behavior of \(M^*\) at the fermion condensation quantum phase transition.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-10-26 |