Fermi-liquid theory forSU(N)Kondo model

Fermi Liquid Theory: Principles

Landau developed the idea of quasiparticle excitations in the context of interacting Fermi systems. His theory is known as Fermi liquid theory. He introduced the idea phenomenologically, and later Abrikosov and Kalatnikov gave a formal derivation using diagrammatic perturbation theory to all orders. Landau suggested describing the excited states of the interacting system as in one-to-one corres...

Fermi Liquid Theory: Thermodynamics

I have chosen to use a spin notation of “up” or “down” with respect to a convenient z axis rather than a more rotationally invariant formulation. The quantity εp is not the same as in the interacting system, but can be expanded in the same way about p = pF εp = εF + vF (p − pF )+ · · · (3) where εF , vF are not the same as in the noninteracting system. The single quasiparticle energy does not d...

Marginal fermi liquid theory in the Hubbard model.

We find marginal-Fermi-liquid- (MFL) like behavior in the Hubbard model on a square lattice for a range of hole doping and on-site interaction parameter U. Thereby we use a self-consistent projection operator method. It enables us to compute the momentum and frequency dependence of the single-particle excitations with high resolution. The Fermi surface is found to be holelike in the underdoped ...

Quantum phase transitions and Fermi liquid theory

CCMS Summer 2007 Lecture Series Fermi- and non-Fermi Liquids Lecture 3: Fermi-liquid Theory