Fermi liquids and Luttinger liquids
H. J. Schulz, G. Cuniberti, and P. Pieri
Solid State Sciences 131, 1 (2000)
[In ``Field Theories for Low-Dimensional Condensed Matter Systems''. Edited by G. Morandi et al. Springer (2000)]
In these lecture notes, the basic physics of Fermi liquids and Luttinger liquids is presented. Fermi liquids are discussed both from a phenomenological viewpoint, in relation to microscopic approaches, and as renormalization group fixed points. Luttinger liquids are introduced using the bosonization formalism, and their essential differences with Fermi liquids are pointed out. Applications to transport effects, the effect of disorder, quantum spin chains, and spin ladders, both insulating and metallic, are given.