Fermi liquids and Luttinger liquids

Details Fermi liquids and Luttinger liquids Fermi liquids and Luttinger liquids

1998-07-28

arxiv.org/abs/cond-mat/9807366v2

In `Field Theories for Low-Dimensional Condensed Matter Systems'. G. Morandi et al. Eds. Springer (2000). ISBN: 3540671773

Physics

Condensed Matter

Strongly Correlated Electrons

Lecture notes of the Chia Laguna (Italy) summer school, september 1997, 62 pages references updated, typos corrected

Scientific paper

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.

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