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Fermi liquids and Luttinger liquids

1998/07/31 by H. J. Schulz, G. Cuniberti, P. Pieri · 1 citation
Physics and Astronomy · #cond-mat.str-el

paper · pdf

published as In `Field Theories for Low-Dimensional Condensed Matter Systems'. G. Morandi et al. Eds. Springer (2000). ISBN: 3540671773 · Lecture notes of the Chia Laguna (Italy) summer school, september 1997, 62 pages references updated, typos corrected

arxiv created 1998/08/04 · arxiv updated 2009/11/30

Abstract

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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