Fermi liquids and Luttinger liquids
H. J. Schulz, Gianaurelio Cuniberti, P. Pieri
Abstract
Open-access reader
H. J. Schulz, Gianaurelio Cuniberti, P. Pieri
Abstract
Open-access reader
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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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.
Key concepts: Bosonization, Luttinger liquid, Fermi liquid theory, Condensed matter physics, Renormalization group, Physics, Fermi Gamma-ray Space Telescope, Formalism (music)