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Fermi liquids and Luttinger liquids

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arxiv cond-mat/9807366 v2 pith:MEXV3L6H submitted 1998-07-28 cond-mat.str-el

classification cond-mat.str-el
keywords liquidsfermiluttingerspinapplicationsapproachesbasicbosonization
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Chiral Instabilities in Driven-Dissipative Quantum Liquids

    cond-mat.stat-mech 2025-02 conditional novelty 7.0 of 10

    A driven Tomonaga-Luttinger liquid with a purely chiral bath spontaneously amplifies only one chirality of quasiparticles, a new chiral parametric instability.

  2. Bosonization in $R$-paraparticle Luttinger models

    cond-mat.str-el 2025-08 reject novelty 6.0 of 10

    R-parafermionic Luttinger models can be bosonized only for p=1 (Pauli-like) R-parafermions, with flavor-charge separation as a potential experimental signature.

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