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A brief introduction to Luttinger liquids

2000/01/01 by Johannes Voit · 1 citation
Materials Science · Physics and Astronomy · #Organic and Molecular Conductors Research #Quantum and electron transport phenomena #Topological Materials and Phenomena #cond-mat.str-el

paper · pdf · doi:10.1063/1.1342524

10 pages, 2 figures, to be published in the Proceedings of the International Winterschool on Electronic Properties of Novel Materials 2000, Kirchberg, March 4-11, 2000

openalex publication_date 2000/01/01 · arxiv created 2000/05/05 · arxiv updated 2009/11/30 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/29

Abstract

I give a brief introduction to Luttinger liquids. Luttinger liquids are paramagnetic one-dimensional metals without Landau quasi-particle excitations. The elementary excitations are collective charge and spin modes, leading to charge-spin separation. Correlation functions exhibit power-law behavior. All physical properties can be calculated, e.g. by bosonization, and depend on three parameters only: the renormalized coupling constant Kρ, and the charge and spin velocities. I also discuss the stability of Luttinger liquids with respect to temperature, interchain coupling, lattice effects and phonons, and list important open problems.

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