Fermi liquid features of the one-dimensional Luttinger liquid

Abstract

We show that the one-dimensional (1D) electron systems can also be described by Landau's phenomenological Fermi-liquid theory. Most of the known results derived from the Luttinger-liquid theory can be retrieved from the 1D Fermi-liquid theory. Exact correspondence between the Landau parameters and Haldane parameters is established. The exponents of the dynamical correlation functions and the impurity problem are also discussed based on the finite size corrections of elementary excitations with the predictions of the conformal field theory, which provides a bridge between the 1D Fermi-liquid and the Luttinger liquid.

RevTeX, 5 pages, published version

References in corpus (5)

• One-Dimensional Fermi liquids
• Interacting one dimensional electron gas with open boundaries
• Luttinger Theorem in One Dimensional Metals
• Exact Boundary Critical Exponents and Tunneling Effect in Integrable Models for Quantum Wires
• Electrons, pseudoparticles, and quasiparticles in the one-dimensional many-electron problem

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• A unified approach to the thermodynamics and quantum scaling functions of one-dimensional strongly attractive $SU(w)$ Fermi Gases