Conservation Laws in Normal Metals: Luttinger Liquid vs. Fermi Liquid
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The structure of Fermi and Luttinger liquids is compared, emphasizing the crucial role of asymptotic conservation laws. The crossover between both liquids as a function of continuous dimensionality is analyzed. Exploiting the conservation laws, we sum up perturbation theory to all orders. Above one dimension, the Fermi liquid phase turns out to be stable with respect to regular residual interactions.
KeywordsFermi Surface Ward Identity Random Phase Approximation Fermi Liquid Luttinger Liquid
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- For a short, recent review on one-dimensional Fermi systems, see H. J. Schulz in Proceedings of the Adriatico Research Conference and Miniworkshop on “Strongly correlated electron systems II”, eds. G. Baskaran et al (World Scientific, Singapur 1991).Google Scholar
- F.D.M. Haldane and Y. Tu (unpublished).Google Scholar