Singular or Non-Fermi Liquids

By C. Varma, Zohar Nussinov, W. Saarloos. 2001

244 citations recorded by the source corpus.

Abstract An introductory survey of the theoretical ideas and calculations and the experimental results which depart from Landau Fermi liquids is presented. The common themes and possible routes to the singularities leading to the breakdown of Landau Fermi liquids are categorized following an elementary discussion of the theory. Soluble examples of singular or non-Fermi liquids include models of impurities in metals with special symmetries and one-dimensional interacting fermions. A review of these is followed by a discussion of singular Fermi liquids in a wide variety of experimental situations and theoretical models. These include the effects of low-energy collective fluctuations, gauge fields due either to symmetries in the Hamiltonian or possible dynamically generated symmetries, fluctuations around quantum critical points, the normal state of high-temperature superconductors and the two-dimensional metallic state. For the last three systems, the principal experimental results are summarized and the outstanding theoretical issues are highlighted.

Subfields: Condensed Matter Physics, Electronic, Optical and Magnetic Materials

View Paper: https://www.semanticscholar.org/paper/95783a21d08df0ccf06ac391b33bca8e4ae265c6

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Citations in the corpus

Advances and challenges in single-molecule electron transport (2019, methodology): “For a detailed account of the general situation, we direct the reader to the original research articles and reviews (Bulla et al., 2008; Florens et al., 2011; Varma et al., 2002; Vojta, 2006).”
A Quantum Critical Point Lying Beneath the Superconducting Dome in Iron Pnictides (2013, background): “where z is the dynamical exponent of the quantum phase transition [39, 42, 43].”
Electrodynamics of high- T c superconductors (2005, background): “The idea of a quantum criti- cal point at a doping level that separates the low-doping region dominated by the pseudogap and a high-doping region governed by Fermi-liquid behavior has been suggested by several authors for an overview see Sachdev, 2003 and Varma et al., 2002 .”
Electrodynamics of correlated electron materials (2011, background): “A quantum critical state of matter has been anticipated in the proximity of these transitions (Sachdev, 1999; Varma et al., 2002).”