Singular Fermi Liquids

Abstract

An introductory survey of the theoretical ideas and calculations and the experimental results which depart from Landau Fermi-liquids is presented. 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 Fermi liquids (often called 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 highlighted.

170 pages; submitted to Physics Reports; a single pdf file with high quality figures is available from http://www.lorentz.leidenuniv.nl/~saarloos

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• Quantum Theory of a Nematic Fermi Fluid
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Cited by in corpus (195)

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• Theory of Superconductivity in the Cuprates
• Luttinger theorem for the strongly correlated Fermi liquid of composite fermions
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• Epidemics, the Ising-model and percolation theory: a comprehensive review focussed on Covid-19
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• Charge transport by holographic Fermi surfaces
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• CeCoIn5 - a quantum critical superfluid
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• Quantum Criticality in Ferromagnetic Single-Electron Transistors
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• Another dimension: investigations of molecular magnetism using muon-spin relaxation
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• Non-Fermi liquid signatures in the Hubbard Model due to van Hove singularities
• Renormalization group aspects of graphene
• Many Body Physics: Unfinished Revolution
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• Spontaneously broken boosts and the Goldstone continuum
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• Extended strange metal regime from superconducting puddles
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• Topological physics in quantum critical systems
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• Atomic Model of Susy Hubbard Operators
• From the Bose-Einstein to Fermion Condensation
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• Quantum-critical transport in marginal Fermi liquids
• Atypical Behavior of Collective Modes in Two-Dimensional Fermi Liquids
• Fermi-Hubbard model on non-bipartite lattices: flux problem and emergent chirality
• Current Algebra Approach to 2d Chiral Metals
• The extended diffusive Sachdev-Ye-Kitaev model as a sort of "strange metal"
• Superconductivity from a non-Fermi liquid metal : Kondo fluctuation mechanism in the slave-fermion theory
• Quantum-critical resistivity of strange metals in a magnetic field
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• Itinerant electrons on dilute frustrated Ising lattices
• Susceptibility inhomogeneity and non-Fermi liquid behavior in UCu_{5-x}Pt_x
• Running coupling constants of the Luttinger liquid
• Heavy Electron Quantum Criticality
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• Luttinger liquid, singular interaction and quantum criticality in cuprate materials
• Non-Unitary Fermionic Quasinormal Modes at Zero Frequency