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Adaptation of the Landau-Migdal quasiparticle pattern to strongly correlated Fermi systems

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Abstract

A quasiparticle pattern advanced in Landau’s first article on Fermi-liquid theory is adapted to elucidate the properties of a class of strongly correlated Fermi systems characterized by a Lifshitz phase diagram featuring a quantum critical point (QCP) where the density of states diverges. The necessary condition for stability of the Landau Fermi-Liquid state is shown to break down in such systems, triggering a cascade of topological phase transitions that lead, without symmetry violation, to states with multi-connected Fermi surfaces. The end point of this evolution is found to be an exceptional state whose spectrum of single-particle excitations exhibits a completely flat portion at zero temperature. Analysis of the evolution of the temperature dependence of the single-particle spectrum yields results that provide a natural explanation of classical behavior of this class of Fermi systems in the QCP region.

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Authors and Affiliations

  1. Russian Research Centre Kurchatov Institute, Moscow, Russia

    V. A. Khodel & M. V. Zverev

  2. McDonnell Center for the Space Sciences and Department of Physics, Washington University, Washington, USA

    V. A. Khodel & J. W. Clark

  3. Moscow Institute of Physics and Technology, Moscow, Russia

    M. V. Zverev

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  1. V. A. Khodel
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  3. M. V. Zverev
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Correspondence to M. V. Zverev.

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Khodel, V.A., Clark, J.W. & Zverev, M.V. Adaptation of the Landau-Migdal quasiparticle pattern to strongly correlated Fermi systems. Phys. Atom. Nuclei 74, 1237–1266 (2011). https://doi.org/10.1134/S1063778811090079

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