Thermodynamic properties of Fermi systems with flat single-particle spectra

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The behavior of strongly correlated Fermi systems is investigated beyond the onset of a phase transition where the single-particle spectrum $ξ({\bf p})$ becomes flat. The Landau-Migdal quasiparticle picture is shown to remain applicable on the ordered side of this transition. Nevertheless, low-temperature properties evaluated within this picture show profound changes relative to results of Landau theory, as a direct consequence of the flattening of $ξ({\bf p})$. Stability conditions for this class of systems are examined, and the nature of antiferromagnetic quantum phase transitions is elucidated.
5 pages, 5 figures

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