Abstract
The behavior of Fermi systems that approach the fermion condensation quantum phase transition (FCQPT) from the disordered phase is considered. We show that the quasiparticle effective mass M* diverges as M* ∝ 1/¦x−x FC¦, where x is the system density and x FC is the critical point at which FCQPT occurs. Such behavior is of general form and takes place in both three-dimensional (3D) and two-dimensional (2D) systems. Since the effective mass M* is finite, the system exhibits the Landau Fermi liquid behavior. At ¦x− x FC¦/x FC≪1, the behavior can be viewed as highly correlated, because the effective mass is large and strongly depends on the density. In the case of electronic systems, the Wiedemann-Franz law is valid and the Kadowaki-Woods ratio is preserved. Beyond the region ¦x–x FC¦/x FC≪1, the effective mass is approximately constant and the system becomes a conventional Landau Fermi liquid.
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From Pis’ma v Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 77, No. 2, 2003, pp. 104–108.
Original English Text Copyright © 2003 by Shaginyan.
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Shaginyan, V.R. Behavior of Fermi systems approaching the fermion condensation quantum phase transition from the disordered phase. Jetp Lett. 77, 99–103 (2003). https://doi.org/10.1134/1.1564228
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DOI: https://doi.org/10.1134/1.1564228