Behavior of Fermi systems approaching the fermion condensation quantum phase transition from the disordered phase |
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Authors: | V R Shaginyan |
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Institution: | (1) St. Petersburg Nuclear Physics Institute, Russian Academy of Sciences, Gatchina, 188300, Russia;(2) CTSPS, Clark Atlanta University, Atlanta 30314 Georgia, USA |
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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?xFC¦, where x is the system density and xFC 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? xFC¦/xFC?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–xFC¦/xFC?1, the effective mass is approximately constant and the system becomes a conventional Landau Fermi liquid. |
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