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VOLUME 77 (2003) | ISSUE 2 | PAGE 104
Behavior of Fermi systems approaching fermion condensation quantum phase transition from disordered phase
PACS: 71.10.Hf, 71.27.+a, 74.72.-h
Abstract
The behavior of Fermi systems which 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^*\propto 1/|x-x_{FC}| where x is the system density and xFC is the critical point at which FCQPT occurs. Such a behavior is of general form and takes place in both three dimensional (3D) systems and two dimensional (2D) ones. Since the effective mass M* is finite, the system exhibits the Landau Fermi liquid behavior. At |x-x_{FC}|/x_{FC}\ll 1, the behavior can be viewed as a highly correlated one, because the effective mass is large and strongly depends on the density. In case of electronic systems the Wiedemann-Franz law is held and Kadowaki-Woods ratio is preserved. Beyond the region |x-x_{FC}|/x_{FC}\ll 1, the effective mass is approximately constant and the system becomes conventional Landau Fermi liquid.