Appearance of Fermion Condensation Quantum Phase Transition in Different Fermi Liquids

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dc.creatorShaginyan, V. R.
dc.date2002-08-28
dc.date.accessioned2026-07-07T02:47:01Z
dc.date.available2026-07-07T02:47:01Z
dc.descriptionWe show that the quasiparticle effective mass $M^*$ diverges as a function of the system's density $x$, $M^*\propto 1/(x-x_{FC})$, when a system approaches the critical point $x_{FC}$ at which the fermion condensation quantum phase transition (FCQPT) occurs. Such behavior is of general form and takes place in both three dimensional systems and two dimensional ones. We demonstrate that a system which has undergone FCQPT and lies close to the critical point $x_{FC}$ can be driven back into the normal Fermi liquid by applying a small magnetic field $B$. As the field $B$ is reduced, the system is tuned back to the critical point and the effective mass diverges as $M^*\propto 1/\sqrt{B-B_{FC}}$ where $B_{FC}$ is the maximum field at which FCQPT takes place. We demonstrate the constancy of the Kadowaki-Woods ratio when approaching the critical point at the fields $B>B_{FC}$. Analyzing recent experimental data on the effective mass behavior in a strongly correlated two dimensional fluid $^3$He, in metallic two dimensional electron systems and in heavy-fermion systems, we show that the observed behavior is in agreement with our consideration. As a result, we may conclude that FCQPT can be conceived of as a universal cause of the strongly correlated regime in different Fermi liquids.
dc.description8 pages, Revtex
dc.identifierhttps://arxiv.org/abs/cond-mat/0208568
dc.identifierhttp://arxiv.org/abs/cond-mat/0208568
dc.identifierReport at CMT26, Portugal, September, 2002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/19854
dc.subjectStrongly Correlated Electrons
dc.subjectSuperconductivity
dc.titleAppearance of Fermion Condensation Quantum Phase Transition in Different Fermi Liquids
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