Fermion Condensation Quantum Phase Transition versus Conventional Quantum Phase Transitions

Abstract

The main features of fermion condensation quantum phase transition (FCQPT), which are distinctive in several aspects from that of conventional quantum phase transition (CQPT), are considered. We show that in contrast to CQPT, whose physics in quantum critical region is dominated by thermal and quantum fluctuations and characterized by the absence of quasiparticles, the physics of a Fermi system near FCQPT or undergone FCQPT is controlled by the system of quasiparticles resembling the Landau quasiparticles. Contrary to the Landau quasiparticles, the effective mass of these quasiparticles strongly depends on the temperature, magnetic fields, density, etc. This system of quasiparticles having general properties determines the universal behavior of the Fermi system in question. As a result, the universal behavior persists up to relatively high temperatures comparatively to the case when such a behavior is determined by CQPT. We analyze striking recent measurements of specific heat, charge and heat transport used to study the nature of magnetic field-induced QCP in heavy-fermion metal CeCoIn${}_5$ and show that the observed facts are in good agreement with our scenario based on FCQPT and certainly seem to rule out the critical fluctuations related with CQPT. Our general consideration suggests that FCQPT and the emergence of novel quasiparticles near and behind FCQPT and resembling the Landau quasiparticles are distinctive features intrinsic to strongly correlated substances.

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References in corpus (26)

• Quantum phase transitions
• Magnetic-Field Induced Quantum Critical Point in YbRh${}_2$Si${}_2$
• Universally diverging Grueneisen parameter and the magnetocaloric effect close to quantum critical points
• Avoided Antiferromagnetic Order and Quantum Critical Point in CeCoIn${}_5$
• Projected Wavefunctions and High Temperature Superconductivity
• Divergence of the Grueneisen Ratio at Quantum Critical Points in Heavy Fermion Metals
• Metamagnetic Quantum Criticality
• Sharp increase of the effective mass near the critical density in a metallic 2D electron system
• Magnetic Field Induced Non-Fermi-Liquid Behavior in YbAgGe Single Crystal
• Robustness of the van Hove scenario for high-Tc superconductors
• Ac Susceptibility and Static Magnetization Measurements of CeRu${}_2$Si${}_2$ at Small Magnetic Fields and Ultra Low Temperatures
• Universal Behavior of Heavy-Fermion Metals Near a Quantum Critical Point
• Quasiparticle picture of high temperature superconductors in the frame of Fermi liquid with the fermion condensate
• Behavior of Fermi Systems Approaching Fermion Condensation Quantum Phase Transition from Disordered Phase
• The effective mass of two--dimensional 3He
• Simple Exactly Solvable Models of non-Fermi Liquids
• Two Types of the Effective Mass Divergence and the Grüneisen Ratio in Heavy Fermion Metals
• Transition from non Fermi Liquid Behavior to Landau Fermi Liquid Behavior Induced by Magnetic Fields
• Physics of the Insulating Phase in the Dilute Two-Dimensional Electron Gas
• Magnetoresistance of Highly Correlated Electron Liquid
• Quasiparticles in a strongly correlated liquid with the fermion condensate: applications to high-temperature superconductors
• Fermion-Condensation Quantum Phase Transition in High-T_c Superconductors
• Fermion-condensation quantum phase transition in high temperature superconductors
• Magnetic field-induced Landau Fermi Liquid in high-T_c metals
• Possible Universal Cause of High-T_c Superconductivity in Different Metals
• Quasiparticles in the Superconducting State of High-T_c Metals

Cited by in corpus (3)

• New state of matter: heavy-fermion systems, quantum spin liquids, quasicrystals, cold gases, and high temperature superconductors
• Quasiparticles and order parameter near quantum phase transition in heavy fermion metals
• Quasiparticles of strongly correlated Fermi liquids at high temperatures and in high magnetic fields