Anomalous Behavior of Thermodynamic Properties of Strongly Correlated Fermi Systems

Abstract

Thermodynamic characteristics of Fermi systems are investigated in the vicinity of a phase transition where the effective mass diverges and the single-particle spectrum becomes flat. It is demonstrated that at extremely low temperatures $T$, the flattening of the spectrum is reflected in non-Fermi-liquid behavior of the inverse susceptibility ${\chi }^{-1}(T)\sim T^{\alpha }$ and the specific heat $C(T)/T\sim T^{-\alpha }$, with the critical index $\alpha =2/3$. In the presence of an external static magnetic field $H$, both these quantities are found to exhibit a scaling behavior, e.g. ${\chi }^{-1}(T,H)={\chi }^{-1}(T,0)+T^{2/3}F(H/T)$, in agreement with available experimental data.

arXiv comment4 pages, 2 figures

References in corpus (11)

• The break up of heavy electrons at a quantum critical point
• Onset of antiferromagnetism in heavy fermion metals
• Metal-insulator transition in two-dimensional electron systems
• Divergence of the Grueneisen Ratio at Quantum Critical Points in Heavy Fermion Metals
• The thermodynamic spin magnetization of strongly correlated 2d electrons in a silicon inversion layer
• What is the fate of the heavy electron at a quantum critical point?
• Ac Susceptibility and Static Magnetization Measurements of CeRu${}_2$Si${}_2$ at Small Magnetic Fields and Ultra Low Temperatures
• Grueneisen Ratio Divergence at the Quantum Critical Point in CeCu_{6-x}Ag_x
• Universal Behavior of Heavy-Fermion Metals Near a Quantum Critical Point
• Behavior of Fermi Systems Approaching Fermion Condensation Quantum Phase Transition from Disordered Phase
• Divergence of the Heavy Quasiparticle Mass at the Antiferromagnetic Quantum Critical Point in YbRh_2Si_2

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