Abstract

The behavior of the specific heat c p , effective mass M ∗ , and the thermal expansion coefficient α of a Fermi system located near the fermion condensation quantum phase transition (FCQPT) is considered. We observe the first type behavior if the system is close to FCQPT: the specific heat c p∝ T , M ∗∝1/ T , while the thermal expansion coefficient α∝ T . Thus, the Grüneisen ratio Γ( T)= α/ c p does not diverges. At the transition region, where the system passes over from the non-Fermi liquid to the Landau Fermi liquid, the ratio diverges as Γ(T)∝1/ T . When the system becomes the Landau Fermi liquid, Γ( T, r)∝1/ r, with r being a distance from the quantum critical point. Provided the system has undergone FCQPT, the second type takes place: the specific heat behaves as c p∝ T , M ∗∝1/T , and α= a+ bT with a, b being constants. Again, the Grüneisen ratio diverges as Γ(T)∝1/ T .

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