Two types of the effective mass divergence and the Grüneisen ratio in heavy-fermion metals |
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Authors: | M. Ya. Amusia A. Z. Msezane V. R. Shaginyan |
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Affiliation: | a The Racah Institute of Physics, The Hebrew University, Jerusalem 91904, Israel b A.F. Ioffe Physical-Technical Institute, 194021, St. Petersburg, Russia c CTSPS, Clark Atlanta University, Atlanta, GA 30314, USA d Petersburg Nuclear Physics Institute, Gatchina 188300, Russia |
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Abstract: | The behavior of the specific heat cp, effective mass M*, and the thermal expansion coefficient 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 , , while the thermal expansion coefficient . Thus, the Grüneisen ratio Γ(T)=/cp 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 . 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 , M*∝1/T, and =a+bT with a,b being constants. Again, the Grüneisen ratio diverges as . |
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Keywords: | Author Keywords: Heavy-fermion metals Thermal expansion Grüneisen ratio |
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