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VOLUME 82 | ISSUE 4 | PAGE 234
Hall coefficient in heavy fermion metals
V. R. Shaginyan, K. G. Popov+, S. A. Artamonov

Petersburg Nuclear Physics Institute, RAS, 188300 Gatchina, Russia
+Komi Science Center, Ural Division, RAS, 167982 Syktyvkar, Russia

PACS: 71.10.Hf, 71.27.+a, 74.72.-h
Experimental studies of the antiferromagnetic (AF) heavy fermion metal \rm YbRh_2Si_2 in a magnetic field B indicate the presence of a jump in the Hall coefficient at a magnetic-field tuned quantum state in the zero temperature limit. This quantum state occurs at B\geq B_{c0} and induces the jump even though the change of the magnetic field at B=Bc0 is infinitesimal. We investigate this by using the model of heavy electron liquid with the fermion condensate. Within this model the jump takes place when the magnetic field reaches the critical value Bc0 at which the ordering temperature TN(B=Bc0) of the AF transition vanishes. We show that at B→ Bc0, this second order AF phase transition becomes the first order one, making the corresponding quantum and thermal critical fluctuations vanish at the jump. At T→0 and B=Bc0, the Grüneisen ratio as a function of temperature T diverges. We demonstrate that both the divergence and the jump are determined by the specific low temperature behavior of the entropy S(T)\propto S_0+a\sqrt{T}+bT with S0, a and b are temperature independent constants.

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