
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

Abstract
Experimental studies of the antiferromagnetic (AF) heavy fermion
metal in a magnetic field B indicate the presence of a
jump in the Hall coefficient at a magneticfield tuned quantum state in the
zero temperature limit. This quantum state occurs at and
induces the jump even though the change of the magnetic field at B=B_{c0}
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 B_{c0} at which the
ordering temperature T_{N}(B=B_{c0}) of the AF transition vanishes. We show
that at B→ B_{c0}, 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=B_{c0}, 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 with S_{0}, a and
b are temperature independent constants.


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