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Low-temperature specific-heat measurements on YbRh2Si2 at the second orderantiferromagnetic (AF) phase transition reveal a sharp peak at T_N=72 mK. Thecorresponding critical exponent alpha turns out to be alpha=0.38, which differssignificantly from that obtained within the framework of the fluctuation theoryof second order phase transitions based on the scale invariance, wherealpha=0.1. We show that under the application of magnetic field the curve ofthe second order AF phase transitions passes into a curve of the first orderones at the tricritical point leading to a violation of the criticaluniversality of the fluctuation theory. This change of the phase transition isgenerated by the fermion condensation quantum phase transition. Near thetricritical point the Landau theory of second order phase transitions isapplicable and gives alpha=1/2. We demonstrate that this value of alpha is ingood agreement with the specific-heat measurements.

Behavior of the antiferromagnetic phase transition near the fermion condensation quantum phase transition in YbRh2Si2