Investigation of the field-tuned quantum critical point in CeCoIn$_5$

The main properties and the type of the field-tuned quantum critical point in the heavy-fermion metal CeCoIn$_5$ arisen upon applying magnetic fields $B$ are considered within the scenario based on the fermion condensation quantum phase transition. We analyze the behavior of the effective mass, resistivity, specific heat, charge and heat transport as functions of applied magnetic fields $B$ and show that in the Landau Fermi liquid regime these quantities demonstrate the critical behavior which is scaled by the critical behavior of the effective mass. We show that in the high-field non-Fermi liquid regime, the effective mass exhibits very specific behavior, $M^*\sim T^{-2/3}$, and the resistivity demonstrates the $T^{2/3}$ dependence. Finally, at elevated temperatures, it changes to $M^*\sim T^{-1/2}$, while the resistivity becomes linear in $T$. In zero magnetic field, the effective mass is controlled by temperature $T$, and the resistivity is also linear in $T$. The obtained results are in good agreement with recent experimental facts.