Using the renormalization-group approach proposed by Millis for the itinerant electron systems we calculated the specific-heat coefficient $\gamma \mathrm{}\left(T\right)\mathrm{}$ for the magnetic fluctuations with susceptibility ${\chi }^{-1}\sim {\delta }^{\alpha }+|\omega {|}^{\alpha }+f\left(q\right)\mathrm{}$ near the Lifshitz point. The constant value obtained for $\alpha =4/5\mathrm{}$ and the logarithmic temperature dependence, specific for the non-Fermi behavior, have been obtained in agreement with the experimental data.

• Received 20 April 1999

DOI:https://doi.org/10.1103/PhysRevB.61.3247