The magnetic properties of the Tb1−xLaxMnSi intermetallic compounds with x=0 and 0.5 have been investigated by magnetization measurements in the high magnetic fields up to 13T and in the pulse magnetic fields up to 35T in a broad temperature range for the purpose to explain the influence of the substitution of Tb by the non-magnetic La on their magnetic and crystalline properties. The X-ray phase analysis and the metallographic analysis have shown: the orthorhombic TiNiSi-type structure and the tetragonal CeFeSi-type structure for TbMnSi and for Tb0.5La0.5MnSi, respectively. Both the compounds exhibit a complex low temperature behavior due to the interplay of exchange and crystal field interactions. The field-induced metamagnetic transitions appear at high magnetic fields in these compounds, the value of magnetization approaches the value of Tb3+ free ion and increases again without saturation. The magnetic dilution is reflected in diminution of the transition temperature and “saturation magnetization” in Tb0.5La0.5MnSi.

Precision measurements of the Hall effect have been carried out for both archetypal heavy fermion compound - CeCu6 and exemplary solid solutions CeCu6-xAux (x= 0.1 and 0.2) with quantum critical behavior. The experimental results have been obtained by technique with a sample rotation in magnetic field in the temperature range 1.8-300K. The experiment revealed a complex activation type dependence of the Hall coefficient RH(T) in CeCu6 with activation energies Ea1/kB = 110K and Ea2/kB = 1.5K in temperature ranges 50-300K and 3-10K, respectively. Microscopic parameters of charge carriers transport (effective masses, relaxation time) and localization radii ap1,2* of heavy fermions (ap1*(T>50K)= 1.7 A and ap2*(T<20K)= 14 A) were estimated for CeCu6. The second angular harmonic contribution has been established in the Hall voltage of CeCu5.9Au0.1 and CeCu6 at temperatures below T*=24K. A hyperbolic type divergence of the second harmonic term in Hall effect RH2(T)= C(1/T-1/T*) at low temperatures is found to be accompanied with a power-law behavior RH(T)= T -0.4 of the main contribution in the Hall coefficient for CeCu5.9Au0.1 compound with quantum critical behavior.

High precision measurements of the Hall effect have been carried out for archetypal heavy fermion compound - CeAl3 in a wide range of temperatures 1.8-300K. For the first time a complex activated behavior of the Hall coefficient in CeAl3 with activation energies Ea1/kB=220K and Ea2/kB=3.3K has been observed in the temperature intervals 50-300K and 10-35K respectively. At temperatures below the maximum of the Hall effect T<Tmax=10K an asymptotic dependence RH(T)=exp(-Ea3/kBT) was found in CeAl3 with the value Ea3/kB=0.38K estimated from the experimental data. The temperature evolution of microscopic parameters (effective mass and localization radius) evaluated for the many-body states (heavy fermions) is discussed in terms of an electron-polaron states formation in vicinity of Ce-sites in the CeAl3 matrix.

The work presents experimental results of precision magnetoresistance dr(H,T) measurements obtained for canonical heavy fermion compounds CeAl2, CeAl3, CeCu6 and substitutional solid solutions CeCu6-xAux (x=0.1 and 0.2) and Ce(Al0.95M0.05)2 (M - Co, Ni). The research was performed in a wide range of temperatures (1.8-30K) and magnetic fields (up to 80 kOe). The data analysis indicates that the most consistent interpretation of magnetoresistance of both paramagnetic and magnetically ordered Ce-based systems with strong electron correlations can be obtained through the approach developed by K.Yosida (Phys.Rev., 107, 396(1957)) that considers charge carrier scattering on localized magnetic moments in metallic matrix. Within this approach local magnetic susceptibility hiloc(H,T0)=(1/H d(dr/r)/dH)1/2 has been estimated directly from the magnetoresistance data dr/r=f(H,T0). As a result, two additional contributions to magnetoresistance in Ce-based magnetic intermetallides have been established and classified. The procedure allowed to determine the peculiarities of magnetic phase ht diagram as well as to reveal the electron density of states renormalization effects in a wide vicinity of quantum critical point in the archetypal Ce-based systems with strong electron correlations.