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[en] This is a theoretical study of the cold electron effect in a semiconductors under high electric field. This effect suggests that electron energy in a semiconductors is less than the lattice thermal energy. In order to do this study we will use the Chamber's distribution function and will assume that energy gained by the electron from the field is randomized during the electron scattering. It is assumed that the electron-electron scattering is predominant
[en] A theory of superconductivity is constructed for systems with two overlapping energy bands at the Fermi surface and with low carrier density. The phonon superconductivity mechanism is assumed and allowance is made for all possible pairings of electrons both within one band and of electrons from different bands. A bell-shaped dependence of the temperature Tc of the superconducting transition and a jump of the electron specific heat CSCN at T=Tc as a function of the carrier density are obtained in the case of strong hybridization. The possibility of an increase in the value of the chemical potential at which the kink at the point T=Tc arises is demonstrated. It is also shown that the relative jump (CS-CN)/CN of the specific heat at T=Tc depends on the carrier density and may be both greater or less than 1.43
[en] Highlights: • Gd1-xErxGe1.5 (0 ≤ x ≤ 1) were prepared by arc-melting. • Magnetic and thermodynamic properties of Gd1-xErxGe1.5 have been investigated. • The peaks due to magnetic ordering in specific heat were observed below 15 K for x ≥ 0.5. - Abstract: The specific heat C and the magnetization of Gd1−xErxGe1.5 were studied. From magnetization measurements, GdGe1.5 and ErGe1.5 showed antiferromagnetic ordering at the Néel temperatures TN of 29 K and 3 K, respectively. The jump in the C of Gd1−xErxGe1.5 due to the antiferromagnetic transition became small with increasing Er content, which is originated from the crystalline electric field effect and atomic randomness. Plots of C as a function of temperature for Gd1−xErxGe1.5 with x ≥ 0.5 exhibited a peak at temperatures below 15 K. These results suggest that TN could be controlled by substituting Er for Gd.