Scaling Approach In Mixed Valent System And RKKY Interaction

In this work, a scaling description of the influence of RudermanKittelKasuyaYosida (RKKY) interaction on valence fluctuations in mixed-valent systems is carried out. A delicate balance between itinerant and localized magnetic moments is observed in mixed-valent materials that include rare-earth intermetallic compound materials. This work studies the scaling of magnetic susceptibility, specific heat, and the valence fluctuation with the Kondo coupling J and f-level energy e f · Using the concept of analytical modeling and numerical simulation, this work suggests that the magnetic susceptibility, specific heat, and valence fluctuation scale with an intensity of f-level energy e F · and Kondo coupling J. The findings provide that at low coupling (J=0.1eV), magnetic susceptibility is high (~ 0.89 emu/mol), dictated by RKKY interaction. When the Kondo coupling rises to J=0.6eV, susceptibility plunges (~0.28 emu/mol), and the coefficient of specific heat increases to 0.43 mJ/mol K 0.6 and to 1.26 mJ/mol K 0.8 clearly indicating a shift to a Kondo-dominated regime. The scaling exponents that are based on magnetic susceptibility are 0.98< 0 0.51, which indicates the constant crossover of magnetic behavior. The amplitude of the valence fluctuation is maximum at a ϵf leading to the Fermi and this affirms the strong nature of charge instability. These findings confirm the scaling of a successive strategy as a viable structure to describe quantum-critical behaviour and twofold nature of electron localisation within mixed-valent materials.