On the theoretical description of low-temperature effects in metals and doped semiconductors on the basis of the quantum theory of an electron liquid

A formulation of the initial principles of the quantum theory of an electron liquid as a basis for a theoretical description of the contribution of weakly excited single-particle states of an electronic system to the low-temperature properties of solids is presented. The present quantum-mechanical formulation, which leaves the real single-particle basis initially unspecified, makes it possible to study the role of the interelectronic interaction in the presence of orbital quantization and in circumstances where other quantum phenomena play a large role. A brief description is given of the derivation of the basic thermodynamic relations and expressions are given for the specific heat, elastic moduli, and magnetic susceptibility, all obtained on the basis of the Fermi-liquid approach without the conventionally used model assumptions. The application of the theory presented here to the description of the role of the interelectronic interaction in thermodynamic phenomena in systems with hybridized electronic states, formed by impurity donor resonance levels in the conduction band of a crystal, is examined. A formulation of an equation for the spontaneous localized spin magnetic moment in hybridized states is also presented. (C) 2009 American Institute of Physics. [doi: 10.1063/1.3224729]