Low Temperature Physics: 35, 702 (2009); https://doi.org/10.1063/1.3224729 (10 pages)
Fizika Nizkikh Temperatur: Volume 35, Number 8-9 (August 2009), p. 891-903    ( to contents , go back )

Treatment of low-temperature effects in metals and doped semiconductors on the basis of quantum electron liquid theory

V.I. Okulov

Institute of Metal Physics RAS, Ekaterinburg 620041, Russia
E-mail: okulov@imp.uran.ru

E.A. Pamyatnykh

Ural State University, Lenin ave., 51, Ekaterinburg 620083, Russia

and V.P. Silin

P.N. Lebedev Physical Institute, RAS, 53 Leninskiy prospekt, Moscow 119991, Russia
pos Анотація:

Received May 29, 2009

Abstract

The starting statements of the quantum electron liquid theory as the basis for theoretical description of the contribution of low-lying excited one-particle states of the electron system to the low-temperature properties of solids are formulated. This quantummechanical formulation does not define concretely the initially real one-particle basis, therefore it allows one to consider the role of electron–electron interaction under the conditions of orbital quantization and other important quantum phenomena. The derivation of the basic thermodynamic relations is briefly described and the formulas for electron specific heat, elastic modulus and magnetic susceptibility obtained in the framework of the Fermi-liquid approach without generally adopted model assumptions are given. The third section concerns the application of the theory in the problem of description of the role of electron–electron interaction in the thermodynamic phenomena in the systems with hybridized electron states, which are formed by the donor impurity resonance levels in the conduction band of a crystal. An equation for spontaneous localized spin magnetic moment in hybridized states is stated.

PACS: 72.20.Dp General theory, scattering mechanisms;
PACS: 72.20.Fr Low-field transport and mobility; piezoresistance;
PACS: 72.80.Ey III–V and II–VI semiconductors.

Key words: electron theory, electron liquid, electron specific heat, hybridized states.

Download 193731 byte View Contents