ABSTRACT

The theory of superconductivity in degenerate semiconductors is based on the Bardeen, Cooper, and Schrieffer (BCS) theory. According to the BCS theory the mechanism causing superconductivity is the electron—lattice interaction attracts two electrons to one another to form a Cooper pair if the electron—lattice—electron interaction is larger than the repulsive Coulomb interaction between electrons. The peaks in the intravalley acoustical and optical phonon kernels contributes to the superconductivity, but because of the small size of kernels their contribution is very small and is therefore neglected. The intervalley phonon peaks gives a large contribution to the superconductivity and this contribution is evaluated by means of some approximations. Using the results of the calculations it is possible to encourage experimental searches for superconductivity in degenerate semiconductors and semimetals. Such measurements show whether superconductivity is a bulk property of a sample or only a property of a small part of a sample.