The Band Structure and Fermi Surface of Cadmium

Abstract

Calculation of the band structure and the Fermi surface of cadmium are carried out semiempirically on the basis of a k-independent pseudo-potential scheme. Three Fourier coefficients of the pseudo-potential are used as adjustable parameters. They are determined so as to make the calculated Fermi surface compatible with experimental results of magnetoacoustic and de Haas-van Alphen effects. The Fermi surface calculated with these parameters is slightly deformed from that calculated on a single orthogonalized plane wave model. The ‘monster’ has collapsed as the result of a pinching off of the horizontal arms, and possesses diagonal arms as the result that the ‘monster’ does not contact along the whole Brillouin zone edge, KH. The values of the effective masses and cyclotron masses of electrons on the ‘pillow’ are also calculated, and they agree fairly well with the cyclotron masses determined by Galt.