Electronic Structure of Bismuth Type Crystals

Abstract

A study is made of calculating the electronic energy bands in bismuth type crystals by making use of the Bloch method (with the inclusion of spin-orbit interaction) for the purpose of clarifing the relation between the low temperature diamagnetic susceptibility and the energy bands. The peculiar feature of the de Haas-van Alphen effect in bismuth type crystals (the small effective mass tensor) is explained by our calculated energy bands but the ordinary main term of the Landau-Peierls susceptibility expected from the energy bands is considerably small compared with the experimental value. Then, unlike Jones theory, the most part of the extraordinary large constant susceptibility seems to be attributed to the non-diagonal term which is usually neglected.