DHVA EFFECT WITH QUANTUM INTERFERENCE OSCILLATION DUE TO MAGNETIC BREAKDOWN

The effect of the magnetic breakdown on the dHvA oscillation is studie d by full-quantum numerical calculation for a two-dimensional model. W e demonstrate that the interference difference oscillation, usually de signated as beta-alpha, exists even in the thermodynamic quantity; thi s result is contrary to the conventional semi-classical picture. In ad dition, the dependencies of various oscillations of the magnetization on the held, temperature and band gap are examined thoroughly and comp ared with the semi-classical theory by Falicov and Stachoviak, which i s based on the Pippard's coupled network model and the Lifshitz-Kosevi ch formula. We discuss the relevance of our calculation to the observe d interference difference frequencies in the dHvA oscillation of magne sium and in the SdH oscillation of two-dimensional organic conductors.