dHvA Effect with Quantum Interference Oscillation due to Magnetic Breakdown

The effect of the magnetic breakdown on the dHvA oscillation is studied by full-quantum numerical calculation for a two-dimensional model. We demonstrate that the interference difference oscillation, usually designated as fi0ff, exists even in the thermodynamic quantity; this result is contrary to the conventional semi-classical picture. In addition, the dependencies of various oscillations of the magnetization on the field, temperature and band gap are examined thoroughly and compared with the semi-classical theory by Falicov and Stachoviak, which is based on the Pippard's coupled network model and the Lifshitz-Kosevich formula. We discuss the relevance of our calculation to the observed interference difference frequencies in the dHvA oscillation of magnesium and in the SdH oscillation of two-dimensional organic conductors. Key words: magnetic oscillation, magnetic breakdown, de Haas-van Alphen effect, Shubnikov-de Haas effect, organic conductors, interference difference oscillation ...