Abstract
The effect of the magnetic breakdown on the dHvAoscillation is studied by full-quantum numerical calculation for atwo-dimensional model. We demonstrate that the interference differenceoscillation, usually designated as β -α, exists even in thethermodynamic quantity; this result is contrary to the conventionalsemi-classical picture. In addition, the dependencies of variousoscillations of the magnetization on the field, temperature and bandgap are examined thoroughly and compared with the semi-classicaltheory by Falicov and Stachoviak, which is based on the Pippard'scoupled network model and the Lifshitz-Kosevich formula. We discussthe relevance of our calculation to the observed interferencedifference frequencies in the dHvA oscillation of magnesium and in theSdH oscillation of two-dimensional organic conductors.
