Abstract
The theoretical investigation of the cluster de Haas–van Alphen (dHvA) oscillations in three-dimensional systems performed for the first time. Applying a three-dimensional oscillator model to systems with electron numbers 10< N⩽10 5 we predict distinctive size effects: the dHvA oscillations can be observed only within a certain temperature range determined by N; the lower size limit for N is ≈20; the amount of the dHvA oscillations is reduced with decreasing N which is accompanied by stretching the period of the oscillations.
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