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Three-dimensional oscillator in magnetic field: the de Haas-van Alphen effect in mesoscopic systems

N. K. Kuzmenko·V. M. Mikhajlov
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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 $10< N \leq 10^5$ 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 $\approx 20$; 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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N. K. Kuzmenko, V. M. Mikhajlov. 2004-01-30. Three-dimensional oscillator in magnetic field: the de Haas-van Alphen effect in mesoscopic systems. https://doi.org/10.1016/s0375-9601(03)00405-5

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