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Journal of Physical Studies 23(2), Article 2601 [4 pages] (2019)
DOI: https://doi.org/10.30970/jps.23.2601 THE SIZE OSCILLATIONS OF FERMI ENERGY OF METAL NANOFILMS WITH A PERIODICALLY MODULATED SURFACEA. V. Korotun, I. M. Titov Zaporizhia National Technical University, 64, Zhukovsky St., Zaporizhia, UA-69063, Ukraine |
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Quantum-dimensional effects, due to the quantization of the finite movements of conduction electrons across the film, play a significant role in nanometer metal films. In particular, there dimensional oscillations of the Fermi energy, which, in turn, contribute to the oscillation of the optical and electrophysical characteristics of metal 2D systems. In real conditions, the production of nanofilms with perfectly smooth surfaces is virtually impossible. STM Surface Surveys indicate the existence of a two-dimensional periodic relief.
The effect of the heterogeneities of a two-dimensional periodic surface on the dimensional energy oscillations of the Fermi energy of metal nanofilms for a small modulation amplitude has been investigated. Therefore, the calculation of the electron spectrum was carried out within the framework of the quantum-mechanical perturbation theory, and the operator of perturbation in the Hamiltonian is a consequence of the transition to a coordinate system associated with a perfectly smooth surface of the nanofilament. The dependence of the Fermi energy has been found on condition that the number of filled states and the number of conduction electrons in a bulk metal are equal. The calculations were performed for different values of the amplitude of modulation.
The features of dimensional dependence of the Fermi energy of the films of different metals were analyzed. It has been established that in the case of nanofilms with the periodic heterogeneity of the surface, the Fermi energy values are larger than for films with perfectly smooth surfaces, and with an increase in the thickness of the film, the amplitude of the oscillations of the Fermi energy goes to zero, while their period increases to infinity.
PACS number(s): 68.35.Ct, 73.20.At