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Fermi energy of electrons in a thin metallic plate

Abstract

A strict analytical expression for the Fermi energy of electrons in a thin metallic plate as a function of the plate thickness at a given electron density has been derived for the first time. The derivation has been carried out taking into account the size quantization in the free-electron approximation at zero temperature.

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Correspondence to V. D. Dymnikov.

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Original Russian Text © V.D. Dymnikov, 2011, published in Fizika Tverdogo Tela, 2011, Vol. 53, No. 5, pp. 847–852.

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Dymnikov, V.D. Fermi energy of electrons in a thin metallic plate. Phys. Solid State 53, 901–907 (2011). https://doi.org/10.1134/S106378341105009X

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Keywords

  • Fermi Energy
  • Plate Thickness
  • Macroscopic Characteristic
  • Metallic Plate
  • Jellium Model