Quantum-Mechanical Calculation for Drude’s Absorption in Simple Metals

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  • Haga Eijiro
    Department of Applied Physics, Faculty of Engineering, Nagoya University
  • Aisaka Tsuyoshi
    Department of Applied Physics, Faculty of Engineering, Nagoya University

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The intrabant absorption of light for aluminium, sodium and potassium is calculated quantum-mechanically, starting from the current correlation formula. The results obtained are compared with both experimental data and the Drude’s formula. With regard to the electron-phonon coupling constant, the one found by the pseudo-potential method is used for aluminium and the Bardeen’s formula for sodium and potassium. The contribution from the Umklapp processes is estimated as exactly as possible, extending the Ziman’s treatment to the present case. The results obtained for aluminium and sodium are in good agreement with experimental data. The frequency dependence given by the theory agrees well with that by the Drude’s theory for the three metals. It is found that the contribution from the Umklapp processes is very large compared to that from the normal processes.

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