Il Nuovo Cimento D

, Volume 2, Issue 4, pp 1187–1202 | Cite as

Static response to a charge impurity near a metal surface finite-barrier treatment

  • G. Fano
  • A. Magnaterra
Article
  • 16 Downloads

Summary

The static response to a charge impurity near a metal surface is computed in the RPA approximation for the case of a finite barrier. Particular attention is given to the problem of the correct infinite-volume limit and to the contribution of the one-particle states with energy higher than the potential barrier, which has been found to be not negligible. An integral equation for the self-consistent potential is derived and solved numerically. Results for Na and Zn are exhibited, showing remarkable difference with respect to the infinite-barrier case.

PACS. 73.20

Electronic surface states 

Riassunto

La risposta statica ad un'impurezza di carica in prossimità della superficie di un metallo è calcolata nell'approssimazione delle fasi a caso (RPA) nel caso di una barriera finita. Sono trattati con particolare cura i problemi del corretto limite di volume infinito e del contributo degli stati ad una particella con energia superiore alla barriera di potenziale, contributo che risulta non trascurabile. Si deriva e risolve numericamente un'equazione integrale per il potenziale autoconsistente. Sono presentati i risultati per Na e Zn, da cui si può rilevare una notevole differenza rispetto al caso della barriera infinita.

Резюме

В случае конечного барьера в приближении случайных фаз вычисляется статический отклик на заряженную примесь вблизи металлической поверхности. Особое внимание уделяется проблеме корректного предела бесконечного объема и вкладу одно-частичных состояний с энергией выше потенциального барьера, который, как получено, не является пренебрежимо малым. Выводится интегральное уравнение для самосогласованного потенциала и решается численно. Полученные результаы для Na и Zn обнаруживают значительное различие с результатами для случая бесконечного барьера.

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Copyright information

© Società Italiana di Fisica 1983

Authors and Affiliations

  • G. Fano
    • 1
    • 2
  • A. Magnaterra
    • 1
    • 3
  1. 1.Istituto di FisicaFerrara
  2. 2.Istituto Nazionale di Fisica NucleareBologna
  3. 3.Gruppo Nazionale di Struttura della MateriaFerrara

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