Error message

  • Deprecated function: Unparenthesized `a ? b : c ? d : e` is deprecated. Use either `(a ? b : c) ? d : e` or `a ? b : (c ? d : e)` in include_once() (line 1439 of /home/science2016/public_html/includes/bootstrap.inc).
  • Deprecated function: Array and string offset access syntax with curly braces is deprecated in include_once() (line 3557 of /home/science2016/public_html/includes/bootstrap.inc).

An effective electron-electron interaction in semi-infinite metal in the presence of external static electric field with taking into account the local field approximation

Markovych B., Zadvorniak I.
AttachmentSize
PDF icon 2016_3_1_090_096.pdf395.19 KB
Abstract: 
The electron-electron interaction in semi-infinite metal is considered. The influence of local field approximation and the influence of external static electric field strength on two-particle correlation function and effective potential of electron-electron interaction are investigated.
References: 
  1. Vavrukh M., Paslavskii V. Reference System Approach in the Electron Liquid Theory. Phys. Stat. Sol. B. 91, 208 (1998).
  2. Kostrobij P. P., Markovych B. M. Semi-infinite metal: perturbative treatment based on semi-infinite jellium. Condens. Matter Phys. 11, 641 (2008).
  3. Chakrav S., Fogel M., Kohn W. Dynamic response of inhomogeneous Fermi systems. Phys. Rev. Lett. 43, 775 (1979).
  4. Sahni V. Exchange charge density at metallic surfaces. Phys. Rev. B. 29, 1045 (1984).
  5. Eguiluz A. G., Kampbell D. A., Maradudin A. A, Wallis R. F. Static response of a jellium surface: The image potential and indirect interaction between two charges. Phys. Rev. Lett. 30, 5449 (1984).
  6. Kohn W., Mattsson A. E. Edge electron gas. Phys. Rev. Lett. 115, 3487 (1998).
  7. Ángyán J. G., Gerber I. C., Savin A., Toulouse J. Van der Waals forces in density functional theory: Perturbational long-range electron-interaction corrections. Phys. Rev. A. 72, 012510 (2005).
  8. Kanchukoev V. Z., Kashezhev A. Z., Mambetov A. H., Sozaev V. A. The influence of an electric field on the anisotropy of the surface energy of alkali metals alloys. JTF Lett. 27, 89 (2001).
  9. Zubarev N. M. Exact solutions for stationary profile of the liquid metal surface in the external Electric Field. JTF Lett. 25, 79 (1999).
  10. Guo W., Du S. X., Zhang Y. Y., Hofer W. A., Seidel C., Chi L. F., Fuchs H., Gao H.-J. Dynamic response of inhomogeneous Fermy systems. Surf. Sci. 603, 2815 (2009).
  11. Lang N. D., Kohn W. Theory of metal surfaces: charge density and surface energy. Phys. Rev. B. 1, 4555 (1970).
  12. Kostrobij P. P., Markovych B. M. An effective potential of electron-electron interaction in semi-infinite jellium. Condens. Matter Phys. 9, 747 (2006).
  13. Kostrobij P. P., Markovych B. M., Kazanovska O. Z. Preprint of the Institute for Condensed Matter Physics, ICMP-06-15U (2006).
  14. Gorobchenko V. D., Maksimov E. G. Dielectric permittivity of interacting electron gas. Physics-Uspekhi. 130, 65 (1980).
  15. Ichimaru S., Utsumi K. Analytic expression for the dielectric screening function of strongly coupled electron liquids at metallic and lower densities. Phys. Rev. B. 24, 7385 (1981).
  16. Vavruh M., Koval S., Tyshko N. Modelling of the short-range correlations in the degenerated electron systems. Visnyk LVIV UNIV. Ser Physic. 33, 7 (2000).
  17. Kittel C. Quantum theory of solids. John Wiley & Sons, Inc., New York, London (1963)
Bibliography: 
Math. Model. Comput. Vol.3, No.1, pp.90-96 (2016)