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  4. An effective interionic interaction in semi-infinite metal in the presence of external electrostatic field with taking into account the local field approximation

An effective interionic interaction in semi-infinite metal in the presence of external electrostatic field with taking into account the local field approximation

MMC.
2016;
Volume 3, Number 2
: pp. 177-182
https://doi.org/10.23939/mmc2016.02.177
Received: December 20, 2016

Math. Model. Comput. Vol. 3, No. 2, pp. 177-182 (2016)

Authors:
  1. B. Markovych
  2. I. Zadvorniak
1
Lviv Polytechnic National University
2
Lviv Polytechnic National University

An effective interionic potential in semi-infinite metal, which is located in the external electrostatic field is studied. An effect of the local field correction and the applied external electric field on the effective interionic potential is investigated.

effective interionic potential
electrostatic field
pseudopotential
semi-infinite metal
  1. van de Leemput L. E. C., van Kempen H. Scanning tunnelling microscopy. Rep. Prog. Phys. 55, 1165 (1992).
  2. Moriarty P. Nanostructured materials. Rep. Prog. Phys. 64, 297 (2001).
  3. Lang N. D., Kohn W. Theory of metal surfaces: charge density and surface energy. Phys. Rev. B. 1, 4555 (1970).
  4. Lang N. D., Kohn W. Theory of metal surfaces: work function. Phys. Rev. B. 3, 1215 (1971).
  5. Kiejna A. Stabilized jellium-simple model for simple-metal surfaces. Prog. Surf. Sci. 61, 85 (1999).
  6. Fiolhais C., Henriques C., Sarrı́a I., Pitarke J. M. Metallic slabs: perturbative treatments on based on jellium. Prog. Surf. Sci. 67, 285 (2001).
  7. Rose J. H., Dobson J. F. Face dependent surface energies of simple metals. Solid State Comm. 37, 91 (1981).
  8. Dobson J. F., Rose J. H. Surface properties of simple metals via inhomogeneous linear electronic response. I. Theory. J. Phys. C. 15, 7429 (1982).
  9. Dobson J. F., Harris G. H. Static electronic susceptibility of the Lang-Kohn jellium surface. Phys. Rev. B. 27, 6542 (1983).
  10. Kostrobij P. P., Markovych B. M., Kazanovska O. Z. An effective interionic potential for a semi-infinite metal. Preprint ICMP-06-16U (2016), (in Ukrainian).
  11. Kostrobij P. P., Markovych B. M. Semi–infinite metal: perturbative treatment based on semi–infinite jellium. Condens. Matter Phys. 11, 641 (2008).
  12. Kostrobij P. P., Markovych B. M. Semi-infinite metal: thermodynamic potential and effective interionic pair potentials. AIP Conference Proceedings. 1198, 78 (2009).
  13. Gorobchenko V. D., Maksimov E. G. Dielectric permittivity of interacting electron gas. Physics-Uspekhi. 130, 65 (1980).
  14. Ichimaru S., Utsumi K. Analytic expression for the dielectric screening function of strongly coupled electron liquids at metallic and lower densities. Physical Review B. 24, 7385 (1981).
  15. Markovych B., Zadvorniak I. Investigation of the influence of external static electric field on electronic structure of semi-infinity metal. Fizyko-matematychne modelyuvannya ta informatsiyni tekhnolohiyi, 17, 120–130 (2013), (in Ukrainian).
  16. Kostrobij P. P., Markovych B. M., Kazanovska O. Z. Density-response function of semi-infinite electron gas with account local-field correction function. Preprint ICMP-06-15U (2016), (in Ukrainian).
  17. Krasko G. L., Gurskij Z. A. About some model pseudo-potential. Lett. JETP. 9, 596 (1969).
  18. Krasko G. L., Gurskij Z. A. Modeled pseudo-potential and some atomic properties of alkaline metals. Doklady. 197, 810 (1971).