Image-Potential States in Small Metal Particles
Abstract
Electron states near the surface of small metal particle caused by an image charge (image-potential states) have been investigated. The wave functions were calculated and the energy spectrum of these states was found depending on particle size. To estimate the influence of static magnetic field on the image-potential states the model problem, in which electron is localized on a surface of a sphere in uniform magnetic field was solved. In this case the field dependence of the energy levels represents a complex level crossing structure.
About the Authors
M. A. Fayzullin
Kazan State University
Russian Federation
Russian Federation
420008, Kremlyovskaya 18, Kazan
V. A. Zhikharev
Kazan State Technological University
Russian Federation
Russian Federation
420015, Karl Marks 68, Kazan
References
1. Straub D., Himpsel F. J. Phys. Rev. Lett. 52, 1922 (1984).
2. Himpsel F. J., Ortega J. E. Phys. Rev. B 46, 9719 (1992).
3. Yang S., Bartynski R.A., Kochanski G.P., Papdia S., Fonden T., Persson M. Phys. Rev. Lett. 70, 849 (1993).
4. Smolakov B.P., Solovarov I.K. JEТP 93, 1039 (1987).
5. Zhikharev V.A., Kessel A.R. Surface: Physics. Chemistry. Mechanics. 5, 13 (1988).
6. Rashba E.I., Sheka V.I. SSP 3, 1863 (1961).
7. Whittaker E.T., Watson G.N. in A course of modern analysis, edited by F.V. Shirokov (Editorial URSS, Moscow, 2002), p.279.
8. Kamke E. in Handbook of Ordinary Differential Equations, (Lan, St. Petersburg, 2003), p.124.
9. Gradshteyn I. S., Ryzhik I. M. in Tables of integrals, series and products, (Fizmatlit, Moscow, 1962), p.32.
10. Erdelyi A. in Asymptotic Expansions, (Fizmatgiz, Moscow, 1962).
11. Kim J.H., Vagner I.D., Sundaram B. Phys. Rev. B 46, 9501 (1992).
Review
For citations:
Fayzullin M.A., Zhikharev V.A. Image-Potential States in Small Metal Particles. Magnetic Resonance in Solids. 2007;9(2):1-5.
Views:
27
Email this article 