Properties of image-potential-induced surface states of insulators

Milton W. Cole

Research output: Contribution to journalArticle

164 Citations (Scopus)

Abstract

The strongly repulsive interaction between electrons and He or Ne atoms, or H2 molecules, gives rise to the existence of electronic states localized near a condensed medium consisting of such units. The attractive image potential binds the electrons weakly near the surface; the binding energy ranges from 0.4 meV for liquid He3 to 22 meV for solid D2. Motion parallel to the surface is nearly free-electron-like. An exploration of the interaction between electrons and oscillations of the medium's surface reveals a breakdown in perturbation theory which may be remedied by correct treatment of long-wavelength oscillations. A determination is made of the temperature-dependent mobility of electrons for fields parallel to the surface. We find that the surface waves scatter more for the liquid than for the solid. A transition occurs in the mobility as the temperature increases to a point where scattering by atoms of the vapor becomes dominant over other mechanisms. A second transition occurs when the electron in the vapor becomes localized in the bubble state, and the present treatment loses its validity.

Original languageEnglish (US)
Pages (from-to)4239-4252
Number of pages14
JournalPhysical Review B
Volume2
Issue number10
DOIs
StatePublished - Jan 1 1970

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insulators
electrons
vapors
oscillations
liquids
free electrons
surface waves
atoms
bubbles
perturbation theory
breakdown
binding energy
interactions
temperature
scattering
electronics
wavelengths
molecules

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics

Cite this

Cole, Milton W. / Properties of image-potential-induced surface states of insulators. In: Physical Review B. 1970 ; Vol. 2, No. 10. pp. 4239-4252.
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Properties of image-potential-induced surface states of insulators. / Cole, Milton W.

In: Physical Review B, Vol. 2, No. 10, 01.01.1970, p. 4239-4252.

Research output: Contribution to journalArticle

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