Abstract
A comparative study of the energy loss, mean free path and straggling of protons, positrons and electrons in an electron gas is performed using three dielectric models which represent the case of metals (Lindhard model for a free electron gas) and the cases of semiconductors and insulators (Levine and Louie model and Brandt and Reinheimer model for systems with a band gap). The properties of individual and collective contributions according to each model and for each of the particles are analyzed. In particular, the effects produced by the band gap of the material and by the properties of the incident particle are analyzed in detail. Significant differences related to the mass and to the indistinguishability (in the case of electrons) are described. Analytical expressions for the high-energy limit are derived in a simple way using the plasmon-pole approximation.
Similar content being viewed by others
References
J.C. Ashley, C.J. Tung, R.H. Ritchie, Surf. Sci. 81, 409 (1979)
A. Akkermann et al., Phys. Stat. Sol. B 198, 769 (1996)
J.M. Fernández-Varea, R. Mayol, D Liljequist, F. Salvat, J. Phys.: Condens. Matter 5, 3593 (1993)
A. Jablonsky, C.J. Powell, Surf. Sci. Rep. 47, 33 (2002)
J. Lindhard, K. Dan, Vidensk. Selsk., Mat.-Fys. Medd. 28, 1 (1954)
W. Brandt, J. Reinheimer, Phys. Rev. B 2, 3104 (1970)
W. Brandt, J. Reinheimer, Phys. Rev. B 4, 1395 (1971)
Z.H. Levine, S.G. Louie, Phys. Rev. B 25, 6310 (1982)
C.D. Archubi, N.R. Arista, Eur. Phys. J. B 89, 86 (2016)
J. Lindhard, A. Winther, K. Dan. Vidensk. Selsk., Mat.-Fys. Medd. 34, 1 (1964)
R. García-Molina, I. Abril, I. Kyriakou, D. Emfietzoglou, Surface and Interface Analysis (Wiley Online Library, 2016)
C.E. Celedón, G.H. Lantschner, N.R. Arista, Nucl. Instrum. Methods B 315, 21 (2013)
E. Bonderup, P. Hvelplund, Phys. Rev. A 4, 562 (1971)
R.H. Ritchie, Phys. Rev. 114, 644 (1959)
D. Pines, Elementary Excitations in Solids (W.A. Benjamin Inc., New York, 1964)
R.H. Ritchie, W. Brandt, P.M. Echenique, Phys. Rev. B 14, 4808 (1976)
P.M. Echenique, R.H. Ritchie, W. Brandt, Phys. Rev. B 20, 2567 (1979)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Archubi, C.D., Arista, N.R. A comparative study of threshold effects in the energy loss moments of protons, electrons and positrons using dielectric models for band-gap materials. Eur. Phys. J. B 90, 18 (2017). https://doi.org/10.1140/epjb/e2016-70637-9
Received:
Revised:
Published:
DOI: https://doi.org/10.1140/epjb/e2016-70637-9