The effect of static many-body local-field corrections to inelastic electron scattering in condensed media

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[1] Emfietzoglou, Dimitris
[2] Kyriakou, Ioanna
[3] Garcia-Molina, Rafael
[4] Abril, Isabel
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| 1600年 / American Institute of Physics Inc.卷 / 114期
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We present a manageable approach to include; within the context of optical-data models of the dielectric response function; exchange and correlation (XC) effects in inelastic electron scattering; thus; going beyond the standard random-phase approximation (RPA). The many-body local-field correction in its static limit; G; (q); is employed to incorporate XC effects to all orders in q at both the level of screening and the level of scattering by computing the so-called test-charge-test-charge (t-t); electron-test-charge; (e-t); and electron-electron (e-e) dielectric functions. Some of the most used analytic approximations for G (q) are examined; ranging from the early Hubbard-like expressions to more recent parameterized formulations that satisfy some of the known asymptotic limits. The effect of the different G (q) models upon the inelastic scattering of low-medium energy electrons in condensed matter is examined using solid (amorphous) carbon as an example. It is shown that when XC corrections at all levels are considered; a net reduction of the inelastic scattering cross section by up to 20%-30% from the corresponding RPA value is obtained. Interestingly; a screened Hubbard approximation to G (q) reproduces (to a few %) the results of more accurate representations. Based on the present results; the controversial high-q asymptotic behaviour of G (q) is inconsequential to inelastic electron scattering in the examined energy range. © 2013 AIP Publishing LLC;
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