| Issue |
EPL
Volume 86, Number 4, May 2009
|
|
|---|---|---|
| Article Number | 40004 | |
| Number of page(s) | 5 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/86/40004 | |
| Published online | 05 June 2009 | |
On the scaling properties of the correlation term of the electron kinetic functional and its relation to the Shannon measure
Max-Planck-Institute for Polymer Research - Ackermannweg 10, D 55021 Mainz Germany, EU
Corresponding author: dellsite@mpip-mainz.mpg.de
Received:
6
April
2009
Accepted:
30
April
2009
In a previous work (Ghiringhelli L. M. and Delle Site L., Phys. Rev. B, 77 (2008) 073104) we have proposed a methodological approach to determine the electron correlations contained in the kinetic functional. Its application to the test case of an almost uniform interacting electron gas led to a local density functional of the form 
. In this work we discuss the interpretation of such a result by performing an analysis of the formal and numerical properties of the functional under the process of coordinates' scaling. On the basis of such an analysis we propose a local analytic form of the kinetic functional of which the previous numerical result is a first-order approximation.
PACS: 03.65.-w – Quantum mechanics / 71.10.-w – Theories and models of many-electron systems / 71.15.Mb – Density functional theory, local density approximation, gradient and other corrections
© EPLA, 2009
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