R A Lippert et al 2006 J. Phys.: Condens. Matter 18 4295 doi:10.1088/0953-8984/18/17/016
The optimized effective potential with finite temperature
R A Lippert1, N A Modine2 and A F Wright2
Show affiliationsThe optimized effective potential (OEP) method provides an additional level of exactness in the computation of electronic structures, e.g. the exact exchange energy can be used. This extra freedom is likely to be important in moving density functional methods beyond traditional approximations such as the local density approximation. We provide a new density-matrix-based derivation of the gradient of the Kohn–Sham energy with respect to the effective potential. This gradient can be used to iteratively minimize the energy in order to find the OEP. Previous work has indicated how this can be done in the zero temperature limit. This paper generalizes the previous results to the finite temperature regime. Equating our gradient to zero gives a finite temperature version of the OEP equation.
- PACS
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71.15.Mb Density functional theory, local density approximation, gradient and other corrections
71.45.Gm Exchange, correlation, dielectric and magnetic response functions, plasmons
- Subjects
- Dates
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Issue 17 (3 May 2006)
Received 11 October 2005
Published 13 April 2006
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The optimized effective potential with finite temperature
R A Lippert et al 2006 J. Phys.: Condens. Matter 18 4295
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-
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