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Optimized Effective Potential Method in Current-Spin Density Functional Theory | | S. Pittalis
; S. Kurth
; N. Helbig
; E.K.U. Gross
; | | Date: |
27 Sep 2006 | | Subject: | Materials Science | | Abstract: | Current-spin density functional theory (CSDFT) provides a framework to describe interacting many-electron systems in a magnetic field which couples to both spin- and orbital-degrees of freedom. Unlike in usual (spin-) density functional theory, approximations to the exchange-correlation energy based on the model of the uniform electron gas face problems in practical applications. In this work, explicitly orbital-dependent functionals are used and a generalization of the Optimized Effective Potential (OEP) method to the CSDFT framework is presented. A simplifying approximation to the resulting integral equations for the exchange-correlation potentials is suggested. A detailed analysis of these equations is carried out for the case of open-shell atoms and numerical results are given using the exact-exchange energy functional. For zero external magnetic field, a small systematic lowering of the total energy for current-carrying states is observed due to the inclusion of the current in the Kohn-Sham scheme. For states without current, CSDFT results coincide with those of spin density functional theory. | | Source: | arXiv, cond-mat/0609696 | | Services: | Forum | Review | PDF | Favorites | |
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