We present a new density-functional method of the self-consistentelectronic-structure calculation which does not exploit any local densityapproximations (LDA). We use the exchange-correlation energy which consists ofthe exact exchange and the correlation energies in the random-phaseapproximation. The functional derivative of the correlation energy with respectto the density is obtained within a static approximation. For transitionmetals, it is shown that the correlation potential gives rise to a largecontribution which has the opposite sign to the exchange potential. Resultingeigenvalue dispersions and the magnetic moments are very close to those ofLDA's and the experiments.
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