done with conclusion
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Unlike any standard functional, eLDA incorporates derivative
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Unlike any standard functional, eLDA incorporates derivative
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discontinuities through its weight dependence. The latter originates
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discontinuities through its weight dependence. The latter originates
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from the finite uniform electron gas on which eLDA is
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from the finite uniform electron gas on which eLDA is
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(partially) based. The KS-eLDA scheme, where exact \manu{individual
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(partially) based. The KS-eLDA scheme, where exact individual
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exchange energies are}
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exchange energies are
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combined with \manu{the eLDA correlation functional}, delivers accurate excitation energies for both
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combined with the eLDA correlation functional , delivers accurate excitation energies for both
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single and double excitations, especially when an equiensemble is used.
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single and double excitations, especially when an equiensemble is used.
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In the latter case, the same weights are assigned to each state belonging to the ensemble.
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In the latter case, the same weights are assigned to each state belonging to the ensemble.
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The improvement on the excitation energies brought by the KS-eLDA scheme is particularly impressive in the strong correlation regime where usual methods, such as TDLDA, fail.
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The improvement on the excitation energies brought by the KS-eLDA scheme is particularly impressive in the strong correlation regime where usual methods, such as TDLDA, fail.
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