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We present a fully variational generalization of the pseudo self-interactioncorrection (VPSIC) approach previously presented in two implementations basedon plane-waves and atomic orbital basis set, known as PSIC and ASIC,respectively. The new method is essentially equivalent to the previous versionfor what concern the electronic properties, but it can be exploited tocalculate total-energy derived properties as well, such as forces andstructural optimization. We apply the method to a variety of test casesincluding both non-magnetic and magnetic correlated oxides and molecules,showing a generally good accuracy in the description of both structural andelectronic properties.

A variational pseudo-self-interaction correction approach: ab-initio description of correlated oxides and molecules