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A systematic comparison of three approximate self-interaction corrections(SICs), Perdew-Zunger SIC, Lundin-Eriksson SIC and extended Fermi-Amaldi SIC,is performed for a model Hamiltonian whose exact many-body solution and exactlocal-density approximation (LDA) are known. For each of the three proposals wecompare its implementation only for the potential, only for the energy, i.e., apost-LDA evaluation of the SIC energy), to none of them, i.e., a standard LDAcalculation) and to both. Each of the resulting 10 permutations ofmethodologies is applied to 420 Hubbard chains differing in size, particlenumber and interaction strength. A statistical analysis of the resulting dataset reveals trends and permits to assess the performance of each methodology.Overall, but not in each individual case, a post-LDA application ofPerdew-Zunger SIC emerges as the recommended methodology.

Comparison of three different self-interaction corrections for an exactly solvable model system