We studied the stability of a system consisting of a positron (e+) and two lithium anions, [Li-; e+; Li-], using first-principles quantum Monte Carlo calculations combined with the multi-component molecular orbital method. While diatomic lithium molecular dianions Li22- are unstable, we found that its positronic complex can form a bound state with respect to the lowest energy decay into the dissociation channel Li2- and a positronium (Ps). The [Li-; e+; Li-] system has the minimum energy at the internuclear distance of ∼3 Å, which is close to the equilibrium internuclear distance of Li2-. At the minimum energy structure both an excess electron and a positron are delocalized as orbiting around the Li2- molecular anion core. A dominant feature of such a positron bonding structure is described as the Ps fraction bound to Li2-, unlike the covalent positron bonding scheme for the electronically isovalent [H-; e+; H-] complex.
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