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A combined density functional theory and functional renormalization groupmethod is introduced which takes into account orbital-dependent interactionparameters to derive the effective low-energy theory of weakly tointermediately correlated Fermi systems. As an application, the competingfluctuations in LiFeAs are investigated, which is the main representative ofthe 111 class of iron pnictides displaying no magnetic order, butsuperconductivity, for the parent compound. The superconducting order parameteris found to be of s+- type driven by collinear antiferromagnetic fluctuations.They eventually exceed the ferromagnetic fluctuations stemming from the smallhole pocket at the Gamma point, as the system flows to low energies.

From density functional theory to the functional renormalization group: superconductivity in the iron pnictide LiFeAs