energy of the system through the contribution of correlation energy, compared to FFLO where pairing is one-to-one so not all the fermions on the majority spin-species are involved, presenting an opportunity to variationally include additional fermion states. Therefore, the optimal ratio of majority to minority spin fermions in the communal pairing phase is naturally predicted to be the ratio of the densities of states in momentum space at the Fermi surface, ${N_\uparrow}/{N_\downarrow}={\nu_{\uparrow}}/{\nu_{\downarrow}}$ [@commupair].

While the formulation of BCS theory was preceded by the experimental observations of Onnes in 1911 [@Onnes1; @Onnes2], observation of spatially non-uniform pairing superconducting states in spin-imbalanced systems remains an experimental challenge despite considerable effort across a wide range of physical systems, including heavy fermion systems [@ffloexpthf], iron-based superconductors [@ffloexptfe1; @ffloexptfe2; @ffloexptfe3; @ffloexptfe4], asymmetric $d$-wave superfluids [@ffloexptdw], layered organic superconductors [@ffloexptorg1; @ffloexptorg2; @ffloexptorg3; @ffloexptorg4], layered superconductor-ferromagnet hybrid structures [@ffloexptsflayer], quasicrystals [@ffloquasicrys] and ultracold atomic gases [@ffloexptopt1; @ffloexptopt2].

Organic superconductors in particular have been a key system of interest, emerging as the leading candidate for observation of spatially modulated superconductivity owing to their crystals growing relatively cleanly and thus granting the superconducting pairs a long mean free path compared to their coherence length [@ffloorg], their high degree of 