Gossamer Superconductivity near Antiferromagnetic Mott Insulator in Layered Organic Conductors

Layered organic superconductors are on the verge of the Mott insulator. We use the Gutzwiller variational method to study a two-dimensional Hubbard model including a spin exchange coupling term as a minimal model for the compounds. The ground state is found to be a Gossamer superconductor at small on-site Coulomb repulsion $U$ and an antiferromagnetic Mott insulator at large $U$, separated by a first order phase transition. Our theory is qualitatively consistent with major experiments reported in organic superconductors.