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We study the competition between unconventional superconducting pairing andcharge density wave (CDW) formation for the two-dimensional Edwards Hamiltonianat half filling, a very general two-dimensional transport model in whichfermionic charge carriers couple to a correlated background medium. Using theprojective renormalization method we find that a strong renormalization of theoriginal fermionic band causes a new hole-like Fermi surface to emerge near thecenter of the Brillouin zone, before it eventually gives rise to the formationof a charge density wave. On the new, disconnected parts of the Fermi surfacesuperconductivity is induced with a sign-changing order parameter. We discussthese findings in the light of recent experiments on iron-based oxypnictidesuperconductors.

Unconventional superconductivity and interaction induced Fermi surface reconstruction in the two-dimensional Edwards model