Cold atoms in optical lattices is the application of two formerly distinct
aspects of physics: quantum gases from atomic physics and laser theory from
quantum optics. Its use to simulate quantum phenomena and models in condensed
matter physics is a growing field. The major goal is to use cold fermonic atoms
in these superlattices for the simulations. We present here a theoretical
proposal for simulating a spin ordering model using fermions. We demonstrate
superexchange interaction in the double well and resonating valence bond (RVB)
states in kagome lattice which is important for understanding the CuO2 plane of
the superconducting cuprates and other magnetic frustrated materials.Comment: 10 page