Gossamer metals

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Laughlin's construction of exact gossamer ground states is applied to normal metals. We show that for each variational parameter 0<=g<=1, the paramagnetic or ferromagnetic Gutzwiller wave function is the exact ground state of an extended Hubbard model with correlated hopping, with arbitrary particle density, non-interacting dispersion, and lattice dimensionality. The susceptibility and magnetization curves are obtained, showing that the Pauli susceptibility is enhanced by correlations. The elementary quasiparticle excitations are gapless, except for a half-filled band at g=0, where a Mott transition from metal to insulator occurs.