Abstract
Using a supersymmetric representation of the Hubbard operator which unifies the slave boson and slave fermion representations into a single U(1)×SU(1|1) gauge theory, we discuss the physics of the infinite U Hubbard model. By looking for solutions to the Hamiltonian in which the spins can exist as both condensed ordered moments and as mobile charged carriers, we examine the possibility of a Nagaoka ferromagnetic phase at finite doping with a quantum critical point into the paramagnetic phase.
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