Spin-charge decoupling and orthofermi quantum statistics - art. no. 132405

Currently Gutzwiller projection technique and nested Bethe ansatz are two m ain methods used to handle electronic systems in the U infinity limit. We d emonstrate that these two approaches describe two distinct physical systems . In the nested Bethe ansatz solutions, there is a decoupling between the s pin and charge degrees of freedom. Such a decoupling is absent in the Gutzw iller projection technique. Whereas in the Gutzwiller approach, the usual a ntisymmetry of space and spin coordinates is maintained, we show that the B ethe ansatz wave function is compatible with a form of quantum statistics, viz., orthofermi statistics. In these statistics, the wave function is anti symmetric in spatial coordinates alone. This feature ultimately leads to sp in-charge decoupling.