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We demonstrate an exact local transformation which maps a purely Fermionicmanybody system to a system of spinfull Bosons and spinless Fermions,demonstrating a possible path to a non-Fermi liquid state. We apply this to thehalf-filled Hubbard model and show how the transformation maps the ordinaryspin half Fermionic degrees of freedom exactly and without introducing Hilbertspace constraints to a charge-like ``quasicharge'' fermion and a spin-like``quasispin'' Boson while preserving all the symmetries of the model. Wepresent approximate solutions with localized charge which emerge naturally fromthe Hubbard model in this form. Our results strongly suggest that charge tendsto remain localized for large values of the Hubbard U

physical review letters

Exact Transformation for Spin-Charge Separation of Spin-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:math>Fermions without Constraints

Exact Transformation for Spin-Charge Separation of Spin-1/2Fermions without Constraints