Spin-charge separated Luttinger liquid in arbitrary spatial dimensions

A model with a singular forward scattering amplitude for particles with opposite spins in d spatial dimensions is proposed and solved by using the bosonization transformation. This interaction potential leads to the spin-charge separation. Thermal properties at low temperature for this normal Luttinger liquid are discussed. Also, the explicit forms of the single-electron Green function and of the spectral weight function are found; they have square-root branch cuts. New fermion field operators are defined; they describe holons and spinons as the elementary excitations. Their single particle Green functions possess pseudoparticle properties. Using these operators the spin-charge separated Hamiltonian for ideal gases of holons and spinons is derived and reflects an inverse (fermionization) transformation. Copyright (C) 1996 Published by Elsevier Science Ltd.