SPIN-CHARGE-SEPARATED LUTTINGER LIQUID IN A MAGNETIC-FIELD

The spin-charge-separated Luttinger liquid in arbitrary spatial dimens ions and in the applied external magnetic field is investigated within an exactly solvable model of correlated fermions. Exact eigenstates, eigen values, and correlation functions of this system are determined and its single-pseudoparticle properties are discussed. It is shown th at strongly correlated fermions of spin one-half and charge one, which are described by the present model, can be mapped onto a system of no ninteracting fermionlike pseudoparticles possessing continuous charge and spin. The charge and the spin of these pseudoparticles acquire arb itrary values between 0 and e and 0 and (H) over bar/2, respectively, when the magnetic field is varied. These pseudoparticles represent qua nta of exact elementary excitations in this system. [S0163-1829(98)035 07-3].