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The dynamical spin structure factor S^{zz}(Q,omega) in the small momentumregion is derived analytically for the one-dimensional supersymmetric t-J modelwith 1/r^2 interaction. Strong spin-charge separation is found in the spindynamics. The structure factor S^{zz}(Q,omega) with a given spin polarizationdoes not depend on the electron density in the small momentum region. In thethermodynamic limit, only two spinons and one antispinon (magnon) contribute toS^{zz}(Q,omega). These results are derived via solution of the SU(2,1)Sutherland model in the strong coupling limit.Comment: 20 pages, 8 figures. Accepted for publication in J.Phys.

Exact spin dynamics of the 1/r2supersymmetrict–Jmodel in a magnetic field

Exact spin dynamics of the 1/r²supersymmetrict–Jmodel in a magnetic field