Exact spin dynamics of the 1/r^2 supersymmetric t-J model in a magnetic field

Details Exact spin dynamics of the 1/r^2 supersymmetric t-J model in a magnetic field Exact spin dynamics of the 1/r^2 supersymmetric t-J model in a magnetic field

2006-07-18

arxiv.org/abs/cond-mat/0607444v1

J.Phys. A39 (2006) 10603-10621

Physics

Condensed Matter

Strongly Correlated Electrons

20 pages, 8 figures. Accepted for publication in J.Phys.A

Scientific paper

10.1088/0305-4470/39/34/001

The dynamical spin structure factor S^{zz}(Q,omega) in the small momentum region is derived analytically for the one-dimensional supersymmetric t-J model with 1/r^2 interaction. Strong spin-charge separation is found in the spin dynamics. The structure factor S^{zz}(Q,omega) with a given spin polarization does not depend on the electron density in the small momentum region. In the thermodynamic limit, only two spinons and one antispinon (magnon) contribute to S^{zz}(Q,omega). These results are derived via solution of the SU(2,1) Sutherland model in the strong coupling limit.

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