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arXiv:cond-mat/0607444 · Journal of Physics A Mathematical and General

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

Mitsuhiro Arikawa, Yasuhiro Saiga

Published Aug 9, 2006• 8 citations
arXivHTMLPDF

Abstract

The dynamical spin structure factor S zz ( Q , ω) 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 , ω) with a given spin polarization does not depend on electron density in the small momentum region. In the thermodynamic limit, only two spinons and one antispinon (magnon) contribute to S zz ( Q , ω). These results are derived via solution of the SU (2,1) Sutherland model in the strong coupling limit.

DOI
10.1088/0305-4470/39/34/001

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Thermodynamics is derived rigorously for the 1D supersymmetric {\it t-J} model and its SU(K,1K,1K,1) generalization with inverse-square exchange. The system at low temperature is described in terms of spinons, antispinons, holons and antiholons obeying fractional statistics. They are all free and make the spin susceptibility independent of electron density, and the charge susceptibility independent of magnetization. Thermal spin excitations responsible for the entropy of the SU(K,1K,1K,1) model are ascribed to free para-fermions of order K−1K-1K−1.
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