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Exact Charge Dynamics in the Supersymmetric t-J Model with Inverse-Square Interaction

Mitsuhiro Arikawa·Takashi Yamamoto·Yasuhiro Saiga·Yoshio Kuramoto
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Abstract

Dynamical charge structure factor $N(Q,ω)$ with $Q$ smaller than the Fermi wave number is derived analytically for the one-dimensional supersymmetric t-J model with $1/r^2$ interaction. Strong spin-charge separation in dynamics is found. $N(Q,ω)$ with given electron density does not depend on the spin polarization for arbitrary size of the system. In the thermodynamic limit, only two holons and one antiholon contribute to $N(Q,ω)$. These results together with generalized ones for the SU($K$,1) supersymmetric t-J model are derived via solution of the Sutherland model in the strong coupling limit.

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Mitsuhiro Arikawa, Takashi Yamamoto, Yasuhiro Saiga, Yoshio Kuramoto. 1999-07-26. Exact Charge Dynamics in the Supersymmetric t-J Model with Inverse-Square Interaction. https://doi.org/10.1143/jpsj.68.3782

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