Exact Results for Spin and Charge Dynamics of Electrons with Supersymmetry
Abstract
Excitation spectra in the SU(
ν+1
,1) supersymmetric t-J model with long-range exchange and transfer has quadratic dependence on spin and charge currents for all energies. After brief review on the supersymmetry, this paper gives a simple explanation for the spin-charge separation on the basis of a first-quantized representation. A useful identity is derived on permutation properties of SU(
ν
) Jastrow-type wave functions, which constitute the ground states for a class of 1/
r
2
interaction models.