The loop algebra L(sl 2 ) symmetry is found in a sector of the nilpotent BazhanovStroganov model. The Drinfeld polynomial of a L(sl 2 )-degenerate eigenspace of the model is equivalent to the polynomial [4,5,[10][11][12][13][14] which characterizes a subspace with the Isinglike spectrum of the superintegrable chiral Potts model.
We obtain an exact many-body scattering eigenstate in an open quantum dot system. The scattering state is not in the form of the Bethe eigenstate in the sense that the wave-number set of the incoming plane wave is not conserved during the scattering and many-body bound states appear. By using the scattering state, we study the average nonequilibrium current through the quantum dot under a finite bias voltage. The current-voltage characteristics that we obtained by taking the two-body bound state into account is qualitatively similar to several known results.
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