Exact electron addition spectrum in 1D supersymmetric t–J model with interaction

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Abstract The electron addition spectrum A + ( k , ω ) is obtained analytically for the one-dimensional supersymmetric t–J model with 1 / r 2 interaction. The spectral function A + ( k , ω ) has a simple analytic form with contributions from one spinon, one holon and one antiholon all of which obey fractional statistics. The upper edge of A + ( k , ω ) in the ( k , ω ) plane includes a delta-function peak which reduces to that of the single-electron band in the low-density limit. This peak is interpreted as a result of spin-charge recombination. Our derivation relies on the ideas of Yangian highest weight states and Jack polynomials adapted to the SU(1,1) supersymmetry.

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