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Coordinate representation of the one-spinon one-holon wave function and spinon-holon interaction

2002; American Physical Society; Volume: 65; Issue: 19 Linguagem: Inglês

10.1103/physrevb.65.195112

1095-3795

B. Andrei Bernevig, Domenico Giuliano, R. B. Laughlin,

Quantum Chromodynamics and Particle Interactions

By deriving and studying the coordinate representation for the one-spinon one-holon wave function we show that spinons and holons in the supersymmetric $t\ensuremath{-}J$ model with ${1/r}^{2}$ interaction attract each other. The interaction causes a probability enhancement in the one-spinon one-holon wave function at short separation between the particles. We express the hole spectral function for a finite lattice in terms of the probability enhancement, given by the one-spinon one-holon wave function at zero separation. In the thermodynamic limit, the spinon-holon attraction turns into the square-root divergence in the hole spectral function.