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Coordinate Representation of the One-Spinon One-Holon Wavefunction and Spinon-Holon Interaction

Bogdan A. Bernevig·Domenico Giuliano·Robert B. Laughlin
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Abstract

By deriving and studying the coordinate representation for the one-spinon one-holon wavefunction we show that spinons and holons in the supersymmetric $t - J$ model with $1/r^2$ interaction attract each other. The interaction causes a probability enhancement in the one-spinon one-holon wavefunction 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 wavefunction at zero separation. In the thermodynamic limit, the spinon-holon attraction turns into the square-root divergence in the hole spectral function.

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Bogdan A. Bernevig, Domenico Giuliano, Robert B. Laughlin. 2001-10-11. Coordinate Representation of the One-Spinon One-Holon Wavefunction and Spinon-Holon Interaction. https://doi.org/10.1103/physrevb.65.195112

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