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

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

2001-10-11

arxiv.org/abs/cond-mat/0110233v1

Physics

Condensed Matter

Strongly Correlated Electrons

20 pages, 3 .eps figures

Scientific paper

10.1103/PhysRevB.65.195112

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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