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

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.

20 pages, 3 .eps figures

References in corpus (2)

• Electron Addition Spectrum in the Supersymmetric t-J Model with Inverse-Square Interaction
• Spinon-Holon Attraction in the Supersymmetric t-J Model with 1/r^2-Interaction

Cited by in corpus (6)

• Full counting statistics in the Haldane-Shastry chain
• Is there an attraction between spinons in the Haldane--Shastry model?
• Binding of holons and spinons in the one-dimensional anisotropic t-J model
• Color-charge separation in trapped SU(3) fermionic atoms
• Spinon-holon interactions in an anisotropic t-J chain: a comprehensive study
• Exact two-holon wave functions in the Kuramoto-Yokoyama model