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Physical review. B, Condensed matter

Effective holon-holon interaction in the resonating-valence-bond state

Y. R. Wang

Published Aug 1, 1989• 9 citations
Publisher

Abstract

The effective holon-holon interaction mediated by the spinon background is derived in the framework of the resonating-valence-bond model. The interaction is present only after the spinons undergo a transition to a spin superfluid state and is attractive for the holon Cooper pairs. The latter property of the holon-holon interaction gives further support to the conjecture that the two-dimensional Hubbard model by itself in the large-U limit could lead to superconductivity.

DOI
10.1103/physrevb.40.2698

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Journal of Physics Condensed Matter•Jan 27, 1992•1 citation
The effective holon-holon interaction mediated by the spinon background is derived in the framework of the resonating-valence-bond model. The interaction is present only after the spinons undergo a transition to a spin superfluid state and is attractive for the holon Cooper pairs. The latter property of the holon-holon interaction gives further support to the conjecture that the two-dimensional Hubbard model by itself in the large-U limit could lead to superconductivity.
We study the effective interaction between fermionic holons mediated by bosonic spinons in stacked layers described by the t-J model with a hopping coupling between the layers. This interaction is provided by the holon-spinon interaction beyond mean-field theory. The effective four-holon interaction drives (1) pure in-plane holon pairing; (2) holon pairing in one plane, provided that there is pairing in the other; and (3) interlayer holon pairing. The latter pairing does not lead to physical interlayer hole pairing. We discuss the influence of the Coulomb repulsion between the holons on the pairing picture that we have obtained.
We show that the resonating valence bond (RVB) state of the t-J Hamiltonian can be described within an effective boson-fermion model. We derive a boson-fermion Hamiltonian which describes the lowest order coupling between holons and spinon waves. The RVB order parameter determines a hybridization between the both types of excitations. The effective Hamiltonian is investigated within the lowest order self-consistent conserving diagrammatic approximation. We compare our approach with the phenomenological boson--fermion model (BFM) that is believed to describe the pseudogap phase.