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Communications in Theoretical Physics

Boson Mean Field Theory of Effective Holon-Holon Interaction in the RVB Model

Yongjun Liu, Jinming Dong, Chang-De Gong

Published Mar 1, 1991• 0 citations
Publisher

Abstract

The RVB model is investigated by a mean field theory, in which the holon is expressed by a fermion operator, and the spinon by a boson operator. The effective holon-holon interaction by exchanging the spinons is derived for . It is found that the interaction is attractive.
DOI
10.1088/0253-6102/15/2/149

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The interaction between the bosonic excitations as well as between the fermionic ones in the RVB systems with the (extended) Hubbard Hamiltonian were studied by means of the slave boson technique and the perturbation theory. The corresponding effective Hamiltonians have been found. It was shown, in particular, that in the RVB system with two interpenetrating sublattices there exists the effective attraction between two holons of different kinds as well as between two spinions of different kinds in the singlet state.
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.
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.