Mean-field equations with combined spinon and holon pairings in the t-J model

Tai Kai Ng

Tzanko Ivanov

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.

Sanjoy Kumar Sarker, H. R. Krishnamurthy, Ciriyam Jayaprakash +1 more

Sadao Nakajima, Minoru Sato, Yoshimasa Murayama

Mean field approximation is applied to nonlinear equations of motion in the holon-spinon operator formalism proposed previously. A simple interpolation scheme, which looks very much like the conventional band theory, is thus established between insulating and metallic limits of the tJ model. The transport equation of the normal state is given and critical temperatures of S -wave and D -wave superconducting states are calculated.

Yongjun Liu, Jinming Dong, Chang-De Gong

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.

Jurij Šmakov, A. L. Chernyshev, Steven White