Duality picture between antiferromagnetism and d-wave superconductivity int-J model at two dimensions

We show in this paper an interesting relation between elementary and topolo gical excitations in the antiferromagnetic and d-wave superconducting phase s of the t-J model at two dimensions. The topological spin and charge excit ations in one phase have the same dynamics as elementary excitations in the other phase, except the appearance of energy gaps. Moreover, the transitio n from one phase to another can be described as a quantum disordering trans ition associated with the topological excitations. Based on the above pictu re, a plausible phase diagram of t-J model is constructed.