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

TL;DR

This paper explores a duality between antiferromagnetism and d-wave superconductivity in the two-dimensional t-J model, revealing topological and elementary excitation relations and proposing a phase diagram based on quantum disordering transitions.

Contribution

It introduces a duality framework linking topological and elementary excitations across phases in the t-J model, offering a new perspective on phase transitions.

Findings

Topological excitations mirror elementary excitations in different phases.

Transition between phases can be viewed as a quantum disordering transition.

A plausible phase diagram for the t-J model is proposed.

Abstract

We show in this paper an interesting relation between elementary and topological excitations in the antiferromagnetic and d-wave superconducting phases of the t-J model at two dimenions. The topological spin and charge excitations in one phase have the same dynamics as elementary excitations in the other phase, except the appearance of energy gaps. Moreover, the transition from one phase to another can be described as a quantum disordering transition associated with the topological excitations. Based on the above picture, a plausible phase diagram of t-J model is constructed.