Topological Gauge Structure and Phase Diagram for Weakly Doped Antiferromagnets

TL;DR

This paper presents a phase diagram for weakly doped antiferromagnets based on topological gauge structures, highlighting the roles of holon and spinon confinement and deconfinement, with a quantum critical point at low doping.

Contribution

It introduces a topological gauge theory framework to explain the phase diagram and quantum criticality in weakly doped antiferromagnets within the t-J model.

Findings

Identification of a quantum critical point at doping x_c ≈ 0.043.

Description of dual confinement and deconfinement of holons and spinons.

Agreement with complex experimental phase diagrams at low doping.

Abstract

We show that the topological gauge structure in the phase string theory of the {\rm t-J} model gives rise to a global phase diagram of antiferromagnetic (AF) and superconducting (SC) phases in a weakly doped regime. Dual confinement and deconfinement of holons and spinons play essential roles here, with a quantum critical point at a doping concentration $x_c\simeq 0.043$. The complex experimental phase diagram at low doping is well described within such a framework.