Theory of doped Mott insulators: duality between pairing and magnetism

TL;DR

This paper develops a duality-based theoretical framework for doped Mott insulators, linking pairing and magnetism, and offers insights into high-temperature superconductivity and predictions for hexagonal lattice systems.

Contribution

It introduces an exact bosonization of the 2D t-J model revealing a duality between Cooper pair and spin condensates, advancing the understanding of high-$T_c$ superconductivity.

Findings

Mutual Berry phase links pairing and magnetism.

Provides natural explanations for high-$T_c$ phenomena.

Predicts behaviors for hexagonal lattice systems.

Abstract

By bosonizing the electronic t-J model exactly on any two-dimensional (2D) lattices, and integrating out the gauge fluctuations combined to slave particles beyond mean fields, we get a theory in terms of physical Cooper pair and spin condensates. In the sense of mutual Berry phase they turns out to be dual to each other. The mutual-duality is the missing key in the resonant-valance-bond idea\cite{rvb} to work as a paradigm of doped 2D Mott insulators. We argue that essential aspects of high-$T_c$ phenomenology find natural solutions in the theory. We also provide interesting predictions for systems on hexagonal lattices.