Effective-field theory for high-$T_c$ cuprates

TL;DR

This paper introduces a unified effective field theory model for high-$T_c$ cuprates, capturing their phase diagram features by simplifying the CuO$_2$ planes to three valence states with distinct spins and symmetries.

Contribution

It develops a novel non-BCS effective field theory model based on a minimal CuO$_2$ plane model with three valence centers, providing a unified description of doped cuprates.

Findings

Successfully describes main features of cuprate phase diagrams

Provides a non-BCS theoretical framework

Simplifies complex electronic interactions into an effective field model

Abstract

Starting with a minimal model for the CuO$_2$ planes with the on-site Hilbert space reduced to only three effective valence centers [CuO$_4$]$^{7-,6-,5-}$ (nominally Cu$^{1+,2+,3+}$) with different conventional spin and different orbital symmetry we propose a unified non-BCS model that allows one to describe the main features of the phase diagrams of doped cuprates within the framework of a simple effective field theory.