Global Phase Diagram of the High Tc Cuprates

TL;DR

This paper introduces a bosonic quantum Hamiltonian model for high Tc cuprates that captures their complex phase diagram and explains various experimental observations through theoretical analysis and simulations.

Contribution

It presents a unified effective model derived from microscopic theories, using mean-field and Quantum Monte Carlo methods without sign problems.

Findings

The model reproduces key features of high Tc cuprates' phase diagram.

Different cuprate families correspond to different regions in the phase diagram.

The approach offers new predictions and experimental implications.

Abstract

The high Tc cuprates have a complex phase diagram with many competing phases. We propose a bosonic effective quantum Hamiltonian based on the projected SO(5) model with extended interactions, which can be derived from the microscopic models of the cuprates. The global phase diagram of this model is obtained using mean-field theory and the Quantum Monte Carlo simulation, which is possible because of the absence of the minus sign problem. We show that this single quantum model can account for most salient features observed in the high Tc cuprates, with different families of the cuprates attributed to different traces in the global phase diagram. Experimental consequences are discussed and new theoretical predictions are presented.