Competition between Antiferromagnetism and Superconductivity in High $T_c$ Cuprates

TL;DR

This study uses variational cluster perturbation theory to analyze the competition between antiferromagnetism and d-wave superconductivity in high-Tc cuprates, reproducing phase diagrams and excitation spectra consistent with experiments.

Contribution

It applies large-scale computational methods to model the phase competition in the Hubbard model, providing detailed predictions for experimental signatures.

Findings

Reproduces the ground state phase diagram of high-Tc cuprates.

Identifies signatures of the Mott gap, AF, and dSC in spectra.

Provides predictions for photoemission experiments.

Abstract

Using variational cluster perturbation theory we study the competition between d-wave superconductivity (dSC) and antiferromagnetism (AF) in the the t-t'-t''-U Hubbard model. Large scale computer calculations reproduce the overall ground state phase diagram of the high-temperature superconductors as well as the one-particle excitation spectra for both hole- and electron-doping. We identify clear signatures of the Mott gap as well as of AF and of dSC that should be observable in photoemission experiments.