Incommensurate Antiferromagnetism Coexisting with Superconductivity in Two-Dimensional d-p Model

TL;DR

This study uses variational Monte Carlo methods to investigate the coexistence of incommensurate antiferromagnetism and superconductivity in a two-dimensional three-band Hubbard model, aligning with experimental observations in cuprates.

Contribution

It provides new numerical evidence for the coexistence of antiferromagnetism and superconductivity in the d-p model using an advanced variational Monte Carlo approach.

Findings

Finite superconducting condensation energy at specific doping levels.

Phase diagram consistent with layered high-temperature cuprates.

Coexistence of antiferromagnetism and superconductivity confirmed.

Abstract

Numerical studies of the two-dimensional d-p model using the Gutzwiller ansatz have exhibited the incommensurate antiferromagnetic state coexisting with superconductivity in the under- and lightly doped regions. Our results are based on the variational Monte Carlo method for the three-band Hubbard model with d and p orbitals. We obtained the finite superconducting condensation energy for the coexistent sate at the doping rate $x=1/8$, 1/12, and 1/16, up to the systems of 256 unit cells with 768 atoms (oxygen and copper atoms). The phase diagram for the hole-doped case is consistent with recent results reported for layered high temperature cuprates.