A dynamical mean-field theory study of stripe order and d-wave superconductivity in the two-dimensional Hubbard model

TL;DR

This study employs cellular dynamical mean-field theory to explore the coexistence of stripe order and d-wave superconductivity in the 2D Hubbard model, revealing their energetic favorability at finite doping.

Contribution

It introduces a detailed analysis of coexisting stripe magnetic order and d-wave superconductivity using extended unit cells in the Hubbard model.

Findings

Stripe order and d-wave superconductivity coexistence is energetically favored at finite doping.

Spatial profiles of order parameters vary with doping levels.

Coexistence states are more stable than uniform solutions in certain doping regimes.

Abstract

We use cellular dynamical mean-field theory with extended unit cells to study the ground state of the two-dimensional repulsive Hubbard model at finite doping. We calculate the energy of states with d-wave superconductivity coexisting with spatially uniform magnetic order and find that they are energetically favoured in a large doping region as compared to the uniform solution. We study the spatial form of the superconducting and magnetic order parameters at different doping values.