Intertwined spin, charge and pair correlations in the two-dimensional Hubbard model in the thermodynamic limit

TL;DR

This paper demonstrates that stripe-like spin and charge correlations persist in the thermodynamic limit of the Hubbard model and are intertwined with superconducting pair-density-wave correlations, providing insight into high-temperature superconductivity.

Contribution

It reveals the survival of fluctuating stripe correlations in the thermodynamic limit and their interplay with superconductivity in the Hubbard model.

Findings

Stripe correlations persist in the thermodynamic limit.

Evidence of pair-density-wave correlations intertwined with stripe order.

Stripe fluctuations influence superconducting properties.

Abstract

The high-temperature superconducting cuprates are governed by intertwined striped magnetic and charge orders in addition to superconductivity. Remarkably similar behavior has also been seen in numerical calculations for the Hubbard model describing the copper-oxygen layers in these materials. Finite cluster methods typically find that spin and charge stripe order dominates, while embedded quantum cluster methods, which access the thermodynamic limit, often conclude that superconductivity does. Here, we report the observation of fluctuating spin and charge stripes in an embedded cluster calculation for the Hubbard model. This discovery demonstrates that striped states survive in the thermodynamic limit and allows us to study their influence on the model's superconducting properties, where we find evidence for pair-density-wave correlations intertwined with the stripe correlations.