Abstract
The high-temperature superconducting cuprates are governed by intertwined spin, charge, and superconducting orders. While various state-of-the-art numerical methods have demonstrated that these phases also manifest themselves in doped Hubbard models, they differ on which is the actual ground state. Finitecluster methods typically indicate that stripe order dominates, while embedded quantum-cluster methods, which access the thermodynamic limit by treating long-range correlations with a dynamical mean field, conclude that superconductivity does. Here, we report the observation of fluctuating spin and charge stripes in the doped single-band Hubbard model using a quantum Monte Carlo dynamical cluster approximation (DCA) method. By resolving both the fluctuating spin and charge orders using DCA, we demonstrate that they survive in the doped Hubbard model in the thermodynamic limit. This discovery also provides an opportunity to study the influence of fluctuating stripe correlations on the model's pairing correlations within a unified numerical framework. Using this approach, we also find evidence for pairdensity- wave correlations whose strength is correlated with that of the stripes.
| Original language | English |
|---|---|
| Article number | e2112806119 |
| Journal | Proceedings of the National Academy of Sciences of the United States of America |
| Volume | 119 |
| Issue number | 7 |
| DOIs | |
| State | Published - Feb 15 2022 |
Funding
ACKNOWLEDGMENTS. We thank T. P. Devereaux, E. Huang, B. Moritz, and D. J. Scalapino for useful discussions. This work was supported by the Scientific Discovery through Advanced Computing program funded by the US Department of Energy (DOE), Office of Science, Advanced Scientific Computing Research and Basic Energy Sciences, Division of Materials Sciences and Engineering. This research used resources of the Oak Ridge Leadership Computing Facility, which is a DOE Office of Science User Facility supported under Contract DE-AC05-00OR22725. A part of the analysis of the results performed by T.A.M. was supported by the DOE, Office of Basic Energy Sciences, Materials Sciences and Engineering Division. This manuscript has been authored by UT-Battelle, LLC, under Contract DE-AC05-00OR22725 with the DOE. The US Government retains and the publisher, by accepting the article for publication, acknowledges that the US Government retains a nonexclusive, paid-up, irrevocable, worldwide license to publish or reproduce the published form of this manuscript, or allow others to do so, for US Government purposes. The DOE will provide public access to these results of federally sponsored research in accordance with the DOE Public Access Plan (http://www.energy.gov/downloads/doe-public-access-plan).
Keywords
- Dynamical cluster approximation
- Hubbard model
- Stripe