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

2021/06/30 by Peizhi Mai, Seher Karakuzu, Giovanni Balduzzi +3
Materials Science · Physics and Astronomy · #Advanced Condensed Matter Physics #Charge (physics) #Cluster (spacecraft) #Condensed matter physics #Cuprate #Electron #Ground state #Hubbard model #Iron-based superconductors research #Limit (mathematics) #Monte Carlo method #Pairing #Physics #Physics of Superconductivity and Magnetism #Quantum Monte Carlo #Quantum mechanics #Spin (aerodynamics) #Statistical physics #Strongly correlated material #Superconductivity #Thermodynamic limit #Thermodynamics #cond-mat.str-el #cond-mat.supr-con

paper · pdf · doi:10.1073/pnas.2112806119

arxiv created 2022/02/09 · openalex publication_date 2022/02/09 · arxiv updated 2022/02/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

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. Finite-cluster 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 pair-density-wave correlations whose strength is correlated with that of the stripes.

Citations