Skip to main content
SHARE
Research Highlight

Intertwined Spin, Charge, and Pair Density Wave Correlations in the Hubbard Model

Large-scale numerical calculations reveal fluctuating spin and charge stripes intertwined with pair-density-wave correlations in the doped Hubbard model. The results demonstrate that striped spin and charge density wave states survive in the Hubbard model in the thermodynamic limit and show how they affect the model’s superconducting behavior.

Large-scale dynamic cluster approximation (DCA) and determinantal quantum Monte Carlo (QMC) calculations were carried out for a Hubbard model, a minimal model of correlated electron materials, for different model parameters and analyzed for “striped” unidirectional modulations of the spin, charge, and pair density correlation functions. The results show that strong spin and charge stripes can coexist with superconducting correlations within a single numerical solution of the Hubbard model and thus resolve a decade-long conflict in conclusions drawn from different solutions.

DOI: 10.1073/pnas.2112806119