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Published January 15, 2016 | Published + Accepted Version + Supplemental Material
Journal Article Open

Ground-state phase diagram of the square lattice Hubbard model from density matrix embedding theory


We compute the ground-state phase diagram of the Hubbard and frustrated Hubbard models on the square lattice with density matrix embedding theory using clusters of up to 16 sites. We provide an error model to estimate the reliability of the computations and complexity of the physics at different points in the diagram. We find superconductivity in the ground state as well as competition between inhomogeneous charge, spin, and pairing states at low doping. The estimated errors in the study are below T_c in the cuprates and on the scale of contributions in real materials that are neglected in the Hubbard model.

Additional Information

© 2016 American Physical Society. Received 8 April 2015. Revised 22 December 2015. We acknowledge funding from the US Department of Energy, Office of Science, through Grants No. DE-SC0008624 and No. DE-SC0010530. This work was also performed as part of the Simons Collaboration on the Many Electron Problem, sponsored by the Simons Foundation. We thank Steven White and Shiwei Zhang for providing unpublished data and Emanuel Gull for helpful comments. We also thank Sandeep Sharma for discussion on implementing DMRG with broken particle number symmetry. Further discussion of the methodology and results can be found in Appendices.

Attached Files

Accepted Version - 1504.01784.pdf

Published - PhysRevB.93.035126.pdf

Supplemental Material - TDL.csv

Supplemental Material - clusters.csv

Supplemental Material - hubbard.pdf


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August 20, 2023
August 20, 2023