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Published April 15, 2014 | Published + Accepted Version
Journal Article Open

Intermediate and spin-liquid phase of the half-filled honeycomb Hubbard model


We obtain the phase diagram of the half-filled honeycomb Hubbard model with density matrix embedding theory, to address recent controversy at intermediate couplings. We use clusters from 2–12 sites and lattices at the thermodynamic limit. We identify a paramagnetic insulating state, with possible hexagonal cluster order, competitive with the antiferromagnetic phase at intermediate coupling. However, its stability is strongly cluster and lattice size dependent, explaining controversies in earlier work. Our results support the paramagnetic insulator as being a metastable, rather than a true, intermediate phase, in the thermodynamic limit.

Additional Information

© 2014 American Physical Society. Received 23 February 2014; revised manuscript received 7 April 2014; published 28 April 2014. We gratefully acknowledge S. Sorella and Y. Otsuka for providing the energy data from their QMC calculations. The main funding for this work was from the U.S Department of Energy, DE-SC0008624 and DE-SC0010530. Additional funding was provided through the DOE-CMCSN program DESC0006613 through support of G.K. Initial funding for Q.C. was provided by a seed grant from the NSF, MRSEC Award No. NSF-DMR 0819860.

Attached Files

Accepted Version - 1402.5622.pdf

Published - PhysRevB.89.165134.pdf


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August 20, 2023
August 20, 2023