Nature of the spin liquid state of the Hubbard model on a honeycomb lattice

B. K. Clark, D. A. Abanin, Shivaji Lal Sondhi

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122 Scopus citations


Recent numerical work indicates the existence of a spin liquid (SL) phase that intervenes between the antiferromagnetic and semimetallic phases of the half filled Hubbard model on a honeycomb lattice. To better understand the nature of this exotic phase, we study the quantum J 1-J 2 spin model on the honeycomb lattice, which provides an effective description of the Mott insulating region of the Hubbard model. Employing the variational Monte Carlo approach, we analyze the phase diagram of the model. We find three phases-antiferromagnetic, an unusual Z 2 SL state, and a dimerized state with spontaneously broken rotational symmetry. We identify the Z 2 SL state as the likely candidate for the SL phase of the Hubbard model.

Original languageEnglish (US)
Article number087204
JournalPhysical review letters
Issue number8
StatePublished - Aug 17 2011

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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