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Spin-Liquid Phase in the Hubbard Model on the Honeycomb Lattice

In: High Performance Computing in Science and Engineering '10

Author

Listed:
  • Z. Y. Meng

    (Universität Stuttgart, Institut für Theoretische Physik III)

  • T. C. Lang

    (Universität Würzburg, Institut für Theoretische Physik und Astrophysik)

  • S. Wessel

    (Universität Stuttgart, Institut für Theoretische Physik III)

  • F. F. Assaad

    (Universität Würzburg, Institut für Theoretische Physik und Astrophysik)

  • A. Muramatsu

    (Universität Stuttgart, Institut für Theoretische Physik III)

Abstract

The Hubbard model encapsulates the physics of strongly correlated quantum systems in its most basic form. It has been studied intensively in the context of the high-temperature superconductivity. A number of novel phases were recently proposed for Hubbard-like models on the honeycomb lattice, the structure of graphene. We analyzed the Hubbard model of spin- $\frac{1}{2}$ fermions on the honeycomb lattice at half-filling using large-scale quantum Monte Carlo simulations. We find that the weak coupling semimetal and the antiferromagnetic Mott insulator at strong interaction are separated by an extended gapped phase in an intermediate coupling regime. Exploring excitation gaps, various correlation functions as well as probing for flux quantization, we conclude that a quantum spin liquid, lacking any conventional order, emerges with local charge and spin correlations, best described by a resonating valence bonds state.

Suggested Citation

  • Z. Y. Meng & T. C. Lang & S. Wessel & F. F. Assaad & A. Muramatsu, 2011. "Spin-Liquid Phase in the Hubbard Model on the Honeycomb Lattice," Springer Books, in: Wolfgang E. Nagel & Dietmar B. Kröner & Michael M. Resch (ed.), High Performance Computing in Science and Engineering '10, pages 5-17, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-15748-6_1
    DOI: 10.1007/978-3-642-15748-6_1
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