Quantum Monte Carlo study of antiferromagnetic correlations in the Positive $U$ Fermi-Hubbard model

ORAL

Abstract

We use determinantal quantum Monte Carlo (QMC) simulations$^{1,2}$ to investigate the fermion Hubbard model as a function of filling, temperature and population imbalance. We find that (i) the structure factor is not very sensitive to population imbalance for the ranges of temperatures currently available in the experiments; (ii) at half filling for a large range of $U$ the antiferromagnetic structure factor collapses onto a universal curve. This scaling behavior along with QMC data for other scattering angles allows us to directly compare with experimental Bragg scattering data and put constraints on the experimental Neel ordering temperature. $^1$ ``Fermions in 2D Optical Lattices: Constraints on entropy for observing antiferromagnetism and superfluidity", T. Paiva, R.T. Scalettar, M. Randeria, and N. Trivedi, Phys. Rev. Lett. 104, 066406 (2010). $^2$ ``Fermions in 3D Optical Lattices: Cooling Protocol to Obtain Antiferromagnetism", T. Paiva, Yen Lee Loh, N. Trivedi, M. Randeria and R.T. Scalettar, Phys. Rev. Lett. 107, 086401 (2011)

*Supported by CNPq, NSF, ONR, DARPA/ARO, and the Welch and Keck Foundations.

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Authors

  • Thereza Paiva

    • Instituto de Fisica, Universidade Federal do Rio de Janeiro Cx.P. 68.528, 21941-972 Rio de Janeiro RJ, Brazil
    • Instituto de Fisica, Universidade Federal do Rio de Janeiro

  • R.A. Hart

    • Physics Department, Rice University
    • Department of Physics and Astronomy and Rice Quantum Institute, Rice University, Houston, TX 77005, USA

  • Pedro Duarte

    • Department of Physics and Astronomy and Rice Quantum Institute, Rice University, Houston TX
    • Physics Department, Rice University

  • Ernie Yang

    • Physics Department, Rice University

  • Xinxing Liu

    • Department of Physics and Astronomy and Rice Quantum Institute, Rice University, Houston TX
    • Physics Department, Rice University

  • Randy Hulet

    • Department of Physics and Astronomy and Rice Quantum Institute, Rice University, Houston TX
    • Physics Department, Rice University

  • David Huse

    • Princeton University
    • Physics Department, Princeton University

  • Richard Scalettar

    • Physics Department, University of California, Davis, California 95616, USA
    • University of California, Davis
    • Physics Department, University of California, Davis

  • Nandini Trivedi

    • Physics Department, Ohio State University
    • The Ohio State University