Competing magnetic orders in a bilayer Hubbard model with ultracold atoms

Nature
  • 1.

    Greif, D. et al. Site-resolved imaging of a fermionic Mott insulator. Science 351, 953–957 (2016).

    ADS 
    CAS 
    Article 

    Google Scholar
     

  • 2.

    Cheuk, L. W. et al. Observation of 2D fermionic Mott insulators of 40K with single-site resolution. Phys. Rev. Lett. 116, 235301 (2016).

    ADS 
    Article 

    Google Scholar
     

  • 3.

    Cocchi, E. et al. Equation of state of the two-dimensional Hubbard model. Phys. Rev. Lett. 116, 175301 (2016).

    ADS 
    Article 

    Google Scholar
     

  • 4.

    Cheuk, L. W. et al. Observation of spatial charge and spin correlations in the 2D Fermi–Hubbard model. Science 353, 1260–1264 (2016).

    ADS 
    MathSciNet 
    CAS 
    Article 

    Google Scholar
     

  • 5.

    Parsons, M. F. et al. Site-resolved measurement of the spin-correlation function in the Fermi–Hubbard model. Science 353, 1253–1256 (2016).

    ADS 
    MathSciNet 
    CAS 
    Article 

    Google Scholar
     

  • 6.

    Drewes, J. H. et al. Antiferromagnetic correlations in two-dimensional fermionic Mott-insulating and metallic phases. Phys. Rev. Lett. 118, 170401 (2017).

    ADS 
    CAS 
    Article 

    Google Scholar
     

  • 7.

    Mazurenko, A. et al. A cold-atom Fermi–Hubbard antiferromagnet. Nature 545, 462–466 (2017).

    ADS 
    CAS 
    Article 

    Google Scholar
     

  • 8.

    Mitra, D. et al. Quantum gas microscopy of an attractive Fermi–Hubbard system. Nat. Phys. 14, 173–177 (2018).

    CAS 
    Article 

    Google Scholar
     

  • 9.

    Scalettar, R. T., Cannon, J. W., Scalapino, D. J. & Sugar, R. L. Magnetic and pairing correlations in coupled Hubbard planes. Phys. Rev. B 50, 13419–13427 (1994).

    ADS 
    CAS 
    Article 

    Google Scholar
     

  • 10.

    Maier, T. A. & Scalapino, D. Pair structure and the pairing interaction in a bilayer Hubbard model for unconventional superconductivity. Phys. Rev. B 84, 180513 (2011).

    ADS 
    Article 

    Google Scholar
     

  • 11.

    Kancharla, S. S. & Okamoto, S. Band insulator to Mott insulator transition in a bilayer Hubbard model. Phys. Rev. B 75, 193103 (2007).

    ADS 
    Article 

    Google Scholar
     

  • 12.

    Golor, M., Reckling, T., Classen, L., Scherer, M. M. & Wessel, S. Ground-state phase diagram of the half-filled bilayer Hubbard model. Phys. Rev. B 90, 195131 (2014).

    ADS 
    Article 

    Google Scholar
     

  • 13.

    dos Santos, R. R. Magnetism and pairing in Hubbard bilayers. Phys. Rev. B 51, 15540–15546 (1995).

    ADS 
    Article 

    Google Scholar
     

  • 14.

    Rüger, R., Tocchio, L. F., Valentí, R. & Gros, C. The phase diagram of the square lattice bilayer Hubbard model: a variational Monte Carlo study. New J. Phys. 16, 033010 (2014).

    ADS 
    Article 

    Google Scholar
     

  • 15.

    Sandvik, A. & Scalapino, D. Order–disorder transition in a two-layer quantum antiferromagnet. Phys. Rev. Lett. 72, 2777–2780 (1994).

    ADS 
    CAS 
    Article 

    Google Scholar
     

  • 16.

    Hafermann, H., Katsnelson, M. & Lichtenstein, A. Metal–insulator transition by suppression of spin fluctuations. Europhys. Lett. 85, 37006 (2009).

    ADS 
    Article 

    Google Scholar
     

  • 17.

    Koepsell, J. et al. Robust bilayer charge-pumping for spin-and density-resolved quantum gas microscopy. Phys. Rev. Lett. 125, 010403 (2020).

    ADS 
    CAS 
    Article 

    Google Scholar
     

  • 18.

    Hartke, T., Oreg, B., Jia, N. & Zwierlein, M. Doublon–hole correlations and fluctuation thermometry in a Fermi–Hubbard gas. Phys. Rev. Lett. 125, 113601 (2020).

    ADS 
    CAS 
    Article 

    Google Scholar
     

  • 19.

    Wurz, N. et al. Coherent manipulation of spin correlations in the Hubbard model. Phys. Rev. A 97, 051602 (2018).

    ADS 
    CAS 
    Article 

    Google Scholar
     

  • 20.

    Scalettar, R. T. Magnetism and spin liquid behavior in a two layer Hubbard model. J. Low Temp. Phys. 99, 499–504 (1995).

    ADS 
    CAS 
    Article 

    Google Scholar
     

  • 21.

    Greif, D., Uehlinger, T., Jotzu, G., Tarruell, L. & Esslinger, T. Short-range quantum magnetism of ultracold fermions in an optical lattice. Science 340, 1307–1310 (2013).

    ADS 
    CAS 
    Article 

    Google Scholar
     

  • 22.

    Bouadim, K., Batrouni, G. G., Hébert, F. & Scalettar, R. Magnetic and transport properties of a coupled hubbard bilayer with electron and hole doping. Phys. Rev. B 77, 144527 (2008).

    ADS 
    Article 

    Google Scholar
     

  • 23.

    Varney, C. N. et al. Quantum Monte Carlo study of the two-dimensional fermion Hubbard model. Phys. Rev. B 80, 075116 (2009).

    ADS 
    Article 

    Google Scholar
     

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