1.
Greif, D. et al. Site-resolved imaging of a fermionic Mott insulator. Science 351, 953–957 (2016).
2.
Cheuk, L. W. et al. Observation of 2D fermionic Mott insulators of 40K with single-site resolution. Phys. Rev. Lett. 116, 235301 (2016).
3.
Cocchi, E. et al. Equation of state of the two-dimensional Hubbard model. Phys. Rev. Lett. 116, 175301 (2016).
4.
Cheuk, L. W. et al. Observation of spatial charge and spin correlations in the 2D Fermi–Hubbard model. Science 353, 1260–1264 (2016).
5.
Parsons, M. F. et al. Site-resolved measurement of the spin-correlation function in the Fermi–Hubbard model. Science 353, 1253–1256 (2016).
6.
Drewes, J. H. et al. Antiferromagnetic correlations in two-dimensional fermionic Mott-insulating and metallic phases. Phys. Rev. Lett. 118, 170401 (2017).
7.
Mazurenko, A. et al. A cold-atom Fermi–Hubbard antiferromagnet. Nature 545, 462–466 (2017).
8.
Mitra, D. et al. Quantum gas microscopy of an attractive Fermi–Hubbard system. Nat. Phys. 14, 173–177 (2018).
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).
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).
11.
Kancharla, S. S. & Okamoto, S. Band insulator to Mott insulator transition in a bilayer Hubbard model. Phys. Rev. B 75, 193103 (2007).
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).
13.
dos Santos, R. R. Magnetism and pairing in Hubbard bilayers. Phys. Rev. B 51, 15540–15546 (1995).
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).
15.
Sandvik, A. & Scalapino, D. Order–disorder transition in a two-layer quantum antiferromagnet. Phys. Rev. Lett. 72, 2777–2780 (1994).
16.
Hafermann, H., Katsnelson, M. & Lichtenstein, A. Metal–insulator transition by suppression of spin fluctuations. Europhys. Lett. 85, 37006 (2009).
17.
Koepsell, J. et al. Robust bilayer charge-pumping for spin-and density-resolved quantum gas microscopy. Phys. Rev. Lett. 125, 010403 (2020).
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).
19.
Wurz, N. et al. Coherent manipulation of spin correlations in the Hubbard model. Phys. Rev. A 97, 051602 (2018).
20.
Scalettar, R. T. Magnetism and spin liquid behavior in a two layer Hubbard model. J. Low Temp. Phys. 99, 499–504 (1995).
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).
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).
23.
Varney, C. N. et al. Quantum Monte Carlo study of the two-dimensional fermion Hubbard model. Phys. Rev. B 80, 075116 (2009).