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Near zero temperature, quantum magnetism can non-trivially arise from short-range interactions, but the occurrence of magnetic order depends crucially on the interplay of interactions, lattice geometry, dimensionality and doping.
New approach to the theory of superexchange interactions
Anderson, P. W · 1959
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Electron correlations in narrow energy bands
Hubbard, J · 1963
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The fluctuation-dissipation theorem
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Two-dimensional Hubbard model: Numerical simulation study
Hirsch, J. E · 1985
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Moreo, A · 1993
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High-temperature superfluidity of fermionic atoms in optical lattices
Hofstetter, W., Cirac, J., Zoller, P., Demler, E. & Lukin, M · 2002
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Thermodynamics of the planar Hubbard model
Bonča, J. & Prelovšek, P · 2003
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Fermionic atoms in a three dimensional optical lattice: Observing Fermi surfaces, dynamics, and interactions
Köhl, M., Moritz, H., Stöferle, T., Günter, K. & Esslinger, T · 2005
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Doping a Mott insulator: Physics of high-temperature superconductivity
Lee, P. A., Nagaosa, N. & Wen, X.-G · 2006
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Measuring the one-particle excitations of ultracold fermionic atoms by stimulated Raman spectroscopy
Dao, T.-L., Georges, A., Dalibard, J., Salomon, C. & Carusotto, I · 2007
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Many-body physics with ultracold gases
Bloch, I., Dalibard, J. & Zwerger, W · 2008
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A Mott insulator of fermionic atoms in an optical lattice
Jördens, R., Strohmaier, N., Günter, K., Moritz, H. & Esslinger, T · 2008
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Metallic and insulating phases of repulsively interacting Fermions in a 3d optical lattice
Schneider, U. et al · 2008
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Using photoemission spectroscopy to probe a strongly interacting Fermi gas
Stewart, J. T., Gaebler, J. P. & Jin, D. S · 2008
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Spin liquids in frustrated magnets
Balents, L · 2010
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Fermi-Hubbard physics with atoms in an optical lattice
Esslinger, T · 2010
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Fermions in 2D optical lattices: Temperature and entropy scales for observing antiferromagnetism and superfluidity
Paiva, T., Scalettar, R., Randeria, M. & Trivedi, N · 2010
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Computational studies of quantum spin systems
Sandvik, A. W · 2010
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Universal spin dynamics in two-dimensional Fermi gases
Koschorreck, M., Pertot, D., Vogt, E. & Köhl, M · 2013
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Far-from-equilibrium spin transport in Heisenberg quantum magnets
Hild, S. et al · 2014
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Compressibility of a fermionic Mott insulator of ultracold atoms
Duarte, P. M. et al · 2015
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Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms
Hart, R. A. et al · 2015
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Site-resolved imaging of a fermionic Mott insulator
Greif, D. et al · 2016
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Equation of state of the two-dimensional Hubbard model
Cocchi, E. et al · 2016
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