Competing magnetic orders in a bilayer Hubbard model with ultracold atoms

Marcell Gall, Nicola Wurz, Jens Samland, Chun Fai Chan and Michael Köhl ()
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Marcell Gall: University of Bonn
Nicola Wurz: University of Bonn
Jens Samland: University of Bonn
Chun Fai Chan: University of Bonn
Michael Köhl: University of Bonn

Nature, 2021, vol. 589, issue 7840, 40-43

Abstract: Abstract Fermionic atoms in optical lattices have served as a useful model system in which to study and emulate the physics of strongly correlated matter. Driven by the advances of high-resolution microscopy, the current research focus is on two-dimensional systems1–3, in which several quantum phases—such as antiferromagnetic Mott insulators for repulsive interactions4–7 and charge-density waves for attractive interactions8—have been observed. However, the lattice structure of real materials, such as bilayer graphene, is composed of coupled layers and is therefore not strictly two-dimensional, which must be taken into account in simulations. Here we realize a bilayer Fermi–Hubbard model using ultracold atoms in an optical lattice, and demonstrate that the interlayer coupling controls a crossover between a planar antiferromagnetically ordered Mott insulator and a band insulator of spin-singlets along the bonds between the layers. We probe the competition of the magnetic ordering by measuring spin–spin correlations both within and between the two-dimensional layers. Our work will enable the exploration of further properties of coupled-layer Hubbard models, such as theoretically predicted superconducting pairing mechanisms9,10.

Date: 2021
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DOI: 10.1038/s41586-020-03058-x

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