Journal
SCIENCE
Volume 363, Issue 6425, Pages 379-382Publisher
AMER ASSOC ADVANCEMENT SCIENCE
DOI: 10.1126/science.aat4134
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Funding
- NSF [DMR-1607277]
- David and Lucile Packard Foundation [2016-65128]
- AFOSR Young Investigator Research Program [FA9550-16-1-0269]
- Canada First Research Excellence Fund
- Natural Sciences and Engineering Research Council of Canada (NSERC) [RGPIN-2014-04584]
- Research Chair in the Theory of Quantum Materials (AMST)
- Slovenian Research Agency [P1-0044]
- Alfred P. Sloan Foundation fellowship
- DoD through the NDSEG fellowship program
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Strong interactions in many-body quantum systems complicate the interpretation of charge transport in such materials. To shed light on this problem, we study transport in a clean quantum system: ultracold lithium-6 in a two-dimensional optical lattice, a testing ground for strong interaction physics in the Fermi-Hubbard model. We determine the diffusion constant by measuring the relaxation of an imposed density modulation and modeling its decay hydrodynamically. The diffusion constant is converted to a resistivity by using the Nernst-Einstein relation. That resistivity exhibits a linear temperature dependence and shows no evidence of saturation, two characteristic signatures of a bad metal. The techniques we developed in this study may be applied to measurements of other transport quantities, including the optical conductivity and thermopower.
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