%0 Journal Article %1 Browneaat4134 %A Brown, Peter T. %A Mitra, Debayan %A Guardado-Sanchez, Elmer %A Nourafkan, Reza %A Reymbaut, Alexis %A Hébert, Charles-David %A Bergeron, Simon %A Tremblay, %A Kokalj, Jure %A Huse, David A. %A Schauss, Peter %A Bakr, Waseem S. %D 2019 %I American Association for the Advancement of Science %J Science %K fermi-hubbard %R 10.1126/science.aat4134 %T Bad metallic transport in a cold atom Fermi-Hubbard system %U http://science.sciencemag.org/content/early/2018/12/05/science.aat4134 %X 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 6Li in a two-dimensional (2D) 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 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 develop here may be applied to measurements of other transport quantities, including the optical conductivity and thermopower.

@article{Browneaat4134, abstract = {{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 6Li in a two-dimensional (2D) 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 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 develop here may be applied to measurements of other transport quantities, including the optical conductivity and thermopower.}}, added-at = {2019-02-26T15:22:34.000+0100}, author = {Brown, Peter T. and Mitra, Debayan and Guardado-Sanchez, Elmer and Nourafkan, Reza and Reymbaut, Alexis and H{\'{e}}bert, Charles-David and Bergeron, Simon and Tremblay and Kokalj, Jure and Huse, David A. and Schau{ss}, Peter and Bakr, Waseem S.}, biburl = {https://www.bibsonomy.org/bibtex/24741ad593ec13b0349a16d28816b7c44/rspreeuw}, citeulike-article-id = {14661526}, citeulike-linkout-0 = {http://dx.doi.org/10.1126/science.aat4134}, citeulike-linkout-1 = {http://science.sciencemag.org/content/early/2018/12/05/science.aat4134}, doi = {10.1126/science.aat4134}, eprint = {http://science.sciencemag.org/content/early/2018/12/05/science.aat4134.full.pdf}, interhash = {57d50f6eedf1d11298e1eb076eb96dee}, intrahash = {4741ad593ec13b0349a16d28816b7c44}, journal = {Science}, keywords = {fermi-hubbard}, posted-at = {2018-12-07 08:22:07}, priority = {4}, publisher = {American Association for the Advancement of Science}, timestamp = {2019-02-26T15:22:34.000+0100}, title = {{Bad metallic transport in a cold atom Fermi-Hubbard system}}, url = {http://science.sciencemag.org/content/early/2018/12/05/science.aat4134}, year = 2019 }