Observation of spatial charge and spin correlations in the 2D Fermi-Hubbard model
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Author(s) • • • • • • • • •
Khatami, E.
Trivedi, N.
Paiva, T.
Rigol, M.
Cheuk, Lawrence W.
Nichols, Matthew Alan
Lawrence, Katherine R
Okan, Melih
Zhang, Hao
Zwierlein, Martin Wolfram
Date Issued
August 2016
Journal
Science
Publisher
American Association for the Advancement of Science (AAAS)
Citation
Cheuk, L. W.; Nichols, M. A.; Lawrence, K. R.; Okan, M.; Zhang, H.; Khatami, E.; Trivedi, N.; Paiva, T.; Rigol, M. and Zwierlein, M. W. “Observation of Spatial Charge and Spin Correlations in the 2D Fermi-Hubbard Model.” Science 353, no. 6305 (September 15, 2016): 1260–1264. © 2016 American Association for the Advancement of Science (AAAS)
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Original manuscript
Abstract
Strong electron correlations lie at the origin of high-temperature superconductivity. Its essence is believed to be captured by the Fermi-Hubbard model of repulsively interacting fermions on a lattice. Here we report on the site-resolved observation of charge and spin correlations in the two-dimensional (2D) Fermi-Hubbard model realized with ultracold atoms. Antiferromagnetic spin correlations are maximal at half-filling and weaken monotonically upon doping. At large doping, nearest-neighbor correlations between singly charged sites are negative, revealing the formation of a correlation hole, the suppressed probability of finding two fermions near each other. As the doping is reduced, the correlations become positive, signaling strong bunching of doublons and holes, in agreement with numerical calculations. The dynamics of the doublon-hole correlations should play an important role for transport in the Fermi-Hubbard model.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Massachusetts Institute of Technology. Research Laboratory of Electronics
MIT-Harvard Center for Ultracold Atoms
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DOI of Published Version
https://doi.org/10.1126/science.aag3349