Frustration- and doping-induced magnetism in a Fermi–Hubbard simulator

Muqing Xu, Lev Haldar Kendrick, Anant Kale, Youqi Gang, Geoffrey Ji, Richard T. Scalettar, Martin Lebrat and Markus Greiner ()
Additional contact information
Muqing Xu: Harvard University
Lev Haldar Kendrick: Harvard University
Anant Kale: Harvard University
Youqi Gang: Harvard University
Geoffrey Ji: Harvard University
Richard T. Scalettar: University of California
Martin Lebrat: Harvard University
Markus Greiner: Harvard University

Nature, 2023, vol. 620, issue 7976, 971-976

Abstract: Abstract Geometrical frustration in strongly correlated systems can give rise to a plethora of novel ordered states and intriguing magnetic phases, such as quantum spin liquids1–3. Promising candidate materials for such phases4–6 can be described by the Hubbard model on an anisotropic triangular lattice, a paradigmatic model capturing the interplay between strong correlations and magnetic frustration7–11. However, the fate of frustrated magnetism in the presence of itinerant dopants remains unclear, as well as its connection to the doped phases of the square Hubbard model12. Here we investigate the local spin order of a Hubbard model with controllable frustration and doping, using ultracold fermions in anisotropic optical lattices continuously tunable from a square to a triangular geometry. At half-filling and strong interactions U/t ≈ 9, we observe at the single-site level how frustration reduces the range of magnetic correlations and drives a transition from a collinear Néel antiferromagnet to a short-range correlated 120° spiral phase. Away from half-filling, the triangular limit shows enhanced antiferromagnetic correlations on the hole-doped side and a reversal to ferromagnetic correlations at particle dopings above 20%, hinting at the role of kinetic magnetism in frustrated systems. This work paves the way towards exploring possible chiral ordered or superconducting phases in triangular lattices8,13 and realizing t–t′ square lattice Hubbard models that may be essential to describe superconductivity in cuprate materials14.

Date: 2023
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.nature.com/articles/s41586-023-06280-5 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:nat:nature:v:620:y:2023:i:7976:d:10.1038_s41586-023-06280-5

Ordering information: This journal article can be ordered from
https://www.nature.com/

DOI: 10.1038/s41586-023-06280-5

Access Statistics for this article

Nature is currently edited by Magdalena Skipper

More articles in Nature from Nature
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().