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

• DOI: 10.48550/arxiv.2212.13983
• Publication Date: 2022-01-01
• Authors: Muqing Xu; Lev Haldar Kendrick; Anant Kale; Youqi Gang; Geoffrey Ji; Richard Scalettar; Martin Lebrat; Markus Greiner
• Keywords: Magnetism; Square lattice; Hexagonal Lattice; Geometrical frustration; Heisenberg model

Geometrical frustration in strongly correlated systems can give rise to a plethora of novel ordered states and intriguing magnetic phases, such as quantum spin liquids. Promising candidate materials for phases be described by the Hubbard model on an anisotropic triangular lattice, paradigmatic capturing interplay between strong correlations frustration. However, fate frustrated magnetism presence itinerant dopants remains unclear, well its connection doped square model. Here we investigate local order with controllable doping, using ultracold fermions optical lattices continuously tunable from geometry. At half-filling interactions $U/t \sim 9$, observe at single-site level how reduces range drives transition collinear N\'eel antiferromagnet short-range 120$^{\circ}$ spiral phase. Away half-filling, limit shows enhanced antiferromagnetic hole-doped side reversal ferromagnetic particle dopings above 20%, hinting role kinetic systems. This work paves way towards exploring possible chiral or superconducting realizing t-t' lattice models that may essential describe superconductivity cuprate materials.