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

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 liquids. Promising candidate materials for such phases can be described by the Hubbard model on an anisotropic triangular lattice, a paradigmatic model capturing the interplay between strong correlations and magnetic frustration. 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 model. 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 $U/t\sim 9$, 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${}^{\circ }$ 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 lattices and realizing t-t' square lattice Hubbard models that may be essential to describe superconductivity in cuprate materials.

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• Probing the Kitaev honeycomb model on a neutral-atom quantum computer
• Antiferromagnetic bosonic $t$-$J$ models and their quantum simulation in tweezer arrays
• Frustrated extended Bose-Hubbard model and deconfined quantum critical points with optical lattices at the anti-magic wavelength
• Neural network approach to quasiparticle dispersions in doped antiferromagnets
• Quantum gas microscopy of a geometrically frustrated Hubbard system
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• Quantum algorithms for scientific computing
• Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications
• Optical superlattice for engineering Hubbard couplings in quantum simulation
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• Observation of emergent scaling of spin-charge correlations at the onset of the pseudogap
• Spin-polarons and ferromagnetism in doped dilute Wigner-Mott insulators
• Single-hole spectra of Kitaev spin liquids: from dynamical Nagaoka ferromagnetism to spin-hole fractionalization
• Observation of Chiral-Mode Domains in a Frustrated XY Model on Optical Triangular Lattices
• Particle-hole asymmetric ferromagnetism and spin textures in the triangular Hubbard-Hofstadter model
• Single-beam grating-chip 3D and 1D optical lattices
• Scattering theory of mesons in doped antiferromagnetic Mott insulators: Multichannel perspective and Feshbach resonance
• Highly tunable 2D silicon quantum dot array with coupling beyond nearest neighbors
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• Ising phase transitions and thermodynamics of correlated fermions in a two-dimensional spin-dependent lattice potential
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• Frustration induced Itinerant Ferromagnetism of Fermions in Optical Lattice
• Learning interacting fermionic Hamiltonians at the Heisenberg limit
• Observation and Control of Chiral Spin Frustration in BiYIG Thin Films
• Commensurate and incommensurate 1D interacting quantum systems
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• Exploring Frustration Effects of Strongly Interacting Bosons via the Hall Response
• Interaction dependence of the Hall response for the Bose-Hubbard triangular ladder
• Thermal Entropy, Density Disorder and Antiferromagnetism of Repulsive Fermions in 3D Optical Lattice
• Fluctuation based interpretable analysis scheme for quantum many-body snapshots
• Structural complexity of snapshots of 2D Fermi-Hubbard systems
• A recipe for local simulation of strongly-correlated fermionic matter on quantum computers: the 2D Fermi-Hubbard model
• Quantum science with arrays of metastable helium-3 atoms
• Optical lattice quantum simulator of dynamics beyond Born-Oppenheimer
• Exploring kinetically induced bound states in triangular lattices with ultracold atoms: spectroscopic approach
• Geometric Frustration Assisted Kinetic Ferromagnetism in Doped Mott Insulators
• Itinerant magnetism in the triangular lattice Hubbard model at half-doping: Application to twisted transition-metal dichalcogenides
• Spinon Singlet Pairing: Origin of $d$-Wave Sign Structure in a Partially-Filled Stripe
• Many-body perturbation theory for strongly correlated effective Hamiltonians using effective field theory methods
• Emergent spinon-holon Feshbach resonance in a doped Majumdar-Ghosh model
• Magnetization of electronic ground states in frustrated superstable graphs
• Spin-spiral instability of the Nagaoka ferromagnet in the crossover between square and triangular lattices
• Itinerant magnetism in Hubbard models with long-range interactions
• Double Supersolid Phase in a Bosonic t-J-V Model with Rydberg Atoms
• Optimized Gutzwiller Projected States for Doped Antiferromagnets in Fermi-Hubbard Simulators