Kinetic magnetism in the crossover between the square and triangular lattice Fermi-Hubbard models
arXiv:2506.15669 · doi:10.1103/v3fr-gch1
Abstract
We calculate the spin correlations that result from the motion of a single dopant in the hard-core Fermi-Hubbard model, as the geometry evolves from a square to a triangular lattice. In particular, we consider the square lattice with an additional hopping along one diagonal, whose strength is continuously varied. We use a high-temperature expansion which expresses the partition function as a sum over closed paths taken by the dopant. We sample thousands of diagrams in the space of closed paths using the quantum Monte Carlo approach of Raghavan and Elser [1,2], which is free of finite-size effects and allows us to simulate temperatures as low as , even in cases where there is a sign problem. For the case of a hole dopant, we find a crossover from kinetic ferromagnetism to kinetic antiferromagnetism as the geometry is tuned from square to triangular, which can be observed in current quantum gas microscopes.
16 pages, 9 figures
References in corpus (78)
- Many-Body Physics with Ultracold Gases
- The density-matrix renormalization group in the age of matrix product states
- The density-matrix renormalization group
- A Mott insulator of fermionic atoms in an optical lattice
- Experimental realization of a long-range antiferromagnet in the Hubbard model with ultracold atoms
- Hubbard model physics in transition metal dichalcogenide moiré bands
- Moiré heterostructures as a condensed matter quantum simulator
- Fermi-Hubbard physics with atoms in an optical lattice
- Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms
- Spin and Charge Resolved Quantum Gas Microscopy of Antiferromagnetic Order in Hubbard Chains
- Short-range quantum magnetism of ultracold fermions in an optical lattice
- Observation of Spatial Charge and Spin Correlations in the 2D Fermi-Hubbard Model
- Site-resolved Imaging of Fermionic Lithium-6 in an Optical Lattice
- Site-resolved measurement of the spin-correlation function in the Hubbard model
- Ultracold Fermi Gases with Emergent SU(N) Symmetry
- Site-resolved imaging of a fermionic Mott insulator
- Imaging magnetic polarons in the doped Fermi-Hubbard model
- String patterns in the doped Hubbard model
- Observation of canted antiferromagnetism with ultracold fermions in an optical lattice
- Coexistence of superconductivity with partially filled stripes in the Hubbard model
- Ground State Phase Diagram of the -- model
- Time-Resolved Observation of Spin-Charge Deconfinement in Fermionic Hubbard Chains
- Ground state phase diagram of the doped Hubbard model on the 4-leg cylinder
- Quantum state engineering of a Hubbard system with ultracold fermions
- Nagaoka ferromagnetism observed in a quantum dot plaquette
- Classifying Snapshots of the Doped Hubbard Model with Machine Learning
- Single hole dynamics in the t-J model on a square lattice
- Static vs. dynamical mean field theory of Mott antiferromagnets
- Observation of 2D fermionic Mott insulators of K with single-site resolution
- Frustration- and doping-induced magnetism in a Fermi-Hubbard simulator
- Magnetism and Phase Separation in the Ground State of the Hubbard Model
- Site-resolved imaging of ytterbium atoms in a two-dimensional optical lattice
- Kinetic Magnetism in Triangular Moiré Materials
- Parton theory of magnetic polarons: Mesonic resonances and signatures in dynamics
- Ferromagnetism, paramagnetism and a Curie-Weiss metal in an electron doped Hubbard model on a triangular lattice
- A Fermi-Hubbard Optical Tweezer Array
- Robust Bilayer Charge-Pumping for Spin- and Density-Resolved Quantum Gas Microscopy
- String excitations of a hole in a quantum antiferromagnet and photoelectron spectrospopy
- Single hole spectral function and spin-charge separation in the t-J model
- Quantum gas microscopy with spin, atom-number and multi-layer readout
- Coupling a mobile hole to an antiferromagnetic spin background: Transient dynamics of a magnetic polaron
- Site-resolved imaging of ultracold fermions in a triangular-lattice quantum gas microscope
- On the Nagaoka polaron in the t-J model
- Kinetic Antiferromagnetism in the Triangular Lattice
- Observation of Nagaoka Polarons in a Fermi-Hubbard Quantum Simulator
- Microscopic spinon-chargon theory of magnetic polarons in the t-J model
- Parton theory of ARPES spectra in anti-ferromagnetic Mott insulators
- Nagaoka ferromagnetism in the two-dimensional infinite-U Hubbard model
- Directly imaging spin polarons in a kinetically frustrated Hubbard system
- Itinerant spin polaron and metallic ferromagnetism in semiconductor moiré superlattices
- A dynamical mean-field theory study of Nagaoka ferromagnetism
- A neutral-atom Hubbard quantum simulator in the cryogenic regime
- Quantum correlations at infinite temperature: the dynamical Nagaoka effect
- Classical Antiferromagnetism in Kinetically Frustrated Electronic Models
- Dynamical formation of a magnetic polaron in a two-dimensional quantum antiferromagnet
- Triangular lattice Hubbard model physics at intermediate temperatures
- Low energy states with different symmetries in the t-J model with two holes on a 32-site lattice
- Quantum Walk in Degenerate Spin Environments
- Single-site-resolved imaging of ultracold atoms in a triangular optical lattice
- Nonequilibrium Hole Dynamics in Antiferromagnets: Damped Strings and Polarons
- Metal-insulator transition and magnetism of SU(3) fermions in the square lattice
- Dominant fifth-order correlations in doped quantum anti-ferromagnets
- Quantum gas microscopy of a geometrically frustrated Hubbard system
- Holes and magnetic polarons in a triangular lattice antiferromagnet
- Many-body Physics of Ultracold Alkaline-Earth atoms with SU()-symmetric interactions
- SU(N) magnetism with ultracold molecules
- Nagaoka ferromagnetism in doped Hubbard models in optical lattices
- Evolution of Nagaoka phase with kinetic energy frustrating hoppings
- Pseudogap metal and magnetization plateau from doping moiré Mott insulator
- Finite-Temperature Hole-Magnon Dynamics in an Antiferromagnet
- Two holes in the t-J model form a bound state for any nonzero J/t
- Exact Hole-induced Resonating-Valence-Bond Ground State in Certain Hubbard Models
- Evidence of attraction between charge-carriers in a doped Mott insulator
- Tuning Kinetic Magnetism of Strongly Correlated Electrons via Staggered Flux
- Discriminating antiferromagnetic signatures in ultracold fermions by tunable geometric frustration
- Magnetic polarons in two-component hard core bosons
- Exact hole-induced flavor-singlets in certain Hubbard models
- Topological frustration and structural balance in strongly correlated itinerant electron systems: an extension of Nagaoka's theorem
Cited by in corpus (4)
- Instability of Nagaoka State and Quantum Phase Transition via Kinetic Frustration Control
- Optimal array geometries for kinetic magnetism and Nagaoka polarons
- Shaping Magnetic Order by Local Frustration for Itinerant Fermions on a Graph
- Spin-spiral instability of the Nagaoka ferromagnet in the crossover between square and triangular lattices