Nagaoka ferromagnetism in doped Hubbard models in optical lattices
arXiv:2305.05683 · doi:10.1103/PhysRevA.110.L021303
Abstract
The search for ferromagnetism in the Hubbard model has been a problem of outstanding interest since Nagaoka's original proposal in 1966. Recent advances in quantum simulation have today enabled the study of tunable doped Hubbard models in ultracold atomic systems. Employing large-scale density-matrix renormalization group calculations, we establish the existence of high-spin ground states of the Hubbard model on finite-sized triangular lattices, analyze the microscopic mechanisms behind their origin, and investigate the interplay between ferromagnetism and other competing orders, such as stripes. These results explain$\unicode{x2014}$and shed new light on$\unicode{x2014}$the intriguing observations of ferromagnetic correlations in recent optical-lattice experiments. Additionally, we examine a generalized variant of the Hubbard model, wherein any second electron on a single lattice site is weakly bound compared to the first one, and demonstrate how this modification can lead to enhanced ferromagnetism, at intermediate length scales, on the nonfrustrated square lattice as well.
arXiv comment6+5 pages, 4+2 figures
References in corpus (37)
- The density-matrix renormalization group in the age of matrix product states
- Feshbach Resonances in Ultracold Gases
- The density-matrix renormalization group
- The ITensor Software Library for Tensor Network Calculations
- The cold atom Hubbard toolbox
- Experimental realization of a long-range antiferromagnet in the Hubbard model with ultracold atoms
- Fermi-Hubbard physics with atoms in an optical lattice
- Lattice symmetry breaking in cuprate superconductors: Stripes, nematics, and superconductivity
- The Hubbard Model
- High-temperature superfluidity of fermionic atoms in optical lattices
- From Nagaoka's ferromagnetism to flat-band ferromagnetism and beyond: An introduction to ferromagnetism in the Hubbard model
- Studying Two Dimensional Systems With the Density Matrix Renormalization Group
- Effects of Disorder on Ferromagnetism in Diluted Magnetic Semiconductors
- Observation of Spatial Charge and Spin Correlations in the 2D Fermi-Hubbard Model
- Site-resolved measurement of the spin-correlation function in the Hubbard model
- Tracking the Footprints of Spin Fluctuations: A MultiMethod, MultiMessenger Study of the Two-Dimensional Hubbard Model
- Ground state phase diagram of the doped Hubbard model on the 4-leg cylinder
- Ultracold Lattice Gases with Periodically Modulated Interactions
- Frustration- and doping-induced magnetism in a Fermi-Hubbard simulator
- Ferromagnetism, paramagnetism and a Curie-Weiss metal in an electron doped Hubbard model on a triangular lattice
- A Fermi-Hubbard Optical Tweezer Array
- Lattice dependence of saturated ferromagnetism in the Hubbard model
- Effective Hamiltonian for fermions in an optical lattice across Feshbach resonance
- Fermions in Optical Lattices across Feshbach Resonance
- Quantum simulation of correlated-hopping models with fermions in optical lattices
- Stripes, Antiferromagnetism, and the Pseudogap in the Doped Hubbard Model at Finite Temperature
- Kinetic Antiferromagnetism in the Triangular Lattice
- Antiferromagnetic correlations in two-dimensional fermionic Mott-insulating and metallic phases
- Ferromagnetism in the Hubbard model: instability of the Nagaoka state on the triangular, honeycomb and kagome lattices
- General Hubbard model for strongly interacting fermions in an optical lattice and its phase detection
- Monte Carlo Simulations of Doped, Diluted Magnetic Semiconductors - a System with Two Length Scales
- Anharmonicity Induced Resonances for Ultracold Atoms and their Detection
- Nanoscale ferromagnetism in non-magnetic doped semiconductors
- Polaronic mechanism of Nagaoka ferromagnetism in Hubbard models
- Effective single-band models for strongly interacting fermions in an optical lattice
- Search for Ferromagnetism in doped semiconductors in the absence of transition metal ions
- Frustration induced Itinerant Ferromagnetism of Fermions in Optical Lattice
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- Quantum Melting of Generalized Wigner Crystals in Transition Metal Dichalcogenide Moiré Systems
- Finite-Temperature Kinetic Ferromagnetism in the Square Lattice Hubbard Model
- Kinetic magnetism in the crossover between the square and triangular lattice Fermi-Hubbard models
- Instability of Nagaoka State and Quantum Phase Transition via Kinetic Frustration Control
- Optimal array geometries for kinetic magnetism and Nagaoka polarons
- Geometric Frustration Assisted Kinetic Ferromagnetism in Doped Mott Insulators
- Itinerant magnetism in Hubbard models with long-range interactions