Kinetic Antiferromagnetism in the Triangular Lattice

Abstract

We show that the motion of a single hole in the infinite $U$ Hubbard model with frustrated hopping leads to weak metallic antiferromagnetism of kinetic origin. An intimate relationship is demonstrated between the simplest versions of this problem in 1 and 2 dimensions, and two of the most subtle many body problems, namely the Heisenberg Bethe ring in 1-d and the 2-dimensional triangular lattice Heisenberg antiferromagnet.

10 pages, 2 figures, 5 supplementary figures; Figures fixed

References in corpus (5)

• The Physics Behind High-Temperature Superconducting Cuprates: The "Plain Vanilla" Version Of RVB
• Exact spectra, spin susceptibilities and order parameter of the quantum Heisenberg antiferromagnet on the triangular lattice
• Order versus Disorder in the Quantum Heisenberg Antiferromagnet on the Kagom{é} lattice: an approach through exact spectra analysis
• DMRG Studies of the Spin-Half Heisenberg System with Dimerization and Frustration
• Spin-Liquid phase of the Multiple-Spin Exchange Hamiltonian on the Triangular Lattice

Cited by in corpus (48)

• Frustration- and doping-induced magnetism in a Fermi-Hubbard simulator
• Kinetic Magnetism in Triangular Moiré Materials
• Observation of Nagaoka Polarons in a Fermi-Hubbard Quantum Simulator
• Directly imaging spin polarons in a kinetically frustrated Hubbard system
• Itinerant spin polaron and metallic ferromagnetism in semiconductor moiré superlattices
• Pairing from strong repulsion in triangular lattice Hubbard model
• Strong Correlations Produce the Curie-Weiss Phase of Na${}_x$CoO${}_2$
• Classical Antiferromagnetism in Kinetically Frustrated Electronic Models
• Triangular lattice Hubbard model physics at intermediate temperatures
• Electronic Properties of the Hubbard Model on a Frustrated Triangular Lattice
• Exact solution of the infinite-U Hubbard problem and other models in one dimension
• Correlation effects on the doped triangular lattice in view of the physics of sodium-rich Na${}_x$CoO${}_2$
• Nanoscale ferromagnetism in non-magnetic doped semiconductors
• Dynamical thermal response functions for strongly correlated one-dimensional systems
• Neural network approach to quasiparticle dispersions in doped antiferromagnets
• Polaronic mechanism of Nagaoka ferromagnetism in Hubbard models
• Finite temperature properties of the triangular lattice t-J model, applications to Na${}_x$CoO${}_2$
• Itinerant and localized magnetism on the triangular lattice: sodium rich phases of Na${}_x$CoO${}_2$
• Nagaoka ferromagnetism in doped Hubbard models in optical lattices
• Quantum Melting of Generalized Wigner Crystals in Transition Metal Dichalcogenide Moiré Systems
• Evolution of Nagaoka phase with kinetic energy frustrating hoppings
• Itinerant electrons in the Coulomb phase
• Spin-polarons and ferromagnetism in doped dilute Wigner-Mott insulators
• A resonant valence bond spin liquid in the dilute limit of doped frustrated Mott insulators
• Exact Hole-induced Resonating-Valence-Bond Ground State in Certain $U=\infty$ Hubbard Models
• Search for Ferromagnetism in doped semiconductors in the absence of transition metal ions
• Tuning Kinetic Magnetism of Strongly Correlated Electrons via Staggered Flux
• Electronic and magnetic properties of the ionic Hubbard model on the striped triangular lattice at 3/4 filling
• Magnetic phase diagram of the infinite-U Hubbard model with nearest- and next nearest-neighbor hoppings
• Exciton and light induced ferromagnetism from doping a moiré Mott insulator
• The Hall Number, Optical Sum Rule and Carrier Density for the $t$-$t^{\prime }$-$J$ model
• Finite-Temperature Kinetic Ferromagnetism in the Square Lattice Hubbard Model
• Onset of ferromagnetism for strongly correlated electrons in one-dimensional chains
• Kinetic magnetism in the crossover between the square and triangular lattice Fermi-Hubbard models
• Exact hole-induced $SU(N)$ flavor-singlets in certain $U=\infty$ $SU(N)$ Hubbard models
• Instability of Nagaoka State and Quantum Phase Transition via Kinetic Frustration Control
• Stable and Metastable Kinetic Ferromagnetism on a Ring
• Origin and stability of generalized Wigner crystallinity in triangular moiré systems
• Topological frustration and structural balance in strongly correlated itinerant electron systems: an extension of Nagaoka's theorem
• Frustration and chirality in three-dimensional trillium lattices: Insights and Perspectives
• Searching for superconductivity in doped triangular lattice Kitaev magnets
• Exploring kinetically induced bound states in triangular lattices with ultracold atoms: spectroscopic approach
• Shaping Magnetic Order by Local Frustration for Itinerant Fermions on a Graph
• Optimal array geometries for kinetic magnetism and Nagaoka polarons
• Kinetic Energy Driven Ferromagnetic Insulator
• Itinerant magnetism in the triangular lattice Hubbard model at half-doping: Application to twisted transition-metal dichalcogenides
• Itinerant magnetism in Hubbard models with long-range interactions
• Spin-spiral instability of the Nagaoka ferromagnet in the crossover between square and triangular lattices