Ferromagnetism in single-band Hubbard models with a partially flat band

Abstract

A Hubbard model with a single, partially flat band has ferromagnetic ground states. It is shown that local stability of ferromagnetism implies its global stability in such a model: The model has only ferromagnetic ground states if there are no single spin-flip ground states. Since a single-band Hubbard model away from half filling describes a metal, this result may open a route to metallic ferromagnetism in single band Hubbard models.

6 pages, Accepted for publication in Physical Review Letters

References in corpus (3)

• Microscopic conditions favoring itinerant ferromagnetism: Hund's rule coupling and orbital degeneracy
• Stability of Ferromagnetism in Hubbard Models with Nearly-Flat Bands
• Magnetism and Electronic States of Systems with Strong Hund Coupling

Cited by in corpus (41)

• Model for vacancy-induced d${}^0$ ferromagnetism in oxide compounds
• The temperature-flow renormalization group and the competition between superconductivity and ferromagnetism
• Low-temperature properties of the Hubbard model on highly frustrated one-dimensional lattices
• Designer Flat Bands in Quasi-One-Dimensional Atomic Lattices
• Ferromagnetism in the Hubbard model: A constructive approach
• Engineered electronic states in atomically precise artificial lattices and graphene nanoribbons
• Stability of Ferromagnetism in Hubbard models with degenerate single-particle ground states
• Interacting spinless fermions in a diamond chain
• Low-temperature thermodynamics for a flat-band ferromagnet: Rigorous versus numerical results
• Ferromagnetism beyond Lieb's theorem
• Flat-band-based multifractality in the all-band-flat diamond chain
• Prediction of group IV-V hexagonal binary monolayers
• Weak ferromagnetism and other instabilities of the two-dimensional t-t' Hubbard model at Van Hove fillings
• Ferromagnetism in the t-t' Hubbard model: interplay of lattice, band dispersion, and interaction effects studied within a Goldstone-mode preserving scheme
• Conductance through geometrically frustrated itinerant electronic systems
• Quantum transport in flat bands and super-metallicity
• Flat bands and entanglement in the Kitaev ladder
• Dispersion-driven ferromagnetism in a flat-band Hubbard system
• Hubbard models with nearly flat bands: Ground-state ferromagnetism driven by kinetic energy
• Relationship between spiral and ferromagnetic states in the Hubbard model in the thermodynamic limit
• Models of Strong Interaction in Flat-Band Graphene Nanoribbons: Magnetic Quantum Crystals
• The role of correlated hopping in many-body physics of flat-band systems: Nagaoka ferromagnetism
• Ferromagnetism in a Semiconductor with Mobile Carriers via Low-Level Nonmagnetic Doping
• Infinite bound states and hydrogen atom-like energy spectrum induced by a flat band
• Infinite bound states and $1/n$ energy spectrum induced by a Coulomb-like potential of type III in a flat band system
• Generalized hole-particle transformations and spin reflection positivity in multi-orbital systems
• Proposed realization of critical regions in a one-dimensional flat band lattice with a quasi-periodic potential
• Hard-core bosons in flat band systems above the critical density
• RKKY interaction in one-dimensional flat-band lattices
• Bound states in the continuum (BIC) protected by self-sustained potential barriers in a flat band system
• Effects of geometrical frustration on ferromagnetism in the Hubbard model on the Shastry-Sutherland lattice
• Ground state spin and excitation energies in half-filled Lieb lattices
• Exact mobility line and mobility ring in the complex energy plane of a flat band lattice with a non-Hermitian quasiperiodic potential
• Stoner ferromagnetism in a momentum-confined interacting 2D electron gas
• Itinerant ferromagnetism in narrow-band metals
• Antiferromagnetism in the Exact Ground State of the Half Filled Hubbard Model on the Complete-Bipartite Graph
• Ferrimagnetism Induced by Off-Site Coulomb Interaction in an Itinerant Electron System
• Enhanced Itinerant Ferromagnetism in Hole-doped Transition Metal Oxides: Beyond the Canonical Double Exchange Mechanism
• Kagome edge states under lattice termination, spin-orbit coupling, and magnetic order
• RKKY couplings in the Lieb lattice: flat-band induced frustration
• Magnetization of electronic ground states in frustrated superstable graphs