The itinerant ferromagnetic phase of the Hubbard model

Abstract

Using a newly developed quantum Monte Carlo technique, we provide strong evidence for the stability of a saturated ferromagnetic phase in the high-density regime of the two-dimensional infinite-U Hubbard model. By decreasing the electron density, a discontinuous transition to a paramagnetic phase is observed, accompanied by a divergence of the susceptibility on the paramagnetic side. This behavior, resulting from a high degeneracy among different spin sectors, is consistent with an infinite-order phase transition. The remarkable stability of itinerant ferromagnetism renews the hope to describe this phenomenon within a purely kinetic mechanism and will facilitate the validation of experimental quantum simulators with cold atoms loaded in optical lattices.

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• Reptation quantum Monte Carlo for lattice Hamiltonians with a directed-update scheme
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Cited by in corpus (29)

• Backflow Transformations via Neural Networks for Quantum Many-Body Wave-Functions
• Correlations and Pair Formation in a Repulsively Interacting Fermi Gas
• Phases of the infinite U Hubbard model
• Backflow correlations in the Hubbard model: an efficient tool for the metal-insulator transition and the large-U limit
• Iterative backflow renormalization procedure for many-body ground state wave functions of strongly interacting normal Fermi liquids
• Ferromagnetism in itinerant two-dimensional t2g systems
• Interaction-Dependent Photon-Assisted Tunneling in Optical Lattices: A Quantum Simulator of Strongly-Correlated Electrons and Dynamical Gauge Fields
• Ferromagnetism of a Repulsive Atomic Fermi Gas in an Optical Lattice: a Quantum Monte Carlo Study
• Nonperturbative Effects on the Ferromagnetic Transition in Repulsive Fermi Gases
• Equation of state of two--dimensional ${}^3$He at zero temperature
• Polaronic mechanism of Nagaoka ferromagnetism in Hubbard models
• Effective approach to the Nagaoka regime of the two dimensional t-J model
• Quantum Monte Carlo simulations of two-dimensional repulsive Fermi gases with population imbalance
• Evolution of Nagaoka phase with kinetic energy frustrating hoppings
• Finite range and upper branch effects on itinerant ferromagnetism in repulsive Fermi gases: Bethe-Goldstone ladder resummation approach
• Quantum Monte Carlo study of the two-dimensional ferromagnet
• Breakdown of the Nagaoka phase at finite doping
• Ferromagnetism in a Repulsive Atomic Fermi Gas with Correlated Disorder
• Magnetic phase diagram of the infinite-U Hubbard model with nearest- and next nearest-neighbor hoppings
• On the Fermion Sign Problem in Imaginary-Time Projection Continuum Quantum Monte Carlo with Local Interaction
• Instability of Nagaoka State and Quantum Phase Transition via Kinetic Frustration Control
• Doping control of realization of an extended Nagaoka ferromagnetic state from the Mott state
• Itinerant ferromagnetism in the repulsive Hubbard chain with anisotropic odd-wave attraction
• Functional renormalization group for extremely correlated electrons
• Ferromagnetic diagonal stripe states in the two-dimensional Hubbard model with $U\lesssim \infty$
• Bad Metal Behavior and Lifshitz Transition of a Nagaoka Ferromagnet
• Geometric Frustration Assisted Kinetic Ferromagnetism in Doped Mott Insulators
• Stochastic perturbation theory: a prequel to Reptation Quantum Monte Carlo
• Itinerant magnetism in Hubbard models with long-range interactions