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.

References in corpus (6)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Itinerant Ferromagnetism in a Fermi Gas of Ultracold Atoms
• Role of backflow correlations for the non-magnetic phase of the t-t' Hubbard model
• Superfluid to Mott-insulator transition in Bose-Hubbard models
• A dynamical mean-field theory study of Nagaoka ferromagnetism
• Reptation quantum Monte Carlo for lattice Hamiltonians with a directed-update scheme

Cited by in corpus (5)

• Iterative backflow renormalization procedure for many-body ground state wave functions of strongly interacting normal Fermi liquids
• Effective approach to the Nagaoka regime of the two dimensional t-J model
• Finite range and upper branch effects on itinerant ferromagnetism in repulsive Fermi gases: Bethe-Goldstone ladder resummation approach
• Magnetic phase diagram of the infinite-U Hubbard model with nearest- and next nearest-neighbor hoppings
• Doping control of realization of an extended Nagaoka ferromagnetic state from the Mott state