Onset of ferromagnetism for strongly correlated electrons in one-dimensional chains

Abstract

The existence of the Nagaoka ferromagnetism is examined in the context of the one-dimensional $U=\infty$ Hubbard model. We construct the exact quantum partition function to describe the physics of such a regime. Our calculation reveals that, while the ground state in an open chain is always spin-degenerate, in a finite size closed chain with at least one vacancy, the ground state can only be ferromagnetic when the number of electrons is less or equal to three. Our results shed more light on a very recent experimental verification of Nagaoka ferromagnetism in a quantum dot set up.

References in corpus (8)

• Transition from a strongly interacting 1D superfluid to a Mott insulator
• Quantum simulation of a Fermi-Hubbard model using a semiconductor quantum dot array
• Kinetic Antiferromagnetism in the Triangular Lattice
• Ferromagnetism in Quantum Dot Plaquettes
• Effective action for strongly correlated electron systems
• Doped carrier formulation of the t-J model: the projection constraint and the effective Kondo-Heisenberg lattice representation
• Ferromagnetism and Borromean binding in three-fermion clusters
• Breakdown of the Nagaoka phase at finite doping

Cited by in corpus (5)

• Polaronic mechanism of Nagaoka ferromagnetism in Hubbard models
• Stable and Metastable Kinetic Ferromagnetism on a Ring
• Spin-flip induced superfluidity in a ring of spinful hard-core bosons
• Optimal array geometries for kinetic magnetism and Nagaoka polarons
• Shaping Magnetic Order by Local Frustration for Itinerant Fermions on a Graph