Evolution of Nagaoka phase with kinetic energy frustrating hoppings

Abstract

We investigate, using the density matrix renormalization group, the evolution of the Nagaoka state with $t^{\prime }$ hoppings that frustrate the hole kinetic energy in the $U=\infty$ Hubbard model on the anisotropic triangular lattice and the square lattice with second-nearest neighbor hoppings. We find that the Nagaoka ferromagnet survives up to a rather small $t_c^{\prime }/t\sim \mathrm{0.2.}$ At this critical value, there is a transition to an antiferromagnetic phase, that depends on the lattice: a $\mathbf{Q}=(Q,0)$ spiral order, that continuously evolves with $t^{\prime }$, for the triangular lattice, and the usual $\mathbf{Q}=(\pi ,\pi )$ Néel order for the square lattice. Remarkably, the local magnetization takes its classical value for all considered $t^{\prime }$ ($t^{\prime }/t\le 1$). Our results show that the recently found classical kinetic antiferromagnetism, a perfect counterpart of Nagaoka ferromagnetism, is a generic phenomenon in these kinetically frustrated electronic systems.

7 pages, 7 figures

References in corpus (3)

• A dynamical mean-field theory study of Nagaoka ferromagnetism
• The itinerant ferromagnetic phase of the Hubbard model
• Tuning Kinetic Magnetism of Strongly Correlated Electrons via Staggered Flux

Cited by in corpus (13)

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• Polaronic mechanism of Nagaoka ferromagnetism in Hubbard models
• Magnetic phase transitions and unusual antiferromagnetic states in the Hubbard model
• Exact Hole-induced Resonating-Valence-Bond Ground State in Certain $U=\infty$ Hubbard Models
• A resonant valence bond spin liquid in the dilute limit of doped frustrated Mott insulators
• Magnetic phase diagram of the infinite-U Hubbard model with nearest- and next nearest-neighbor hoppings
• Kinetic magnetism in the crossover between the square and triangular lattice Fermi-Hubbard models
• Instability of Nagaoka State and Quantum Phase Transition via Kinetic Frustration Control
• Topological frustration and structural balance in strongly correlated itinerant electron systems: an extension of Nagaoka's theorem
• Shaping Magnetic Order by Local Frustration for Itinerant Fermions on a Graph
• Optimal array geometries for kinetic magnetism and Nagaoka polarons
• Itinerant magnetism in Hubbard models with long-range interactions
• Spin-spiral instability of the Nagaoka ferromagnet in the crossover between square and triangular lattices