Evolution of Nagaoka phase with kinetic energy frustrating hopping

We investigate, using the density-matrix renormalization group, the evolution of the Nagaoka state with t′ hopping that frustrates the hole kinetic energy in the U=∞ Hubbard model on the square and anisotropic triangular lattices. We find that the Nagaoka ferromagnet survives up to a rather small t&...

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Autores principales: Lisandrini, Franco Thomas, Bravo, Bárbara, Trumper, Adolfo Emilio, Manuel, Luis Oscar, Gazza, Claudio Javier
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2017
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/102240
https://ri.conicet.gov.ar/11336/50493
https://journals.aps.org/prb/abstract/10.1103/PhysRevB.95.195103
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Sumario:We investigate, using the density-matrix renormalization group, the evolution of the Nagaoka state with t′ hopping that frustrates the hole kinetic energy in the U=∞ Hubbard model on the square and anisotropic triangular lattices. We find that the Nagaoka ferromagnet survives up to a rather small t'c/t∼0.2. At this critical value, there is a transition to an antiferromagnetic phase that depends on the lattice: a Q=(Q,0) spiral order, which continuously evolves with t′, for the triangular lattice and the usual Q=(π,π) Néel order for the square lattice. Remarkably, the local magnetization takes its classical value for all considered t′ (t′/t≤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.