Evolution of Nagaoka phase with kinetic energy frustrating hopping

LISANDRINI, F. T.; BRAVO, B.; TRUMPER, A. E.; MANUEL, L. O.; GAZZA, C. J.

Physical Review B

American Physical Society

Lugar: New York; Año: 2017 vol. 95 p. 1951031 - 1951036

2469-9950

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 infinite 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 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.