Classical Antiferromagnetism in Kinetically Frustrated Electronic Models

Abstract

We study the infinite U Hubbard model with one hole doped away half-filling, in triangular and square lattices with frustrated hoppings that invalidate Nagaoka's theorem, by means of the density matrix renormalization group. We find that these kinetically frustrated models have antiferromagnetic ground states with classical local magnetization in the thermodynamic limit. We identify the mechanism of this kinetic antiferromagnetism with the release of the kinetic energy frustration as the hole moves in the established antiferromagnetic background. This release can occurs in two different ways: by a non-trivial spin-Berry phase acquired by the hole or by the effective vanishing of the hopping amplitude along the frustrating loops.

12 pages and 4 figures, with Supplementary Material. To be published in Phys. Rev. Lett

References in corpus (5)

• Magnetism and superconductivity of strongly correlated electrons on the triangular lattice
• Finite temperature properties of the triangular lattice t-J model, applications to Na${}_x$CoO${}_2$
• Spontaneous time-reversal symmetry breaking for spinless fermions on a triangular lattice
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