Half-filled Hubbard Model on a Bethe lattice with next-nearest neighbor hopping

Abstract

We study the interplay between Néel-antiferromagnetism and the paramagnetic metal-insulator-transition (PMIT) on a Bethe lattice with nearest and next-nearest eighbor hopping $t_1$ and $t_2$. We concentrate in this paper on the situation at half-filling. For $t_2/t_1\to 1$ the PMIT outgrows the antiferromagnetic phase and shows a scenario similar to V${}_2$O${}_3$. In this parameter regime we also observe a novel magnetic phase.

arXiv comment8 pages, 10 figures

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