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

TL;DR

This paper investigates the effects of next-nearest neighbor hopping on the magnetic and metal-insulator transitions in the half-filled Hubbard model on a Bethe lattice, revealing a complex phase diagram with a novel magnetic phase.

Contribution

It introduces an analysis of the Hubbard model with next-nearest neighbor hopping on a Bethe lattice, highlighting the emergence of a new magnetic phase near the metal-insulator transition.

Findings

PMIT outgrows antiferromagnetic phase near t2/t1→1

Discovery of a novel magnetic phase in this regime

Behavior similar to V2O3 in certain parameters

Abstract

We study the interplay between N\'eel-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.