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.

8 pages, 10 figures

References in corpus (14)

• The numerical renormalization group method for quantum impurity systems
• Mott Transition from a Spin Liquid to a Fermi Liquid in the Spin-Frustrated Organic Conductor kappa-(ET)2Cu2(CN)3
• Mott Transition, Antiferromagnetism, and d-wave Superconductivity in Two-Dimensional Organic Conductors
• Mott Transitions and d-wave Superconductivity in Half-Filled-Band Hubbard Model on Square Lattice with Geometric Frustration
• Finite temperature Mott transition in Hubbard model on anisotropic triangular lattice
• Superconductivity and a Mott Transition in a Hubbard Model on an Anisotropic Triangular Lattice
• Exact diagonalization study of Mott transition in the Hubbard model on an anisotropic triangular lattice
• Hopping on the Bethe lattice: Exact results for densities of states and dynamical mean-field theory
• Magnetism and d-wave superconductivity on the half-filled square lattice with frustration
• Dynamical mean field study of the Mott transition in the half-filled Hubbard model on a triangular lattice
• Real space imaging of the metal - insulator phase separation in the band width controlled organic Mott system $\kappa$-(BEDT-TTF)${}_2$Cu[N(CN)${}_2$]Br
• Phase separation in the particle-hole asymmetric Hubbard model
• Green functions for nearest- and next-nearest-neighbor hopping on the Bethe lattice
• Mott transition and superconductivity in the strongly correlated organic superconductor $\kappa$-(BEDT-TTF)${}_2$Cu[N(CN)${}_2]$Br

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• Spin Density Waves in the Hubbard model - A DMFT approach
• Spectral properties of the three-dimensional Hubbard model
• Local moments versus itinerant antiferromagnetism: magnetic phase diagram and spectral properties of the anisotropic square lattice Hubbard model
• Suppression of the Mott insulating phase in the particle-hole asymmetric Hubbard model
• Topological states and flat bands in exactly solvable decorated Cayley trees