Holon-Doublon Binding as the Mechanism for the Mott transition

Abstract

We study the binding of a holon to a doublon in a half-filled Hubbard model as the mechanism of the zero-temperature metal-insulator transition. In a spin polarized system and a non-bipartite lattice a single holon-doublon (HD) pair exhibits a binding transition (e.g., on a face-centred cubic lattice), or a sharp crossover (e.g., on a triangular lattice) corresponding well to the standard Mott transition in unpolarized systems. We extend the HD-pair study towards non-polarized systems by considering more general spin background and by treating the finite HD density within a BCS-type approximation. Both approaches lead to a discontinuous transition away from the fully polarized system and give density correlations consistent with numerical results on a triangular lattice.

6 pages, 4 figures

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• Dynamical slave-boson mean-field study of the Mott transition in the Hubbard model in the large-$z$ limit
• Spin diffusion and spin conductivity in the 2d Hubbard model
• Dynamic charge Kondo effect and a slave fermion approach to the Mott transition
• Slave fermion interpretation of the pseudogap in doped Mott insulators
• Topological charge excitations and Green's function zeros in paramagnetic Mott insulators
• Exact results for the Hubbard model on bipartite lattices in spatial dimensions $d>1$: Seven theorems from the full [SU(2)$\times$SU(2)$\times$U(1)]/${\mathbb{Z}}_2^2$ symmetry
• Probing quasiparticle excitations in a doped Mott insulator via Friedel oscillations