Exact single spin flip for the Hubbard model in $d=\infty$

Abstract

It is shown that the dynamics of a single $\downarrow$-electron interacting with a band of $\uparrow$-electrons can be calculated exactly in the limit of infinite dimension. The corresponding Green function is determined as a continued fraction. It is used to investigate the stability of saturated ferromagnetism and the nature of the ground state for two generic non-bipartite infinite dimensional lattices. Non Fermi liquid behavior is found. For certain dopings the $\downarrow$-electron is bound to the $\uparrow$-holes.

4 pages, 3 figures included with psfig, Revtex; Phys. Rev. Lett. in press; some amendments made to clarify the calculation of the self-energy, the extrapolation of the continued fraction, and the statements on Fermi-liquid theory

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• Single-Particle Dynamics in the Vicinity of the Mott-Hubbard Metal-to-Insulator Transition
• Systematic Mapping of the Hubbard Model to the Generalized t-J Model
• Emergent Collective Modes and Kinks in Electronic Dispersions
• Ferromagnetism in the t-t' Hubbard model: interplay of lattice, band dispersion, and interaction effects studied within a Goldstone-mode preserving scheme
• Variational cluster approach to ferromagnetism in infinite dimensions and in one-dimensional chains
• Ferromagnetism in the Hubbard model: Influence of the lattice structure
• Polaronic mechanism of Nagaoka ferromagnetism in Hubbard models
• The role of correlated hopping in many-body physics of flat-band systems: Nagaoka ferromagnetism
• Ferromagnetism and the temperature-dependent electronic structure in thin Hubbard films
• Quantum Lifshitz point in the infinite dimensional Hubbard model
• Influence of spin-flip scattering on the stability of ferromagnetism in a two-band Hubbard model
• Comment on "Robustness of a Local Fermi Liquid against Ferromagnetism and Phase Separation"