Exact single spin flip for the Hubbard model in $d=\infty$
Condensed Matter
2009-10-28 v2
Abstract
It is shown that the dynamics of a single -electron interacting with a band of -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 -electron is bound to the -holes.
Keywords
Cite
@article{arxiv.cond-mat/9603031,
title = {Exact single spin flip for the Hubbard model in $d=\infty$},
author = {Goetz S. Uhrig},
journal= {arXiv preprint arXiv:cond-mat/9603031},
year = {2009}
}
Comments
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