Insulating phases of the infinite-dimensional Hubbard model
Abstract
A theory is developed for the T=0 Mott-Hubbard insulating phases of the infinite-dimensional Hubbard model at half-filling, including both the antiferromagnetic (AF) and paramagnetic (P) insulators. Local moments are introduced explicitly from the outset, enabling ready identification of the dominant low energy scales for insulating spin- flip excitations. Dynamical coupling of single-particle processes to the spin-flip excitations leads to a renormalized self-consistent description of the single-particle propagators that is shown to be asymptotically exact in strong coupling, for both the AF and P phases. For the AF case, the resultant theory is applicable over the entire U-range, and is discussed in some detail. For the P phase, we consider in particular the destruction of the Mott insulator, the resultant critical behaviour of which is found to stem inherently from proper inclusion of the spin-flip excitations.
Keywords
Cite
@article{arxiv.cond-mat/9706053,
title = {Insulating phases of the infinite-dimensional Hubbard model},
author = {David E. Logan and Michael P. Eastwood and Michael A. Tusch},
journal= {arXiv preprint arXiv:cond-mat/9706053},
year = {2009}
}
Comments
13 pages Revtex, 12 postscript figures