Insulating phases of the infinite-dimensional Hubbard model

Details Insulating phases of the infinite-dimensional Hubbard model Insulating phases of the infinite-dimensional Hubbard model

1997-06-06

arxiv.org/abs/cond-mat/9706053v1

J. Phys.: Condensed Matter 9 (1997) 4211

Physics

Condensed Matter

Strongly Correlated Electrons

13 pages Revtex, 12 postscript figures

Scientific paper

10.1088/0953-8984/9/20/019

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.

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