The Mott insulator - 10th order perturbation theory extended to infinite order using QMC

Details The Mott insulator - 10th order perturbation theory extended to infinite order using QMC The Mott insulator - 10th order perturbation theory extended to infinite order using QMC

2004-04-23

arxiv.org/abs/cond-mat/0404568v2

Phys. Rev. B 71, 195102 (2005)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 5 figures. Significant changes in introduction and summary; experimental reference added; Figs. 1 and 3 modified

Scientific paper

10.1103/PhysRevB.71.195102

We present a new method, based on the combination of analytical and numerical techniques within the framework of the dynamical mean-field theory (DMFT). Building upon numerically exact results obtained in an improved quantum Monte Carlo (QMC) scheme, 10th order strong-coupling perturbation theory for the Hubbard model on the Bethe lattice is extrapolated to infinite order. We obtain continuous estimates of energy E and double occupancy D with unprecedented precision O(10^{-5}) for the Mott insulator above its stability edge U_{c1}=4.78 as well as critical exponents. The relevance for recent experiments on Cr-doped V_2O_3 is pointed out.

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