Efficient perturbation theory for quantum lattice models

Details Efficient perturbation theory for quantum lattice models Efficient perturbation theory for quantum lattice models

2008-12-12

arxiv.org/abs/0812.2456v2

Phys. Rev. Lett. 102, 206401 (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 5 figures; revised version with emphasis on the ladder approximation

Scientific paper

We present a novel approach to long-range correlations beyond dynamical mean-field theory through a ladder approximation to dual fermions. The new technique is applied to the two-dimensional Hubbard model. We demonstrate that the transformed perturbation series for the nonlocal dual fermions has superior convergence properties over standard diagrammatic techniques. The critical Neel temperature of the mean-field solution is suppressed in the ladder approximation, in accordance with quantum Monte-Carlo (QMC) results. An illustration of how the approach captures and allows to distinguish short- and long-range correlations is given.

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