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VOLUME 86 | ISSUE 10 | PAGE 769
Cluster Dual Fermion Approach to Nonlocal Correlations
H. Hafermann+, S. Brener+, A. N. Rubtsov, M. I. Katsnelson*, A. I. Lichtenstein+

Department of Physics, Moscow State University, 119992 Moscow, Russia
+I. Institute of Theoretical Physics, University of Hamburg, 20355 Hamburg, Germany
*Institute for Molecules and Materials, Radboud University, 6525 ED Nijmegen, The Netherlands

PACS: 71.10.Fd, 71.15.-m, 71.27.+a
We formulate a general cluster Dual Fermion Approach to nonlocal correlations in crystals. The scheme allows the treatment of long-range correlations beyond the cluster DMFT and nonlocal effects in realistic calculations of multiorbital systems. We show that the simplest approximation exactly corresponds to the free-cluster DMFT. We apply this approach to the one-dimensional Hubbard model. Already the first dual-fermion correction to the free cluster leads to a drastic improvement of the calculated Green function.

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