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TT: Fachverband Tiefe Temperaturen

TT 51: Correlated Electrons: General Theory 1

TT 51.7: Vortrag

Donnerstag, 14. März 2013, 11:15–11:30, H6

Using Dual Bosons to go beyond EDMFT — •E.G.C.P. van Loon^1,2, A.B.J. Wilhelm¹, H. Hafermann³, A.N. Rubtsov⁴, M.I. Katsnelson², and A.I. Lichtenstein¹ — ¹I. Institut für Theoretische Physik, Universität Hamburg, Jungiusstraße 9, 20355 Hamburg — ²Institute of Molecules and Materials, Radboud University Nijmegen, Heyendaalseweg 135, 6525 AJ Nijmegen, The Netherlands — ³Centre de Physique Théorique, Ecole Polytechnique, CNRS, F-91128 Palaiseau Cedex, France — ⁴Department of Physics, Moscow State University, 119992 Moscow, Russia

DMFT is widely used to study models of condensed matter. A problem of interacting particles is mapped onto a self-consistent impurity problem. It is exact in infinite dimension but in finite dimension it does not describe non-local effects. Dual fermions provide a way to incorporate these non-local effects beyond DMFT. Dual bosons can then be used to describe collective modes. In zeroth order, Dual Bosons correspond to EDMFT. Plasmons in Hubbard-like models can be studied using these theories. We present a new technique to use the method of Dual Bosons to self-consistently calculate the effects of these collective bosonic modes in a two dimensional Hubbard model on a square lattice. The hybridization solver from the ALPS project is used to solve an impurity model with retarded interaction. Self-energy diagrams are calculated with the resulting quantities to include non-local effects. We first present benchmark results. Then our results are compared with EDMFT results.