Dual Fermion Dynamical Cluster Approach for Strongly Correlated Systems

Details Dual Fermion Dynamical Cluster Approach for Strongly Correlated Systems Dual Fermion Dynamical Cluster Approach for Strongly Correlated Systems

2011-04-19

arxiv.org/abs/1104.3854v3

Phys. Rev. B 84, 155106 (2011)

Physics

Condensed Matter

Strongly Correlated Electrons

Scientific paper

10.1103/PhysRevB.84.155106

We have designed a new multi-scale approach for Strongly Correlated Systems by combining the Dynamical Cluster Approximation (DCA) and the recently introduced dual-fermion formalism. This approach employs an exact mapping from a real lattice to a DCA cluster of linear size Lc embedded in a dual fermion lattice. Short-length-scale physics is addressed by the DCA cluster calculation, while longer-length-scale physics is addressed diagrammatically using dual fermions. The bare and dressed dual Fermionic Green functions scale as O(1/Lc) so perturbation theory on the dual lattice converges very quickly. E.g., the dual Fermion self-energy calculated with simple second order perturbation theory is of order O(1/Lc^3), with third order and three body corrections down by an additional factor of O(1/Lc^2).

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