Dual-fermion approach to interacting disordered fermion systems

Abstract

We generalize the recently introduced dual fermion (DF) formalism for disordered fermion systems by including the effect of interactions. For an interacting disordered system the contributions to the full vertex function have to be separated into elastic and inelastic scattering processes, and addressed differently when constructing the DF diagrams. By applying our approach to the Anderson-Falicov-Kimball model and systematically restoring the nonlocal correlations in the DF lattice calculation, we show a significant improvement over the Dynamical Mean-Field Theory and the Coherent Potential Approximation for both one-particle and two-particle quantities.

16 pages, 17 figures

References in corpus (4)

• Dynamical vertex approximation - a step beyond dynamical mean field theory
• Dual Fermion Method for Disordered Electronic Systems
• Mean-field embedding of the dual fermion approach for correlated electron systems
• Optical properties of a disordered metallic film: local vs. collective phenomena

Cited by in corpus (7)

• Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory
• Generic optical excitations of correlated systems: $\pi$-tons
• Hidden physics in the dual-fermion approach - a special case of a non-local expansion scheme
• Parquet dual fermion approach for the Falicov-Kimball model
• Dynamical mean-field approach to disordered interacting systems and applications to quantum transport problem
• Dual-fermion approach to the Anderson-Hubbard model
• Second-order dual fermion for multi-orbital systems