Dual fermion approach for disordered interacting fermion systems

ORAL

Abstract

Understanding the combined effect of electron-electron interaction and disorder is one of the crucial questions in condensed matter physics. There is an obvious need of theoretical tools which allow to treat both these effects on equal footing. To study the intricate interplay of these effects, we generalize our recently proposed dual fermion approach to include both electron-electron interaction and disorder. Since the constraint imposed on the dual-space Feynman diagrams in the disordered case does not apply to those generated due to interactions, it is essential to treat elastic scattering processes due to the disorder separately from the inelastic scattering processes due to the pure interaction and mixed contributions. I will discuss the resulting diagrammatic formalism and an algorithm for its implementation. The possible applications for the Anderson Falicov-Kimball and the Anderson-Hubbard models are also discussed.

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Authors

  • Shuxiang Yang

    Louisiana State University, Department of Physics and Astronomy, Louisiana State University

  • Patrick Haase

    University of Goettingen

  • Hanna Terletska

    Louisiana State University, Brookhaven National Laboratory

  • Ziyang Meng

    Louisiana State University

  • Juana Moreno

    Louisiana State University, Louisiana State University, Baton Rouge, LA

  • Mark Jarrell

    Louisiana State University, Department of Physics and Astronomy, Center for Computation and Technology, Louisiana State University, Louisiana State University, Baton Rouge, LA

  • Thomas Pruschke

    University of Goettingen, Institute for Theoretical Physics, University of G\"ottingen, Germany