Universality of vertex corrections to the electrical conductivity in models with elastically scattered electrons

Abstract

We study quantum coherence of elastically scattered lattice fermions. We calculate vertex corrections to the electrical conductivity of electrons scattered either on thermally equilibrated or statically distributed random impurities. We demonstrate that the sign of the vertex corrections to the Drude conductivity is in both cases negative. Quantum coherence due to elastic back-scatterings always leads to diminution of diffusion.

ReVTEX, 9 pages, 8 EPS figures

References in corpus (2)

• Quantum phases in mixtures of fermionic atoms
• Ground-state properties of fermionic mixtures with mass imbalance in optical lattices

Cited by in corpus (8)

• Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory
• Critical metal-insulator transition and divergence in a two-particle irreducible vertex in disordered and interacting electron systems
• Nonlocal correlations and spectral properties of the Falicov-Kimball model
• Parquet dual fermion approach for the Falicov-Kimball model
• Local correlation functions of arbitrary order for the Falicov-Kimball model
• Dual-fermion approach to interacting disordered fermion systems
• Effect of vertex corrections on the longitudinal transport through multilayered nanostructures: Exact dynamical mean-field theory approach applied to the inhomogeneous Falicov-Kimball model
• Vertex corrections to the mean-field electrical conductivity in strongly disordered electron systems