Dual Fermion Method for Disordered Electronic Systems

Abstract

While the coherent potential approximation (CPA) is the prevalent method for the study of disordered electronic systems, it fails to capture non-local correlations and Anderson localization. To incorporate such effects, we extend the dual fermion approach to disordered non-interacting systems using the replica method. Results for single- and two- particle quantities show good agreement with cluster extensions of the CPA; moreover, weak localization is captured. As a natural extension of the CPA, our method presents an alternative to the existing cluster theories. It can be used in various applications, including the study of disordered interacting systems, or for the description of non-local effects in electronic structure calculations.

5 pages, 4 figures

References in corpus (2)

• Anderson Transitions
• Dual fermion approach to the two-dimensional Hubbard model: Antiferromagnetic fluctuations and Fermi arcs

Cited by in corpus (12)

• Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory
• Systematic Quantum Cluster Typical Medium Method For the Study of Localization in Strongly Disordered Electronic Systems
• Momentum-Space Cluster Dual Fermion Method
• Dual-fermion approach to interacting disordered fermion systems
• Dynamical mean-field approach to disordered interacting systems and applications to quantum transport problem
• Dual-fermion approach to the Anderson-Hubbard model
• The Calculation of Two-Particle Quantities in the Typical Medium Dynamical Cluster Approximation
• Second-order dual fermion for multi-orbital systems
• Mean-field embedding of the dual fermion approach for correlated electron systems
• Quantum diffusion in a random potential: A consistent perturbation theory
• Optical properties of a disordered metallic film: local vs. collective phenomena
• Coherent cellular dynamical mean-field theory: a real-space quantum embedding approach to disorder in strongly correlated electron systems