opendf - an implementation of the dual fermion method for strongly correlated systems

Abstract

The dual fermion method is a multiscale approach for solving lattice problems of interacting strongly correlated systems. In this paper, we present the \texttt{opendf} code, an open-source implementation of the dual fermion method applicable to fermionic single-orbital lattice models in dimensions $D=1,2,3$ and $4$. The method is built on a dynamical mean field starting point, which neglects all local correlations, and perturbatively adds spatial correlations. Our code is distributed as an open-source package under the GNU public license version 2.

7 pages, 6 figures, 28th Annual CSP Workshop proceedings

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• Role of three-particle vertex within dual fermion calculations
• Algorithmic approach to diagrammatic expansions for real-frequency evaluation of susceptibility functions
• Auxiliary master equation for nonequilibrium dual-fermion approach
• Magnetic and charge susceptibilities in the half-filled triangular lattice Hubbard model
• Magnetic Susceptibility and Simulated Neutron Signal in the 2D Hubbard Model
• Momentum-Space Cluster Dual Fermion Method
• One- and two-particle properties of the weakly interacting two-dimensional Hubbard model in proximity to the van Hove singularity
• Fluctuation diagnostics of the finite temperature quasi-antiferromagnetic regime of the 2D Hubbard model
• Magnetic phases of the anisotropic triangular lattice Hubbard model
• Nonequilibrium dual-boson approach