Efficient treatment of two-particle vertices in dynamical mean-field theory
arXiv:1010.3809 · doi:10.1103/PhysRevB.83.085102
Abstract
We present an efficient and numerically stable algorithm for calculation of two-particle response functions within the dynamical mean-field theory. The technique is based on inferring the high frequency asymptotic behavior of the irreducible vertex function from the local dynamical susceptibility. The algorithm is tested on several examples. In all cases rapid convergence of the vertex function towards its asymptotic form is observed.
8 pages, 9 figures, revised acknowledgement
References in corpus (7)
- Dynamical vertex approximation - a step beyond dynamical mean field theory
- Influence of Spatial Correlations in Strongly Correlated Electron Systems: Extension to Dynamical Mean Field Approximation
- Dual Fermion Approach to Susceptibility of Correlated Lattice Fermions
- Temperature dependent correlations in covalent insulators
- Correlations in a band insulator
- Ferromagnetism and Kondo Insulator Behavior in the Disordered Periodic Anderson Model
- Fourier transformation and response functions
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