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Merging numerical renormalization group and intermediate representation to compactify two- and three-point correlators

Authors :
Huber, Sebastian
Wallerberger, Markus
Worm, Paul
Held, Karsten
Publication Year :
2022

Abstract

The vanguard of many-body theory is nowadays dealing with the full frequency dynamics of n-point Green's functions for n higher than two. Numerically, these objects easily become a memory bottleneck, even when working with discrete imaginary-time Matsubara frequencies. Here, we use the intermediate representation (IR) to compactify the two-point Green's function and three-point Fermion-Bose vertex directly on the real frequency axis, on the basis of numerical renormalization group (NRG) data. We empirically observe an upper bound of the relative error when comparing the IR reconstructed signal with the original NRG data, and demonstrate that a IR compacification is possible.<br />Comment: 15 pages, 12 figures

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2207.01681
Document Type :
Working Paper