Parallel adaptive integration in high-performance functional renormalization group computations

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Abstract

The conceptual framework provided by the functional Renormalization Group (fRG) has become a formidable tool to study correlated electron systems on lattices which, in turn, provided great insights to our understanding of complex many-body phenomena, such as hightemperature superconductivity or topological states of matter. In this work we present one of the latest realizations of fRG which makes use of an adaptive numerical quadrature scheme specifically tailored to the described fRG scheme. The final result is an increase in performance thanks to improved parallelism and scalability.

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Lichtenstein, J., Winkelmann, J., De La Peña, D. S., Vidović, T., & Di Napoli, E. (2017). Parallel adaptive integration in high-performance functional renormalization group computations. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 10164 LNCS, pp. 170–184). Springer Verlag. https://doi.org/10.1007/978-3-319-53862-4_15

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