Universität zu Köln

Lichtenstein, J., de la Pena, D. Sanchez, Rohe, D., Di Napoli, E., Honerkamp, C. and Maier, S. A. (2017). High-performance functional Renormalization Group calculations for interacting fermions. Comput. Phys. Commun., 213. S. 100 - 111. AMSTERDAM: ELSEVIER SCIENCE BV. ISSN 1879-2944

Full text not available from this repository.

Abstract

We derive a novel computational scheme for functional Renormalization Group (fRG) calculations for interacting fermions on 2D lattices. The scheme is based on the exchange parametrization fRG for the twofermion interaction, with additional insertions of truncated partitions of unity. These insertions decouple the fermionic propagators from the exchange propagators and lead to a separation of the underlying equations. We demonstrate that this separation is numerically advantageous and may pave the way for refined, large-scale computational investigations even in the case of complex multiband systems. Furthermore, on the basis of speedup data gained from our implementation, it is shown that this new variant facilitates efficient calculations on a large number of multi-core CPUs. We apply the scheme to the t, t' Hubbard model on a square lattice to analyze the convergence of the results with the bond length of the truncation of the partition of unity. In most parameter areas, a fast convergence can be observed. Finally, we compare to previous results in order to relate our approach to other fRG studies. (C) 2017 Elsevier B.V. All rights reserved.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Lichtenstein, J. UNSPECIFIED UNSPECIFIED UNSPECIFIED de la Pena, D. Sanchez UNSPECIFIED UNSPECIFIED UNSPECIFIED Rohe, D. UNSPECIFIED UNSPECIFIED UNSPECIFIED Di Napoli, E. UNSPECIFIED UNSPECIFIED UNSPECIFIED Honerkamp, C. UNSPECIFIED UNSPECIFIED UNSPECIFIED Maier, S. A. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-236200
DOI:	10.1016/j.cpc.2016.12.013
Journal or Publication Title:	Comput. Phys. Commun.
Volume:	213
Page Range:	S. 100 - 111
Date:	2017
Publisher:	ELSEVIER SCIENCE BV
Place of Publication:	AMSTERDAM
ISSN:	1879-2944
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language Computer Science, Interdisciplinary Applications; Physics, Mathematical Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/23620