Abstract
Abstract
The recently introduced single-boson exchange (SBE) decomposition of the four-point vertex of interacting fermionic many-body systems is a conceptually and computationally appealing parametrization of the vertex. It relies on the notion of reducibility of vertex diagrams with respect to the bare interaction U, instead of a classification based on two-particle reducibility within the widely used parquet decomposition. Here, we re-derive the SBE decomposition in a generalized framework (suitable for extensions to, e.g., inhomogeneous systems or real-frequency treatments) following from the parquet equations. We then derive multiloop functional renormalization group (mfRG) flow equations for the ingredients of this SBE decomposition, both in the parquet approximation, where the fully two-particle irreducible vertex is treated as an input, and in the more restrictive SBE approximation, where this role is taken by the fully U-irreducible vertex. Moreover, we give mfRG flow equations for the popular parametrization of the vertex in terms of asymptotic classes of the two-particle reducible vertices. Since the parquet and SBE decompositions are closely related, their mfRG flow equations are very similar in structure.
Graphic abstract
Funder
International Max Planck Research School for Quantum Science and Technology
Munich Quantum Valley
Alexander von Humboldt-Stiftung
Germany’s Excellence Strategy EXC-2111
Publisher
Springer Science and Business Media LLC
Subject
Condensed Matter Physics,Electronic, Optical and Magnetic Materials
Reference53 articles.
1. T. Schäfer, N. Wentzell, F. Šimkovic, Y.Y. He, C. Hille, M. Klett, C.J. Eckhardt, B. Arzhang, V. Harkov, F.M. Le Régent et al., Phys. Rev. X 11, 011058 (2021)
2. W. Metzner, M. Salmhofer, C. Honerkamp, V. Meden, K. Schönhammer, Rev. Mod. Phys. 84, 299 (2012)
3. P. Kopietz, L. Bartosch, F. Schütz, Introduction to the Functional Renormalization Group, vol. 798 (Springer, Berlin, 2010)
4. J. Diekmann, S.G. Jakobs, Phys. Rev. B 103, 155156 (2021)
5. F.B. Kugler, J. von Delft, Phys. Rev. B 97 (2018)
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献