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We present a highly parallelisable scheme for treating functional Renormalisation Group equations which incorporates a quasi-particle-based feedback on the flow and provides direct access to real-frequency self-energy data. This allows to…

Strongly Correlated Electrons · Physics 2020-12-09 D. Rohe , C. Honerkamp

We present a general frame to extend functional renormalization group (fRG) based computational schemes by using an exactly solvable interacting reference problem as starting point for the RG flow. The systematic expansion around this…

Strongly Correlated Electrons · Physics 2015-02-11 Nils Wentzell , Ciro Taranto , Andrey A. Katanin , Alessandro Toschi , Sabine Andergassen

In correlated electron materials, the application of many-body techniques for the study of interaction effects or unconventional superconductivity often requires the formulation of an effective low-energy model that contains only the…

Strongly Correlated Electrons · Physics 2013-05-30 Carsten Honerkamp

Technological progress in material synthesis, as well as artificial realization of condensed matter scenarios via ultra-cold atomic gases in optical lattices or epitaxial growth of thin films, is opening the gate to investigate a plethora…

Superconductivity · Physics 2015-06-17 Christian Platt , Werner Hanke , Ronny Thomale

We discuss a two-point particle irreducible (2PPI) approach to many-body physics which relies on a renormalization group (RG) flow equation for the associated effective action. In particular, the general structure and properties of this RG…

Nuclear Theory · Physics 2015-06-15 Sandra Kemler , Jens Braun

Renormalization group methods can be applied to the nuclear many-body problem using the approach proposed by Shankar. We start with the two-body low momentum interaction V_{low k} and use the RG flow from the particle-hole channels to…

Nuclear Theory · Physics 2008-11-26 Achim Schwenk , Bengt Friman , Gerald E. Brown

We propose a novel parametrization of the four-point vertex function in the one-loop one-particle irreducible renormalization group (RG) scheme for fermions. It is based on a decomposition of the effective two-fermion interaction into…

Strongly Correlated Electrons · Physics 2009-02-11 Christoph Husemann , Manfred Salmhofer

We apply the finite-temperature renormalization-group (RG) to a model based on an effective action with a short-range repulsive interaction and a rotation invariant Fermi surface. The basic quantities of Fermi liquid theory, the Landau…

Strongly Correlated Electrons · Physics 2009-10-30 Guennady Y. Chitov , D. Senechal

We discuss renormalization group approaches to strongly interacting Fermi systems, in the context of Landau's theory of Fermi liquids and functional methods, and their application to neutron matter.

Nuclear Theory · Physics 2012-08-17 B. Friman , K. Hebeler , A. Schwenk

We study the interplay of interactions and disorder in a one-dimensional fermion lattice coupled adiabatically to infinite reservoirs. We employ both the functional renormalization group (FRG) as well as matrix product state techniques,…

Strongly Correlated Electrons · Physics 2015-09-16 C. Karrasch , J. E. Moore

Fermionic functional renormalization group (FRG) is applied to describe the superfluid phase transition of the two-component fermionic system with attractive contact interaction. Connection between the fermionic FRG approach and the…

Quantum Gases · Physics 2014-04-25 Yuya Tanizaki , Gergely Fejős , Tetsuo Hatsuda

Inspired by the superblock method of White, we introduce a simple modification of the standard Renormalization Group (RG) technique for the study of quantum lattice systems. Our method which takes into account the effect of Boundary…

Statistical Mechanics · Physics 2009-10-28 A. Langari , V. Karimipour

We apply field theoretical renormalization group (RG) methods to describe the Tomonaga-Luttinger model as an important test ground to deal with spin-charge separation effects in higher spatial dimensions. We compute the anomalous dimension…

Strongly Correlated Electrons · Physics 2011-04-11 A. Ferraz

The functional renormalization group (fRG) is acknowledged as a powerful tool in quantum many-body physics and beyond. On the technical side, conventional implementations of the fRG rely on regulators for bare propagators only. Starting…

Strongly Correlated Electrons · Physics 2026-04-09 Aiman Al-Eryani , Marcel Gievers , Kilian Fraboulet

We propose a nonperturbative renormalization-group (NPRG) approach to fermion systems in the two-particle-irreducible (2PI) effective action formalism, based on an exact RG equation for the Luttinger-Ward functional. This approach enables…

Strongly Correlated Electrons · Physics 2014-01-27 N. Dupuis

We consider systems of non-relativistic, interacting electrons at finite density and zero temperature in d = 2, 3, ... dimensions. Our main concern is to characterize those systems that, under the renormalization flow, are driven away from…

Condensed Matter · Physics 2007-05-23 Juerg Froehlich , Roland Goetschmann

We present a functional renormalization group flow for many-fermion lattice models into phases with broken spin-rotational symmetry. The flow is expressed purely in terms of fermionic vertex functions. The symmetry breaking is seeded by a…

Strongly Correlated Electrons · Physics 2012-10-11 Stefan A. Maier , Carsten Honerkamp

We describe an efficient approximation for the electron-electron interaction in the determination of the low-energy effective interaction in multiband lattice systems. By using ideas for channel decomposition, form-factor expansion and the…

Strongly Correlated Electrons · Physics 2018-10-24 Carsten Honerkamp

We set up the Functional Renormalisation Group formalism for Tensorial Group Field Theory in full generality. We then apply it to a rank-3 model over U(1) x U(1) x U(1), endowed with a linear kinetic term and nonlocal interactions. The…

High Energy Physics - Theory · Physics 2015-07-09 Dario Benedetti , Joseph Ben Geloun , Daniele Oriti

We propose a new parametrization of the four-point vertex function in the one-loop one-particle irreducible renormalization group (RG) scheme for fermions. It is based on a decomposition of the effective two-fermion interaction into fermion…

Strongly Correlated Electrons · Physics 2013-05-29 Christoph Husemann , Manfred Salmhofer