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We apply the fermion functional renormalization group method to determine the pairing symmetry and pairing mechanism of the FeAs-Based materials. Within a five band model with pure repulsive interactions, we find an electronic-driven…

Superconductivity · Physics 2009-11-13 Fa Wang , Hui Zhai , Ying Ran , Ashvin Vishwanath , Dung-Hai Lee

We present a renormalization group (RG) analysis of a fermionic "hot spot" model of interacting electrons on the square lattice. We truncate the Fermi surface excitations to linearly dispersing quasiparticles in the vicinity of eight hot…

Superconductivity · Physics 2014-09-17 Seth Whitsitt , Subir Sachdev

Making a combined use of bosonization and fermionization techniques, we build nonlocal transformations between dual fermion operators, describing junctions of strongly interacting spinful one-dimensional quantum wires. Our approach allows…

Strongly Correlated Electrons · Physics 2015-09-30 Domenico Giuliano , Andrea Nava

A class of continuous renormalization group flows with a dynamical adjustment of the propagator is introduced and studied theoretically for fermionic and bosonic quantum field theories. The adjustment allows to include self--energy effects…

Statistical Mechanics · Physics 2009-11-11 Manfred Salmhofer

We explore the universal properties of interacting fermionic lattice systems, mostly focusing on the development of pairing correlations from attractive interactions. Using renormalization group we identify a large number of fixed points…

Strongly Correlated Electrons · Physics 2013-05-29 Predrag Nikolic

A new mechanism is proposed to explain the puzzling damping of collective excitations, which was recently observed in the experiments of strongly interacting Fermi gases below the superfluid critical temperature on the fermionic (BCS) side…

Quantum Gases · Physics 2011-03-01 Zixu Zhang , W. Vincent Liu

Fermionic superfluidity in atomic Fermi gases across a Feshbach resonance is normally described by the atom-molecule theory, which treats the closed channel as a noninteracting point boson. In this work we present a theoretical description…

Quantum Gases · Physics 2015-02-24 Lianyi He , Hui Hu , Xia-Ji Liu

We derive a differential equation for the one-particle-irreducible vertex functions of interacting fermions as a function of the temperature. Formally, these equations correspond to a Wilsonian renormalization group scheme which uses the…

Strongly Correlated Electrons · Physics 2009-11-07 Carsten Honerkamp , Manfred Salmhofer

At strong on-site repulsion $ U $, the fermionic Hubbard model realizes an extremely correlated electron system. In this regime, it is natural to derive the low-energy physics with the help of non-canonical operators acting on a projected…

Strongly Correlated Electrons · Physics 2026-04-27 Jonas Arnold , Peter Kopietz , Andreas Rückriegel

We experimentally determined various thermodynamic quantities of interacting two-component fermions at the zero-temperature limit from the Bardeen-Cooper-Schrieffer (BCS) region to the unitarity limit. The obtained results are very accurate…

The critical behavior of the chiral quark-meson model is studied within the Functional Renormalization Group (FRG). We derive the flow equation for the scale dependent thermodynamic potential at finite temperature and density in the…

High Energy Physics - Phenomenology · Physics 2014-11-18 B. Stokic , B. Friman , K. Redlich

We propose new approach for treatment of local and non-local interactions in correlated electronic systems, which uses self-energy and the two-particle irreducible vertices, obtained from (extended) dynamical mean-field theory, as an input…

Strongly Correlated Electrons · Physics 2019-03-12 A. A. Katanin

We present the numerical solution of the renormalization group (RG) equations derived in Ref. [1], for the problem of superconductivity in the presence of both electron-electron and electron-phonon coupling at zero temperature. We study the…

Superconductivity · Physics 2007-10-30 S. -W. Tsai , A. H. Castro Neto , R. Shankar , D. K. Campbell

In one-dimensional quantum wires the interplay of electron correlations and impurities strongly influences the low-energy physics. The diversity of energy scales and the competition of correlations in interacting Fermi systems can be…

Strongly Correlated Electrons · Physics 2024-09-02 Sabine Andergassen

In various multiorbital systems, the emergence of the orbital fluctuations and its role on the pairing mechanism attract increasing attention. To archive deep understanding on these issues, we perform the functional-renormalization-group…

Superconductivity · Physics 2016-10-03 Rina Tazai , Youichi Yamakawa , Masahisa Tsuchiizu , Hiroshi Kontani

We study a mixture of ultracold spin-half fermionic and spin-one bosonic atoms in a shallow optical lattice where the bosons are coupled to the fermions via both density-density and spin-spin interactions. We consider the parameter regime…

Strongly Correlated Electrons · Physics 2013-10-29 S. Modak , S. -W. Tsai , K. Sengupta

Approximated functional renormalization group (FRG) equations lead to regulator-dependent $\beta$-functions, in analogy to the scheme-dependence of the perturbative renormalization group (pRG) approach. A scheme transformation redefines the…

High Energy Physics - Theory · Physics 2024-07-16 S. Hariharakrishnan , U. D. Jentschura , I. G. Marian , K. Szabo , I. Nandori

In order to find reliable and efficient numerical approximation schemes, we suggest to identify the Functional Renormalization Group flow equations of one-particle irreducible two-point functions as Hamilton-Jacobi(-Bellman)-type partial…

High Energy Physics - Theory · Physics 2025-12-30 Adrian Koenigstein , Martin J. Steil , Stefan Floerchinger

In this paper we present an overview on recent progress in studies of QCD at finite temperature and densities within the functional renormalization group (fRG) approach. The fRG is a nonperturbative continuum field approach, in which…

High Energy Physics - Phenomenology · Physics 2022-09-28 Wei-jie Fu

The functional renormalization group (FRG) provides a flexible tool to study correlations in low-dimensional electronic systems. In this paper, we present a novel FRG approach to the steady-state of quantum wires out of thermal equilibrium.…

Strongly Correlated Electrons · Physics 2020-12-08 Christian Klöckner , Dante Marvin Kennes , Christoph Karrasch