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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 derive two-loop renormalization-group equations for the half-filled one-dimensional Hubbard chains coupled by the interchain hopping. Our renormalization-group scheme for the quasi-one-dimensional electron system is a natural extension…

Strongly Correlated Electrons · Physics 2007-05-23 M. Tsuchiizu

The interplay and competition of magnetic and superconducting correlations in the weakly interacting two-dimensional Hubbard Model is investigated by means of the functional renormalization group. At zero temperature the flow of…

Strongly Correlated Electrons · Physics 2009-11-11 W. Metzner , J. Reiss , D. Rohe

Using the recently introduced multiloop extension of the functional renormalization group, we compute the magnetic, density, and superconducting susceptibilities of the two-dimensional Hubbard model at weak coupling and present a detailed…

Strongly Correlated Electrons · Physics 2023-08-16 Sarah Heinzelmann , Alessandro Toschi , Sabine Andergassen

Using the recently introduced multiloop extension of the functional renormalization group, we compute the frequency- and momentum-dependent self-energy of the two-dimensional Hubbard model at half filling and weak coupling. We show that, in…

Strongly Correlated Electrons · Physics 2020-07-16 Cornelia Hille , Daniel Rohe , Carsten Honerkamp , Sabine Andergassen

Using the one-loop functional renormalization group technique we evaluate the self-energy in the weak-coupling regime of the 2D t-t' Hubbard model. At van Hove (vH) band fillings and at low temperatures the quasiparticle weight along the…

Strongly Correlated Electrons · Physics 2009-11-10 A. A. Katanin , A. P. Kampf

Using the N-patch renormalization group method we investigate the flow of the quasiparticle weight in one-dimensional, weakly two-dimensional and fully two-dimensional Hubbard models. In one dimension we reproduce the Luttinger exponent…

Superconductivity · Physics 2009-11-07 Carsten Honerkamp , Manfred Salmhofer

We present a functional renormalization group (fRG) study of the two dimensional Hubbard model, performed with an algorithmic implementation which lifts some of the common approximations made in fRG calculations. In particular, in our fRG…

Strongly Correlated Electrons · Physics 2019-10-23 Agnese Tagliavini , Cornelia Hille , Fabian B. Kugler , Sabine Andergassen , Alessandro Toschi , Carsten Honerkamp

Phase diagrams of the two-dimensional one-band t-t' Hubbard model are obtained within the two-patch and the temperature-cutoff many-patch renormalization group approach. At small t' and at van Hove band fillings antiferromagnetism…

Strongly Correlated Electrons · Physics 2009-11-10 A. A. Katanin , A. P. Kampf

The phases with spontaneously broken symmetries corresponding to antiferromagnetic and d-wave superconducting order in the two-dimensional t-t'-Hubbard model are investigated by means of the functional renormalization group. The…

Strongly Correlated Electrons · Physics 2013-05-29 Simon Friederich , Hans Christian Krahl , Christof Wetterich

We compare the one-loop renormalization group flow to strong coupling of the electronic interactions in the two-dimensional t-t'-Hubbard model with t'=-0.3t for band fillings smaller and larger than half-filling. Using a numerical N-patch…

Strongly Correlated Electrons · Physics 2009-11-07 Carsten Honerkamp

Using a leading algorithmic implementation of the functional renormalization group (fRG) for interacting fermions on two-dimensional lattices, we provide a detailed analysis of its quantitative reliability for the Hubbard model. In…

Commensurate and incommensurate antiferromagnetic fluctuations in the two-dimensional repulsive t-t'-Hubbard model are investigated using functional renormalization group equations. For a sufficient deviation from half filling we establish…

Strongly Correlated Electrons · Physics 2013-05-29 H. C. Krahl , S. Friederich , C. Wetterich

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

Using a recently developed renormalization group method for fermionic superfluids, we determine conditions for d-wave superconductivity in the two-dimensional Hubbard model at moderate interaction strength, and we compute the pairing gap in…

Strongly Correlated Electrons · Physics 2014-01-21 Andreas Eberlein , Walter Metzner

The phase diagram of the one-dimensional extended Hubbard model at half-filling is investigated by a weak coupling renormalization group method applicable beyond the usual continuum limit for the electron spectrum and coupling constants. We…

Strongly Correlated Electrons · Physics 2011-04-04 M. Ménard , C. Bourbonnais

We analyze the interaction-induced renormalization of single-particle excitations in the two-dimensional Hubbard model at weak coupling using the Wick-ordered version of the functional renormalization group. The self energy is computed for…

Strongly Correlated Electrons · Physics 2007-05-23 Daniel Rohe , Walter Metzner

We study the impact of including the self-energy feedback and frequency-dependent interactions on functional renormalization group grows for the two-dimensional Hubbard model on the square lattice at weak to moderate coupling strength.…

Strongly Correlated Electrons · Physics 2013-11-05 Stefan Uebelacker , Carsten Honerkamp

We calculate the renormalized parameters for the quasiparticles and their interactions for the Hubbard model in the paramagnetic phase as deduced from the low energy Fermi liquid fixed point using the results of a numerical renormalization…

Strongly Correlated Electrons · Physics 2016-12-07 A. C. Hewson

We study the anisotropic two-dimensional Hubbard model at and near half filling within a functional renormalization group method, focusing on the structure of momentum-dependent correlations which grow strongly upon approaching a critical…

Strongly Correlated Electrons · Physics 2007-05-23 D. Rohe , A. Georges
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