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We analyze effective d-wave interactions in the two-dimensional extended Hubbard model at weak coupling and small to moderate doping. The interactions are computed from a renormalization group flow. Attractive d-wave interactions are…

Strongly Correlated Electrons · Physics 2012-09-18 Christoph Husemann , Walter Metzner

Using the dynamical mean-field theory (DMFT) as a `booster-rocket', the functional renormalization group (fRG) can be upgraded from a weak-coupling method to a powerful computation tool for strongly interacting fermion systems. The strong…

Strongly Correlated Electrons · Physics 2019-03-13 Demetrio Vilardi , Ciro Taranto , Walter Metzner

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

We analyze the influence of phonons on the d-wave pairing instability in the Hubbard model on the two-dimensional square lattice at weak to moderate interaction U, using a functional renormalization group scheme with frequency-dependent…

Strongly Correlated Electrons · Physics 2013-05-29 Carsten Honerkamp , Henry C. Fu , Dung-Hai Lee

We present a systematic stability analysis for the two-dimensional Hubbard model, which is based on a new renormalization group method for interacting Fermi systems. The flow of effective interactions and susceptibilities confirms the…

Strongly Correlated Electrons · Physics 2009-10-31 Christoph J. Halboth , Walter Metzner

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

We analyze the competition between antiferromagnetism and superconductivity in the two-dimensional Hubbard model by combining a functional renormalization group flow with a mean-field theory for spontaneous symmetry breaking. Effective…

Strongly Correlated Electrons · Physics 2007-08-23 J. Reiss , D. Rohe , W. Metzner

We reexamine the possibility of d-wave superconductivity in the hole-doped two-dimensional Hubbard model. In terms of the gauge field description of the spin fluctuations, we show that d-wave superconductivity is unstable in the…

Strongly Correlated Electrons · Physics 2007-05-23 Takao Morinari

We derive an efficient method for treating renormalization contributions at two-loop level within the functional renormalization group in the one-particle irreducible formalism for fermions. It is based on a decomposition of the…

Strongly Correlated Electrons · Physics 2014-09-16 Andreas Eberlein

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

The numerical studies of d_{x^2-y^2}-wave pairing in the two-dimensional (2D) and the 2-leg Hubbard models are reviewed. For this purpose, the results obtained from the determinantal Quantum Monte Carlo and the density-matrix…

Superconductivity · Physics 2015-06-24 N. Bulut

We apply a renormalization group approach to the determination of the phase diagram of the t-t' Hubbard model at the Van Hove filling, as function of t'/t, for small values of U/t. The model presents ferromagnetic, antiferromagnetic and…

Strongly Correlated Electrons · Physics 2009-10-30 J. V. Alvarez , J. Gonzalez , F. Guinea , M. A. H. Vozmediano

We extend the analysis of the renormalization group flow in the two-dimensional Hubbard model close to half-filling using the recently developed temperature flow formalism. We investigate the interplay of d-density wave and Fermi surface…

Strongly Correlated Electrons · Physics 2009-11-07 C. Honerkamp , M. Salmhofer , T. M. Rice

We investigate the possibility of unconventional spin density wave (SDW) in the attractive Hubbard model with finite spin polarization. We show that pairing and density fluctuations induce the transverse d-wave SDW near the half-filling.…

Materials Science · Physics 2015-05-13 H. Tamaki , K. Miyake , Y. Ohashi

We present a functional renormalization group calculation for the two-dimensional (t,t')-Hubbard model at Van Hove filling. Using a channel decomposition we describe the momentum and frequency dependence of the vertex function in the normal…

Strongly Correlated Electrons · Physics 2012-03-14 Christoph Husemann , Kay-Uwe Giering , Manfred Salmhofer

In order to identify the most favorable situation for superconductivity in the repulsive single-band Hubbard model, we have studied instabilities for d-wave pairing mediated by antiferromagnetic spin fluctuations and p-pairing mediated by…

Condensed Matter · Physics 2009-10-31 Ryotaro Arita , Kazuhiko Kuroki , Hideo Aoki

We have systematically studied superconducting instabilities in the repulsive Hubbard model for d-wave and p-wave pairing in various 2D and 3D lattices. Using fluctuation exchange approximation, we consider 3D face centered cubic lattice,…

Condensed Matter · Physics 2009-10-31 Ryotaro Arita , Kazuhiko Kuroki , Hideo Aoki

The dual-fermion approach offers a way to perform diagrammatic expansion around the dynamical mean-field theory. Using this formalism, the influence of antiferromagnetic fluctuations on the self-energy is taken into account through…

Strongly Correlated Electrons · Physics 2014-12-22 Junya Otsuki , Hartmut Hafermann , Alexander I. Lichtenstein

The ground state of the two-dimensional (2D) Hubbard model is investigated by adopting improved wave functions that take into account intersite electron correlation beyond the Gutzwiller ansatz. The ground-state energy is lowered…

Strongly Correlated Electrons · Physics 2016-11-09 Takashi Yanagisawa

We study the fluctuations responsible for pairing in the $d$-wave superconducting state of the two-dimensional Hubbard model at intermediate coupling within a cluster dynamical mean-field theory with a numerically exact quantum impurity…

Superconductivity · Physics 2022-08-30 Xinyang Dong , Lorenzo Del Re , Alessandro Toschi , Emanuel Gull
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