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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

In the model considered, the nonlocal interaction of the fermions in different sublattices of a bipartite lattice is introduced. It can also be regarded as local interaction of fermions with opposite ``hypercharge''. The corresponding term…

Superconductivity · Physics 2007-05-23 Eugene Pivovarov

We study non conventional superconductivity on a ladder, improving the predictions of the Hubbard model. The determination of the Fermi surface, in 2 or 3 dimensions, remains a very hard task, but it is exactly solvable for a single ladder.…

Strongly Correlated Electrons · Physics 2016-08-14 Gilles Abramovici , Michel Héritier

We derive and evaluate one-loop functional flow equations for the effective interactions, self-energy and gap function in spin-singlet superfluids. The flow is generated by a fermionic frequency cutoff, which is supplemented by an external…

Superconductivity · Physics 2013-06-03 Andreas Eberlein , Walter Metzner

We formulate the exact Wilsonian renormalization group for a system of interacting fermions on a lattice. The flow equations for all vertices of the Wilson effective action are expressed in form of the Polchinski equation. We apply this…

Strongly Correlated Electrons · Physics 2007-05-23 D. Zanchi , H. J. Schulz

The two-dimensional Hubbard model is studied for small values of the interaction strength (U of the order of the hopping amplitude t), using a variational ansatz well suited for this regime. The wave function, a refined Gutzwiller ansatz,…

Superconductivity · Physics 2019-07-19 Dionys Baeriswyl

A new analytic treatment of the two-dimensional Hubbard model at finite temperature and chemical potential is presented. A next nearest neighbor hopping term of strength t' is included. This analysis is based upon a formulation of the…

Strongly Correlated Electrons · Physics 2015-05-19 Andre LeClair

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

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 apply the self-consistent renormalized perturbation theory to the Hubbard model on the square lattice, at finite temperatures in order to study the evolution of the Fermi-surface (FS) as a function of temperature and doping. Previously,…

Strongly Correlated Electrons · Physics 2018-12-07 Sergey Slizovskiy , Pablo Rodriguez-Lopez , Joseph J. Betouras

We present a systematic study of various forms of renormalization that can be applied in the calculation of the self-energy of the Hubbard model within the T-matrix approximation. We compare the exact solutions of the attractive and…

Strongly Correlated Electrons · Physics 2015-05-20 P. Pisarski , R. J. Gooding

We analyze the interplay of antiferromagnetism and pairing in the two dimensional Hubbard model with a moderate repulsive interaction. Coupled charge, magnetic and pairing fluctuations above the energy scale of spontaneous symmetry breaking…

Strongly Correlated Electrons · Physics 2021-01-04 Demetrio Vilardi , Pietro M. Bonetti , Walter Metzner

We study s-wave superconductivity in the two-dimensional square lattice attractive Hubbard Hamiltonian for various inhomogeneous patterns of interacting sites. Using the Bogoliubov-de Gennes (BdG) mean field approximation, we obtain the…

Superconductivity · Physics 2009-11-13 K. Aryanpour , T. Paiva , W. E. Pickett , R. T. Scalettar

We have rigorously shown that a strong Hubbard repulsion can cause superconductivity. The model, which has a particular set of local symmetries, manifests the phase diagram of many unconventional superconductors; anti-ferromagnetism…

Superconductivity · Physics 2019-04-16 Manjinder Kainth , M. W. Long

We consider superconductivity in a system with $N$ Fermi surfaces, including intraband and interband effective electron-electron interactions. The effective interaction is described by an $N \times N$ matrix whose elements are assumed to be…

Superconductivity · Physics 2023-08-02 Niels Henrik Aase , Christian Svingen Johnsen , Asle Sudbø

The one-dimensional Hubbard model with different on-site interactions is investigated by renormalization group technique. In the case of a 1/4-filled band the dynamical nonequivalence of sites leads to the appearance of Umklapp processes in…

Strongly Correlated Electrons · Physics 2015-06-25 G. Jackeli , G. Japaridze

We apply a boost-invariant similarity renormalization group procedure to a light-front Hamiltonian of a scalar field phi of bare mass mu and interaction term g phi^3 in 6 dimensions using 3rd order perturbative expansion in powers of the…

High Energy Physics - Theory · Physics 2009-10-31 Stanislaw D. Glazek

We study a tight-binding model of interacting Majorana (Hermitian) modes on a square lattice. The model may have an experimental realization in a superconducting-film--topological-insulator heterostructure in a magnetic field. We find a…

Strongly Correlated Electrons · Physics 2017-12-14 Ian Affleck , Armin Rahmani , Dmitry Pikulin

We investigate the fermionic SU(N) Hubbard model on the two-dimensional square lattice for weak to moderate interaction strengths using one-loop renormalization group and mean-field methods. For the repulsive case U>0 at half filling and…

Strongly Correlated Electrons · Physics 2007-05-23 Carsten Honerkamp , Walter Hofstetter

We study competing orders of spinless fermions in the triangular-lattice Hubbard model with nearest-neighbor interaction. We calculate the effective, momentum-resolved two-particle vertex in an unbiased way in terms of the functional…

Strongly Correlated Electrons · Physics 2022-10-19 Nico Gneist , Dominik Kiese , Ravn Henkel , Ronny Thomale , Laura Classen , Michael M. Scherer