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A three-dimensional reduction of the two-particle Bethe-Salpeter equation is proposed. The proposed reduction is in the framework of light-front dynamics. It yields auxiliary quantities for the transition matrix and the bound state. The…

Nuclear Theory · Physics 2009-10-31 J. H. O. Sales , T. Frederico , B. V. Carlson , P. U. Sauer

Magnetic and superconducting instabilities in the two-dimensional t-t'-Hubbard model are discussed within a functional renormalization group approach. The fermionic four-point vertex is efficiently parametrized by means of partial…

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

We study a mixture of strongly interacting bosons and spinless fermions with on-site repulsion in a three-dimensional optical lattice. For this purpose we develop and apply a generalized DMFT scheme, which is exact in infinite dimensions…

Other Condensed Matter · Physics 2008-03-10 I. Titvinidze , M. Snoek , W. Hofstetter

In this letter we consider $D$-dimensional interacting Fermi liquids, and demonstrate that an attractive interaction with a finite range $R_s$ that is much greater than the Fermi wavelength $\lambda_F$ breaks the conventional BCS theory of…

Strongly Correlated Electrons · Physics 2025-02-18 Dmitry Miserev , Joel Hutchinson , Herbert Schoeller , Jelena Klinovaja , Daniel Loss

This is a numerical study of quasiparticle localization in symmetry class \textit{BD} (realized, for example, in chiral \textit{p}-wave superconductors), by means of a staggered-fermion lattice model for two-dimensional Dirac fermions with…

Mesoscale and Nanoscale Physics · Physics 2015-03-14 M. V. Medvedyeva , J. Tworzydło , C. W. J. Beenakker

We study the mean-field broken symmetry phases of charge neutral multilayer rhombohedral graphene within tight-binding approximations including self-consistent extended Hubbard interactions. We used on-site and inter-site Hubbard…

Mesoscale and Nanoscale Physics · Physics 2025-09-29 Dongkyu Lee , Wooil Yang , Young-Woo Son , Jeil Jung

The effects of gauge interactions in graphene have been analyzed up to now in terms of effective models of Dirac fermions. However, in several cases lattice effects play an important role and need to be taken consistently into account. In…

Strongly Correlated Electrons · Physics 2012-09-19 Alessandro Giuliani , Vieri Mastropietro , Marcello Porta

We study the effect of electron-electron interactions in the electronic properties of a biased graphene bilayer. This system is a semiconductor with conduction and valence bands characterized by an unusual ``mexican-hat'' dispersion. We…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 T. Stauber , N. M. R. Peres , F. Guinea , A. H. Castro Neto

The effect of Coulomb interaction in an ensemble of Dirac fermions on the formation of superconducting pairing in monolayer and bilayer doped graphene is studied using the Kohn-Luttinger mechanism disregarding the Van der Waals potential of…

Superconductivity · Physics 2015-01-19 M. Yu. Kagan , V. A. Mitskan , M. M. Korovushkin

The temporal finite volume induces significant effects in Monte Carlo simulations of systems in low dimensions, such as graphene, a 2-D hexagonal system known for its unique electronic properties and numerous potential applications. In this…

Strongly Correlated Electrons · Physics 2024-11-07 Lado Razmadze , Thomas Luu

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

Although the strongly interacting flat bands in twisted bilayer graphene (TBG) have been approached using the minimal Bistritzer-MacDonald (BM) Hamiltonian, there is mounting evidence that strain and lattice relaxation are essential in…

Mesoscale and Nanoscale Physics · Physics 2025-09-26 Jonah Herzog-Arbeitman , Jiabin Yu , Dumitru Călugăru , Haoyu Hu , Nicolas Regnault , Oskar Vafek , Jian Kang , B. Andrei Bernevig

We systematically investigate the intricate interplay between short-range fermion-fermion interactions and disorder scatterings beneath the superconducting dome of noncentrosymmetric nodal-line superconductors. Employing the renormalization…

Superconductivity · Physics 2024-07-17 Wen-Hao Bian , Jing Wang

Full or empty narrow bands near the Fermi level are known to enhance superconductivity by promoting scattering processes and spin fluctuations. Here, we demonstrate that doublon-holon fluctuations in systems with half-filled narrow bands…

Superconductivity · Physics 2022-11-30 Changming Yue , Hideo Aoki , Philipp Werner

We consider interacting one-dimensional, spinless Fermi gases, whose low-energy properties are described by Luttinger liquid theory. We perform a systematic, in-depth analysis of the relation between the macroscopic, phenomenological…

Quantum Gases · Physics 2015-05-15 Manuel Valiente , Lawrence G. Phillips , Nikolaj T. Zinner , Patrik Ohberg

We consider the two-body problem in a periodic potential, and study the bound-state dispersion of a spin-$\uparrow$ fermion that is interacting with a spin-$\downarrow$ fermion through a short-range attractive interaction. Based on a…

Quantum Gases · Physics 2021-05-13 M. Iskin

We theoretically investigate the enhanced localization of bosonic atoms by fermionic atoms in three-dimensional optical lattices and find a self-trapping of the bosons for attractive boson-fermion interaction. Because of this mutual…

Other Condensed Matter · Physics 2008-08-01 Dirk-Sören Lühmann , Kai Bongs , Klaus Sengstock , Daniela Pfannkuche

We propose a Haldane-BCS-Hubbard model on a honeycomb lattice, which is composed of two copies of the Haldane model of the quantum anomalous Hall effect, an equal-spin pairing term and an onsite Hubbard interaction term. For any interaction…

Strongly Correlated Electrons · Physics 2019-06-28 Jian-Jian Miao , Dong-Hui Xu , Long Zhang , Fu-Chun Zhang

Dynamical mean-field theory describes the impact of strong local correlation effects in many-electron systems. While the single-particle spectral function is directly obtained within the formalism, two-particle susceptibilities can also be…

Strongly Correlated Electrons · Physics 2024-05-16 Erik G. C. P. van Loon , Hugo U. R. Strand

We present a strong coupling dynamical theory of the superconducting transition in a metal near a QCP towards $Q = 0$ nematic order. We use a fermion-boson model, in which we treat the ratio of effective boson-fermion coupling and the Fermi…

Superconductivity · Physics 2019-10-22 Avraham Klein , Andrey Chubukov
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