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The Hubbard model with local on-site repulsion is generally thought to possess a superconducting ground-state for appropriate parameters, but the effects of more realistic long-range Coulomb interactions have not been studied extensively.…

Superconductivity · Physics 2015-07-15 N. Plonka , C. J. Jia , Y. Wang , B. Moritz , T. P. Devereaux

In this work, we address the question of calculating the local effective Coulomb interaction matrix in materials with strong electronic Coulomb interactions from first principles. To this purpose, we implement the constrained random phase…

Strongly Correlated Electrons · Physics 2012-10-22 Loig Vaugier , Hong Jiang , Silke Biermann

A one-dimensional model of interacting electrons with on-site $U$, nearest-neighbor $V$, and correlated-hopping interaction $T^{\ast}$ is studied at half-filling using the continuum-limit field theory approach. The ground state phase…

Strongly Correlated Electrons · Physics 2009-10-31 G. I. Japaridze , A. P. Kampf

A tight binding supercell approach is used for the calculation of the electronic structure of the (111) LaAlO$_3$/SrTiO$_3$ interface. The confinement potential at the interface is evaluated solving a discrete Poisson equation by means of…

The determination of the effective Coulomb interactions to be used in low-energy Hamiltonians for materials with strong electronic correlations remains one of the bottlenecks for parameter-free electronic structure calculations. We propose…

Strongly Correlated Electrons · Physics 2017-08-09 Priyanka Seth , Philipp Hansmann , Ambroise van Roekeghem , Loig Vaugier , Silke Biermann

The Hubbard model, despite its simplicity, is remarkably successful at describing numerous many-body phenomena. However, due to the small class of problems which can be solved exactly, there has been substantial interest in quantum…

Mesoscale and Nanoscale Physics · Physics 2025-09-09 Oliver Tong , Katherine A. Cochrane , Bingkai Yuan , Tanya Roussy , Mona Berciu , Sarah A. Burke

We give a detailed description of a recently proposed first principles approach to the electronic structure of strongly correlated materials. The method combines the GW approximation with dynamical mean field theory. It is designed to…

Strongly Correlated Electrons · Physics 2007-05-23 Ferdi Aryasetiawan , Silke Biermann , Antoine Georges

In quantum-kinetic approaches to the dynamics of Coulomb-bound many-body correlations such as excitons, trions, biexcitons or higher-order correlations, a detailed knowledge of the many-body Coulomb Hamiltonian serving as a starting point…

Mesoscale and Nanoscale Physics · Physics 2026-02-17 Henry Mittenzwey , Andreas Knorr , Thorsten Deilmann

Correlated materials are extremely sensitive to external stimuli, such as temperature or pressure. Describing the electronic properties of such systems often requires applying many-body techniques to effective low energy problems in the…

Strongly Correlated Electrons · Physics 2009-07-09 Jan M. Tomczak , T. Miyake , R. Sakuma , F. Aryasetiawan

We investigate two-site electronic correlations within generalized Hubbard model, which incorporates the conventional Hubbard model (parameters: $t$ (hopping between nearest neighbours), $U$ (Coulomb repulsion (attraction)) supplemented by…

Strongly Correlated Electrons · Physics 2007-11-06 M. Matlak , B. Grabiec , S. Krawiec

Coulomb interaction has important consequences on the physics of quantum spin Hall edge states, weakening the topological protection via two-particle scattering and renormalizing both the velocity and charge of collective plasmon modes…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Alexandre Gourmelon , Hiroshi Kamata , Jean-Marc Berroir , Gwendal Fève , Bernard Plaçais , Erwann Bocquillon

We explore the two-dimensional extended Hubbard model on the triangular lattice in the high doping regime. On-site and nearest-neighbour repulsive interactions are treated in a non-perturbative way by means of Extended Dynamical Mean Field…

Strongly Correlated Electrons · Physics 2017-09-26 Sophie Chauvin , Thomas Ayral , Lucia Reining , Silke Biermann

We investigate the effect of the Coulomb interaction, $U_{cf}$, between the conduction and f electrons in the periodic Anderson model using the density-matrix renormalization-group algorithm. We calculate the excitation spectrum of the…

Strongly Correlated Electrons · Physics 2014-09-26 I. Hagymasi , J. Solyom , O. Legeza

We investigate the real-space profile of effective Coulomb interactions in correlated kagome materials. By particularizing to KV$_3$Sb$_5$, Co$_3$Sn$_2$S$_2$, FeSn, and Ni$_3$In, we analyze representative cases that exhibit a large span of…

Strongly Correlated Electrons · Physics 2023-03-22 Domenico Di Sante , Bongjae Kim , Werner Hanke , Tim Wehling , Cesare Franchini , Ronny Thomale , Giorgio Sangiovanni

We present an extension to the two-dimensional functional renormalization group to efficiently treat interactions on the surface or at interfaces of three-dimensional systems. As an application, we consider a semi-infinite stack of…

Strongly Correlated Electrons · Physics 2026-04-10 Lennart Klebl , Dante M. Kennes

We use the $C_{4v}$ symmetry group of the 4-site Hubbard model to construct a ground state variational wave function of two- and four interacting electrons. In the limit $U\rightarrow 0$, ground state energies of the two- and four…

Strongly Correlated Electrons · Physics 2021-04-16 Robinson O. Okanigbuan , Kingsley N. Onaiwu

We compare the response of five different models of two interacting electrons in a quantum dot to an external short lived radial excitation that is strong enough to excite the system well beyond the linear response regime. The models…

We study the unscreened Coulomb interaction in a one-dimensional electron system at low-energy. We use renormalization group methods and a GW approximation, in order to analyze the model. This yields both a strong wavefunction…

High Energy Physics - Theory · Physics 2007-05-23 S. Bellucci

In this paper the two dimensional extended Hubbard model with intersite magnetic Ising-like interaction in the atomic limit is analyzed by means of the classical Monte Carlo method in the grand canonical ensemble. Such an effective simple…

Strongly Correlated Electrons · Physics 2015-05-12 Szymon Murawski , Konrad Jerzy Kapcia , Grzegorz Pawłowski , Stanisław Robaszkiewicz

The electron-hole states of semiconductor quantum dots are investigated within the framework of empirical tight-binding descriptions for Si, as an example of an indirect gap material, and InAs and CdSe as examples of typical III-V and II-VI…

Condensed Matter · Physics 2009-10-31 Seungwon Lee , Lars Jonsson , John W. Wilkins , Garnett W. Bryant , Gerhard Klimeck