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We prove the existence of a new Hamiltonian that can be used to study strongly correlated matter, which consists of the total energy at temperature equals zero (E_0) and the ionization energy (\xi) as eigenvalues. We show that the existence…

General Physics · Physics 2010-04-30 Andrew Das Arulsamy

We propose a systematic procedure for constructing effective models of strongly correlated materials. The parameters, in particular the on-site screened Coulomb interaction U, are calculated from first principles, using the GW…

Strongly Correlated Electrons · Physics 2009-11-10 F. Aryasetiawan , M. Imada , A. Georges , G. Kotliar , S. Biermann , A. I. Lichtenstein

The systematic approach to study bound states in gluodynamics is presented. The method utilizes flow equations together with low-energy phenomenology, that provides the perturbative renormalization scaling in conjuction with the change of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Elena Gubankova , Chueng-Ryong Ji , Stephen R. Cotanch

Continuing our previous QCD Hamiltonian studies in the gluonic and quark sectors, we describe a new renormalization procedure which generates an effective Hamiltonian. The formulation, which is in the Coulomb gauge, provides an improved…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. G. Robertson , E. S. Swanson , A. P. Szczepaniak , C. -R. Ji , S. R. Cotanch

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

Polarizable particle systems, including charged colloids, polarizable ions, biomolecular assemblies, and soft nanomaterials, can exhibit contact electrostatic interactions that depart strongly from Coulomb behavior when dielectric mismatch…

Soft Condensed Matter · Physics 2026-05-13 Yanyu Duan , Zecheng Gan

Electronic phase behavior in correlated-electron systems is a fundamental problem of condensed matter physics. We argue here that the change in the phase behavior near the surface and interface, i.e., {\em electronic reconstruction}, is the…

Strongly Correlated Electrons · Physics 2015-06-25 Satoshi Okamoto , Andrew J. Millis

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

We propose a systematic procedure for constructing effective lattice fermion models for narrow-band compounds on the basis of first-principles electronic structure calculations. The method is illustrated for the series of transition-metal…

Strongly Correlated Electrons · Physics 2009-11-11 I. V. Solovyev

We consider an Hamiltonian with ultraviolet and infrared cutoffs, describing the interaction of relativistic electrons and positrons in the Coulomb potential with photons in Coulomb gauge. The interaction includes both interaction of the…

Mathematical Physics · Physics 2007-05-23 J. -M. Barbaroux , M. Dimassi , J. -C. Guillot

We apply renormalization ideas to study low-energy interactions in two-body systems. As we will see this method highlights a model-independent description of a broad variety of systems ranging from ultra-could atoms to NN and Lambda-Lambda…

Nuclear Theory · Physics 2011-04-28 A. Calle Cordon , E. Ruiz Arriola

We calculate, as a function of temperature and density, the electron-electron interaction induced quasiparticle effective mass renormalization in 2D electron systems within the leading-order dynamically screened Coulomb interaction…

Mesoscale and Nanoscale Physics · Physics 2008-01-14 S. Das Sarma , Victor Galitski , Ying Zhang

The electronic and magnetic properties of many strongly-correlated systems are controlled by a limited number of states, located near the Fermi level and well isolated from the rest of the spectrum. This opens a formal way for combining the…

Strongly Correlated Electrons · Physics 2010-07-15 I. V. Solovyev

The stability of ferromagnetism at the surface at finite temperatures is investigated within the strongly correlated Hubbard model on a semi-infinite lattice. Due to the reduced surface coordination number the effective Coulomb correlation…

Strongly Correlated Electrons · Physics 2009-10-31 T. Herrmann , W. Nolting

We consider an electronic bound state of the usual, non-relativistic, molecular Hamiltonian with Coulomb interactions and fixed nuclei. Away from appropriate collisions, we prove the real analyticity of all the reduced densities and density…

Analysis of PDEs · Mathematics 2023-03-30 Thierry Jecko , Camille Noûs

The explicit evaluation of linear response coefficients for interacting many-particle systems still poses a considerable challenge to theoreticians. In this work we use a novel many-particle renormalization technique, the so-called…

Strongly Correlated Electrons · Physics 2015-06-18 Van-Nham Phan , Klaus W. Becker , Holger Fehske

We introduce an approach to treat localized correlated electronic states in the otherwise weakly correlated host medium. Here, the environment is dynamically downfolded on the correlated subspace. It is captured via renormalization of one…

Strongly Correlated Electrons · Physics 2022-11-14 Mariya Romanova , Guorong Weng , Arsineh Apelian , Vojtech Vlcek

We construct the complementary short-range correlation relativistic local-density-approximation functional to be used in relativistic range-separated density-functional theory based on a Dirac-Coulomb Hamiltonian in the no-pair…

Chemical Physics · Physics 2021-05-26 Julien Paquier , Julien Toulouse

We study inhomogeneous one-dimensional Hubbard systems using the density matrix renormalization group method. Different heterostructures are investigated whose configuration is modeled varying parameters like the on-site Coulomb potential…

Strongly Correlated Electrons · Physics 2009-11-13 Yesenia Arredondo , Hartmut Monien

A model to describe electronic correlations in energy bands is considered. The model is a generalization of the conventional Hubbard model that allows for the fact that the wavefunction for two electrons occupying the same Wannier orbital…

Strongly Correlated Electrons · Physics 2009-11-07 J. E. Hirsch