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Salmhofer [Commun. Math. Phys. 194, 249 (1998)] has recently developed a new renormalization group method for interacting Fermi systems, where the complete flow from the bare action of a microscopic model to the effective low-energy action,…

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

With an increasing complexity of nanoscopic systems and the modeling thereof, new theoretical tools are needed for a reliable calculation of complex systems with strong electronic correlations. To this end, we propose a new approach based…

Strongly Correlated Electrons · Physics 2010-06-22 Angelo Valli , Giorgio Sangiovanni , Olle Gunnarsson , Alessandro Toschi , Karsten Held

A model for description of materials with narrow energy bands is proposed. It is shown that in narrow-band materials electron-hole symmetry is absent in contrast to the Hubbard model. In this paper metal-insulator transition is studied. The…

Strongly Correlated Electrons · Physics 2007-05-23 Leonid Didukh

We study the quantum dynamics of a strongly correlated electron pair in a one-dimensional lattice, focusing on the occurrence of local dissociation/pairing mechanisms induced by a site energy defect. To this end, we simulate the time…

Strongly Correlated Electrons · Physics 2025-06-17 Vincent Pouthier , Saad Yalouz

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 study a two-band Hubbard model using the dynamical mean-field theory combined with the exact diagonalization method. At the electron density $n=2$, a transition from a band-insulator to a correlated semimetal occurs when the on-site…

Strongly Correlated Electrons · Physics 2007-05-23 Y. Ono , K. Sano

The interaction between itinerant and Mott localized electronic states in strongly correlated materials is studied within dynamical mean field theory in combination with the numerical renormalization group method. A novel nonmagnetic zero…

Strongly Correlated Electrons · Physics 2011-11-10 T. A. Costi , A. Liebsch

Integrable Kondo impurities in the one-dimensional supersymmetric U model of strongly correlated electrons are studied by means of the boundary graded quantum inverse scattering method. The boundary K matrices depending on the local…

Statistical Mechanics · Physics 2009-10-31 H. -Q. Zhou , X. -Y. Ge , M. D. Gould

A two dimensional electronic system, where the Fermi surface is close to a Van Hove singularity, shows a variety of weak coupling instabilities, and it is a convenient model to study the interplay between antiferromagnetism and anisotropic…

Strongly Correlated Electrons · Physics 2009-10-31 J. Gonzalez , F. Guinea , M. A. H. Vozmediano

We revisit the old problem of which is the best single particle basis to express a Hubbard-like lattice model. A rigorous variational solution of this problem leads to equations in which the answer depends in a self-consistent manner on the…

Strongly Correlated Electrons · Physics 2017-01-18 Valentina Brosco , Zu-Jian Ying , José Lorenzana

A novel approach to electronic correlations in magnetic crystals which takes into account a dynamical many-body effects is present. In order to to find a frequency dependence of the electron self energy, an effective quantum-impurity…

Strongly Correlated Electrons · Physics 2007-05-23 A. I. Lichtenstein , M. I. Katsnelson

An inversion method is formulated for extracting entanglement-related information on two-particle interactions in a one-dimensional system from measurable one-particle position- and momentum-distribution functions. The method is based on a…

Quantum Physics · Physics 2017-01-31 I. Nagy , M. L. Glasser

The correlation-driven metal-insulator (Mott) transition at a solid surface is studied within the Hubbard model for a semi-infinite lattice by means of the dynamical mean-field theory. The transition takes place at a unique critical…

Strongly Correlated Electrons · Physics 2009-10-31 M. Potthoff , W. Nolting

We propose a novel approach to electron correlation for multireference systems. It is based on particle-hole (ph) and particle-particle (pp) theories in the second-order, developed in the random phase approximation (RPA) framework for…

Chemical Physics · Physics 2024-12-03 Aleksandra Tucholska , Yang Guo , Katarzyna Pernal

Here we discuss Quantum Monte Carlo results for the magnetic susceptibility, single-particle spectral weight and the irreducible particle-particle interaction vertex of the two-dimensional Hubbard model. In the doped system, as the…

Condensed Matter · Physics 2007-05-23 D. J. Scalapino

Spontaneous symmetry breaking of interacting fermion systems constitutes a major challenge for many-body theory due to the proliferation of new independent scattering channels once absent or degenerate in the symmetric phase. One example is…

Strongly Correlated Electrons · Physics 2025-05-30 Lorenzo Del Re

We thoroughly analyze the divergences of the irreducible vertex functions occurring in the charge channel of the half-filled Hubbard model in close proximity to the Mott metal-insulator transition (MIT). In particular, by systematically…

Strongly Correlated Electrons · Physics 2023-11-21 Mathias Pelz , Severino Adler , Matthias Reitner , Alessandro Toschi

We apply an exact diagonalization method to the the infinite-D two-band Hubbard model. The method is essentially exact for the calculation of thermodynamic properties for all but the smallest frequencies and yields a resolution unavailable…

Condensed Matter · Physics 2007-05-23 Werner Krauth , Michel Caffarel

We demonstrate that the hopping of singlet electron pairs between Hubbard chains is relevant in the renormalization group sense if appropriate correlations exist between the chains.

Condensed Matter · Physics 2016-08-31 S. P. Strong

The Hubbard model provides a simple framework in which one can study how certain aspects of the electronic structure of strongly interacting systems can be tuned to optimize the superconducting pairing correlations and how these changes…

Superconductivity · Physics 2022-03-02 Thomas A. Maier , Elbio Dagotto