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Theoretical ideas and experimental results concerning high temperature superconductors are reviewed. Special emphasis is given to calculations carried out with the help of computers applied to models of strongly correlated electrons…

Condensed Matter · Physics 2009-10-22 Elbio Dagotto

By employing a newly developed dynamical simulation method, which is a combination of classical molecular dynamics (MD) and the adaptive time-dependent density matrix renormalization group (TDDMRG), we investigate the dynamics of charge…

Materials Science · Physics 2016-09-28 Haibo Ma , Ulrich Schollwoeck

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 investigate a periodic Anderson model with interacting conduction electrons which are described by a Hubbard-type interaction of strength U_c. Within dynamical mean-field theory the total Hamiltonian is mapped onto an impurity model,…

Strongly Correlated Electrons · Physics 2009-10-30 T. Schork , S. Blawid

We derive the superconductiong mean-field equations for an attractive interaction, V, in the s-wave channel when local Coulomb interactions are taken into account for any value of U. Our results show that the Coulomb repulsion is…

Strongly Correlated Electrons · Physics 2016-08-15 A. A. Schmidt , J. J. Rodríguez-Núñez

We study the suppression of electron localization due to the screening of disorder in a Hubbard-Anderson model. We focus on the change of the electron localization length at the Fermi level within a static picture, where interactions are…

Disordered Systems and Neural Networks · Physics 2012-02-07 P. Henseler , J. Kroha , B. Shapiro

We theoretically study the effect of electron-electron interactions on the metallic state of quasicrystals. To address the problem, we introduce the extended Hubbard model on the Ammann-Beenker tiling as a simple theoretical model. The…

Strongly Correlated Electrons · Physics 2021-06-02 Shiro Sakai , Akihisa Koga

We propose a microscopic theory of superconductivity for systems with strong electron correlations such as cuprates in the framework of the extended Hubbard model where the intersite Coulomb repulsion and electron-phonon interaction are…

Strongly Correlated Electrons · Physics 2015-08-20 Nikolay M. Plakida , Viktor S. Oudovenko

We consider the energy level statistics of non-interacting electrons which diffuse in a $ d $-dimensional disordered metallic conductor of characteristic Thouless energy $ E_c. $ We assume that the level distribution can be written as the…

Condensed Matter · Physics 2017-12-07 R. A. Jalabert , J. -L. Pichard , C. W. J. Beenakker

We analyze the possible existence of a superconducting state in a background with long-range antiferromagnetism. We consider a generalized Hubbard model with nearest-neighbor correlated hopping in a square lattice. Near half filling, the…

Strongly Correlated Electrons · Physics 2009-09-25 Liliana Arrachea , A. A. Aligia

The occurrence of retarded (with glue) and unretarded (without glue) pairing is thoroughly discussed in cuprates. We analyze some aspects of this problem in the context of the t-J-V model in a large-N approximation. When 1/N…

Superconductivity · Physics 2021-04-07 Luciano Zinni , Matías Bejas , Andrés Greco

We study the effects of static nonlocal Coulomb interactions in layered conventional superconductors and show that they generically suppress superconductivity and reduce the critical temperature. Although the nonlocal Coulomb interaction…

Superconductivity · Physics 2022-09-02 M. Simonato , M. I. Katsnelson , M. Rösner

In two-dimensional multivalley semiconductors, at low doping, even a moderate electron-electron interaction enhances the response to any perturbation inducing a valley polarization. If the valley polarization is due to the electron-phonon…

Superconductivity · Physics 2015-03-05 Matteo Calandra , Paolo Zoccante , Francesco Mauri

A microscopic theory of superconductivity in the extended Hubbard model which takes into account the intersite Coulomb repulsion and electron-phonon interaction is developed in the limit of strong correlations. The Dyson equation for normal…

Strongly Correlated Electrons · Physics 2013-04-01 Nikolay M. Plakida , Viktor S. Oudovenko

More than a century after discovery, the theory of conventional superconductivity remains incomplete. While the importance of electron-phonon coupling is understood, a controlled first-principles treatment of Coulomb interaction is lacking.…

We studied the conductance renormalization and conductivity of multi-subband Tomonaga-Luttinger models with inter-subband interactions. We found that, as in single-band systems, the conductance of a multi-subband system with an arbitrary…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Takashi Kimura

Establishing a minimal microscopic model for cuprates is a key step towards the elucidation of a high-$T_c$ mechanism. By a quantitative comparison with a recent \emph{in situ} angle-resolved photoemission spectroscopy measurement in doped…

Strongly Correlated Electrons · Physics 2021-11-23 Yao Wang , Zhuoyu Chen , Tao Shi , Brian Moritz , Zhi-Xun Shen , Thomas P. Devereaux

We investigate the influence of electron-phonon coupling on the superexchange interaction of magnetic insulators. Both the Holstein-Hubbard model where the phonons couple to the electron density, as well as an extended Su, Schrieffer,…

Condensed Matter · Physics 2009-10-28 W. Stephan , M. Capone , M. Grilli , C. Castellani

We numerically study the effect of non-symmetry-dictated-nodes (NSDN) on electron correlation effects for spinless electrons. We find that repulsive interaction between electrons can enhance the overlap between nearest neighbors in the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. Singha Deo

In this Colloquium, the main features of the electron-lattice interaction are discussed and high values of the critical temperature up to room temperature could be provided. While the issue of the mechanism of superconductivity in the high…

Superconductivity · Physics 2009-04-15 V. Z. Kresin , S. A. Wolf