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This article surveys the physics of systems proximate to Mott insulators, and presents a classification using conventional and topological order parameters. This classification offers a valuable perspective on a variety of conducting…

Strongly Correlated Electrons · Physics 2014-10-13 Subir Sachdev

We review studies of the electromagnetic response of various classes of correlated electron materials including transition metal oxides, organic and molecular conductors, intermetallic compounds with $d$- and $f$-electrons as well as…

Strongly Correlated Electrons · Physics 2011-06-14 Dimitri N. Basov , Richard D. Averitt , Dirk van der Marel , Martin Dressel , Kristjan Haule

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

The doping and temperature dependent optical conductivity spectra of the quasi-two-dimensional Ca_{2-x}Sr_xRuO_4 (0.0=<x=<2.0) system were investigated. In the Mott insulating state, two electron correlation-induced peaks were observed…

Strongly Correlated Electrons · Physics 2009-11-07 J. S. Lee , Y. S. Lee , T. W. Noh , S. -J. Oh , Jaejun Yu , S. Nakatsuji , H. Fukazawa , Y. Maeno

A fundamental issue of the Mott transition is how electrons behaving as single particles carrying spin and charge in a metal change into those exhibiting separated spin and charge excitations (low-energy spin excitation and high-energy…

Strongly Correlated Electrons · Physics 2023-09-13 Masanori Kohno

We study the transfer of spectral weight in the optical spectra of a strongly correlated electron system as a function of temperature and interaction strength. Within a dynamical mean field theory of the Hubbard model that becomes exact in…

Condensed Matter · Physics 2009-10-28 M. J. Rozenberg , G. Kotliar , H. Kajueter , G. A. Thomas , D. H. Rapkine , J. M. Honig , P. Metcalf

Magnetotransport phenomena often provide critically important information about two-dimensional (2D) electron systems. For example, the independence of magneto-photo-resistance of 2D electrons in best-quality quantum wells on the…

Mesoscale and Nanoscale Physics · Physics 2025-07-11 P. S. Alekseev , A. P. Alekseeva

Electron-phonon ($e$-ph) interactions are pervasive in condensed matter, governing phenomena such as transport, superconductivity, charge-density waves, polarons and metal-insulator transitions. First-principles approaches enable accurate…

Infrared spectroscopy has emerged as a premier experimental technique to probe enigmatic effects arising from strong correlations in solids. Here we report on recent advances in this area focusing on common patterns in correlated electron…

Superconductivity · Physics 2009-11-11 S. V. Dordevic , D. N. Basov

We present a qualitative model for a fundamental process in molecular electronics: the change in conductance upon bond breaking. In our model a diatomic molecule is attached to spin-polarized contacts. Employing a Hubbard Hamiltonian,…

Materials Science · Physics 2008-06-24 Ali Goker , Francois Goyer , Matthias Ernzerhof

We present recent theoretical results on superconductivity in correlated-electron systems, especially in the two-dimensional Hubbard model and the three-band d-p model. The mechanism of superconductivity in high-temperature superconductors…

Strongly Correlated Electrons · Physics 2013-07-10 Takashi Yanagisawa , Mitake Miyazaki , Kunihiko Yamaji

Electrons in condensed matter may transition into a variety of broken-symmetry phase states due to electron-electron interactions. Applying diverse mean-field approximations to the interaction term is arguably the simplest way to identify…

Strongly Correlated Electrons · Physics 2024-06-17 Maxim Trushin , Liangtao Peng , Gargee Sharma , Giovanni Vignale , Shaffique Adam

A strong-coupling expansion for models of correlated electrons in any dimension is presented. The method is applied to the Hubbard model in $d$ dimensions and compared with numerical results in $d=1$. Third order expansion of the Green…

Strongly Correlated Electrons · Physics 2009-10-30 Stéphane Pairault , David Sénéchal , A. -M. S. Tremblay

We review the role of strong electronic correlations in quasi--two-dimensional organic charge transfer salts such as (BEDT-TTF)$_2X$, (BETS)$_2Y$ and $\beta'$-[Pd(dmit)$_2$]$_2Z$. We begin by defining minimal models for these materials. It…

Strongly Correlated Electrons · Physics 2007-05-23 B. J. Powell , Ross H. McKenzie

Understanding the physics of strongly correlated electronic systems has been a central issue in condensed matter physics for decades. In transition metal oxides, strong correlations characteristic of narrow $d$ bands is at the origin of…

Strongly Correlated Electrons · Physics 2021-05-05 Mathieu Mirjolet , Francisco Rivadulla , Premysl Marsik , Vladislav Borisov , Roser Valenti , Josep Fontcuberta

This thesis investigates the magnetic, spectral, and transport properties of strongly correlated electronic systems, with a primary focus on the Hubbard model and its extensions relevant for real materials. Within the dynamical mean-field…

Strongly Correlated Electrons · Physics 2026-03-19 Joel Bobadilla

Physical and chemical systems can be characterized by their natural frequency and energy scales. It is hardly an exaggeration that most of what we know about such systems, from the acoustics of a violin to the energy levels of atoms, comes…

Strongly Correlated Electrons · Physics 2025-06-10 N. P. Armitage

We consider the two-band Hubbard model, where electrons from different bands interact through an on-site one- and two-particle hybridization. The proposed Hamiltonian makes it possible to construct an effective theory and answer the…

Strongly Correlated Electrons · Physics 2026-01-07 Igor N. Karnaukhov

Using the Hubbard model on a 1D lattice and the "memory function" approach,we have calculated the electrical conductivity of a 1D system of correlated electrons on a lattice. We have determined the temperature and frequency profiles of the…

Strongly Correlated Electrons · Physics 2008-02-03 V. Celebonovic

Strongly correlated electrons on an Apollonian network are studied using the Hubbard model. Ground-state and thermodynamic properties, including specific heat, magnetic susceptibility, spin-spin correlation function, double occupancy and…

Strongly Correlated Electrons · Physics 2015-06-25 Andre M. C. Souza , Hans Herrmann
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