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A new lattice model of interacting electrons is presented. It can be viewed as a classical Hubbard model in which the energy associated to electron itinerance is proportional to the total number of possible electron jumps. Symmetry…

Statistical Mechanics · Physics 2009-11-11 Andre M. C. Souza

We consider the extended Hubbard model and introduce a corresponding Heisenberg-like problem written in terms of spin operators. The derived formalism is reminiscent of Anderson's idea of the effective exchange interaction and takes into…

Strongly Correlated Electrons · Physics 2018-07-25 E. A. Stepanov , S. Brener , F. Krien , M. Harland , A. I. Lichtenstein , M. I. Katsnelson

An interacting lattice model describing the subspace spanned by a set of strongly-correlated bands is rigorously coupled to density functional theory to enable ab initio calculations of geometric and topological material properties. The…

Strongly Correlated Electrons · Physics 2019-03-26 Ryan Requist , E. K. U. Gross

We study the electronic spectral properties in two examples of strongly interacting systems: a Mott-Hubbard insulator with additional electron-boson interactions, and a polaronic semiconductor. An approximate unified framework is developed…

Strongly Correlated Electrons · Physics 2009-11-11 S. Fratini , S. Ciuchi

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

The effective lattice models in strongly correlated electron systems are \emph{derived} in particular for the cuprate superconductors, that incorporate the quantum fluctuations of the spin Berry's phase and the antiferromagnetic…

Strongly Correlated Electrons · Physics 2019-03-15 Mu-Kun Lee , Chyh-Hong Chern

Density functional theory provides the most widespread framework for the realistic description of the electronic structure of solids, but the description of strongly-correlated systems has remained so far elusive. Here we consider a…

Strongly Correlated Electrons · Physics 2016-09-07 Zu-Jian Ying , Valentina Brosco , Giorgia Maria Lopez , Daniele Varsano , Paola Gori-Giorgi , José Lorenzana

We present a way of partly reincorporate the effects of the localized bonding electrons on the dynamics of their itinerant counterparts in Hubbard-like Hamiltonians. This is done by relaxing the constraint that the former should be entirely…

Strongly Correlated Electrons · Physics 2020-09-23 T. V. Trevisan , Gustavo M. Monteiro , A. O. Caldeira

The correlated motion of electrons in a one dimensional system with an externally applied longitudinal electric field is discussed. Within the tight binding model we show that in addition to the well known Bloch oscillations the…

Condensed Matter · Physics 2009-11-10 F. Claro , J. F. Weisz , S. Curilef

Supplementing the Heisenberg model with a Hubbard-commuting kinetic of electrons adds to its spectrum without interference. One consequence is the precise incorporation of canonical linear spin wave theory within the time-dependent…

Strongly Correlated Electrons · Physics 2024-12-11 Rohit Hegde

Correlated materials are known to display qualitatively distinct emergent behaviors at low energy. Conveniently, upon absorbing rapid quantum fluctuations, these rich low-energy behaviors can always be effectively described by dressed…

Strongly Correlated Electrons · Physics 2026-01-22 Ruoshi Jiang , Fangyuan Gu , Wei Ku

The Hubbard model is used to study an electronic system at half filling. Starting from a functional integral representation the spin-up Grassmann field is integrated out. It is shown that the resulting spinless fermion theory has an…

Strongly Correlated Electrons · Physics 2007-05-23 Klaus Ziegler

The Ising model, in presence of an external magnetic field, is isomorphic to a model of localized interacting particles satisfying the Fermi statistics. By using this isomorphism, we construct a general solution of the Ising model which…

Strongly Correlated Electrons · Physics 2007-05-23 Ferdinando Mancini

Linearizing the Heisenberg equations of motion around the ground state of an interacting quantum many-body system, one gets a time-evolution generator in the positive cone of a real symplectic Lie algebra. The presence of disorder in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 T. Lueck , H. -J. Sommers , M. R. Zirnbauer

Randomly coupled Ising spins constitute the classical model of collective phenomena in disordered systems, with applications covering ferromagnetism, combinatorial optimization, protein folding, stock market dynamics, and social dynamics.…

Disordered Systems and Neural Networks · Physics 2016-08-24 David Dahmen , Hannah Bos , Moritz Helias

We study how well magnetic models can be implemented with ultracold bosonic atoms of two different hyperfine states in an optical superlattice. The system is captured by a two-species Bose-Hubbard model, but realizes in a certain parameter…

Statistical Mechanics · Physics 2009-07-28 Thomas Barthel , Christian Kasztelan , Ian P. McCulloch , Ulrich Schollwöck

Paper: cond-mat/9311033 The Hubbard model of interacting electrons, like the Ising model of spin-spin interactions, is the simplest possible model displaying many ``real world'' features, but it is much more difficult to analyze…

Condensed Matter · Physics 2008-02-03 Elliott Lieb

In this study the magnetization phenomenon has been investigated as a behavior of interacting elementary moments ensemble, with the help of Ising model [1] in the frame of non-extensive statistical mechanics. To investigate the physical…

Statistical Mechanics · Physics 2007-05-23 M. Karabekirogullari , F. Buyukkilic , D. Demirhan

Spin-boson Hamiltonians are an effective description for numerous quantum many-body systems such as atoms coupled to cavity modes, quantum electrodynamics in circuits and trapped ion systems. While reaching the limit of strong coupling is…

Statistical Mechanics · Physics 2020-03-04 Eliana Fiorelli , Pietro Rotondo , Federico Carollo , Matteo Marcuzzi , Igor Lesanovsky

The effects associated with exciton Bose condensate formation in strongly correlated spin crossover systems are considered within the effective Hamiltonian obtained from the two-orbital Hubbard-Kanamori model. The collective excitations…

Strongly Correlated Electrons · Physics 2022-12-13 Yuri. S. Orlov , Sergey. V. Nikolaev
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