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We derive the effective low energy Hamiltonian for the tight-binding model with the hopping integral slowly varying along the chain. The effective Hamiltonian contains the kinetic energy with position dependent mass, which is inverse to the…

Quantum Physics · Physics 2015-10-01 V. M. Tkachuk , O. Voznyak

We obtain the quantum phase diagram of the ionic Hubbard model including electron-hole symmetric density-dependent hopping. The boundaries of the phases are determined by crossing of excited levels with particular discrete symmetries, which…

Strongly Correlated Electrons · Physics 2023-04-11 P. Roura Bas , A. A. Aligia

Electronic correlations in the ground state of an idealized infinite-layer high-Tc compound are computed using the ab-initio method of local ansatz. Comparisons are made with the local-density approximation (LDA) results, and the…

Superconductivity · Physics 2009-10-31 Gernot Stollhoff

The extrapolation of small-cluster exact-diagonalization calculations is used to examine ferromagnetism in the one-dimensional Hubbard model with long-range and correlated hopping. It is found that the correlated hopping term stabilizes the…

Strongly Correlated Electrons · Physics 2015-06-24 Pavol Farkasovsky

We present rigorous results for several variants of the Hubbard model in the strong-coupling regime. We establish a mathematically controlled perturbation expansion which shows how previously proposed effective interactions are, in fact,…

Mathematical Physics · Physics 2015-06-26 Nilanjana Datta , Roberto Fernandez , Juerg Froehlich

The correlated motion of electrons in multi-orbital metallic ferromagnets is investigated in terms of a realistic Hubbard model with {\cal N}-fold orbital degeneracy and arbitrary intra- and inter-orbital Coulomb interactions U and J using…

Strongly Correlated Electrons · Physics 2015-05-27 Bhaskar Kamble , Avinash Singh

The present paper covers the problem of parameters determination for High-$T_c$ superconductive copper oxides. Different approaches, {\it ab initio} LDA and LDA+U calculations and Generalized Tight-Binding (GTB) method for strongly…

Strongly interacting fermionic atoms on optical lattices are studied through a Hubbard-like model Hamiltonian, in which tunneling rates of atoms and molecules between neighboring sites are assumed to be different. In the limit of large…

Other Condensed Matter · Physics 2010-05-25 Alberto Anfossi , Luca Barbiero , Arianna Montorsi

Hubbard-like Hamiltonians are widely used to describe on-site Coulomb interactions in magnetic and strongly-correlated solids, but there is much confusion in the literature about the form these Hamiltonians should take for shells of p and d…

Strongly Correlated Electrons · Physics 2016-02-10 M. E. A. Coury , S. L. Dudarev , W. M. C. Foulkes , A. P. Horsfield , Pui-Wai Ma , J. S. Spencer

The molecular solids $\beta^\prime$-$X$[Pd(dmit)$_2$]$_2$ (where $X$ represents a cation) are typical compounds whose electronic structures are described by single-orbital Hubbard-type Hamiltonians with geometrical frustration. Using the…

Strongly Correlated Electrons · Physics 2022-01-07 Kazuyoshi Yoshimi , Takao Tsumuraya , Takahiro Misawa

A one-dimensional model of electrons locally coupled to spin-1/2 degrees of freedom is studied by numerical techniques. The model is one in the class of $dynamic$ $Hubbard$ $models$ that describe the relaxation of an atomic orbital upon…

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

A model subspace configuration interaction method is developed to obtain chemically accurate electron correlations by diagonalising a very compact effective Hamiltonian of realistic molecule. The construction of the effective Hamiltonian is…

Chemical Physics · Physics 2022-10-18 Jiasheng Li , Jun Yang

We derive an effective spin Hamiltonian for the one-dimensional half-filled tetramerized ionic-Hubbard model in the limit of strong on-site repulsion. We show that the effective Hamiltonian which describes the low-energy spin sector of the…

Strongly Correlated Electrons · Physics 2008-01-09 M. Menteshashvili , N. Chachava , G. I. Japaridze

The influence of external magnetic field $h$ on a static conductivity of Mott-Hubbard material which is described by model with correlated hopping of electrons has been investigated. By means of canonical transformation the effective…

Strongly Correlated Electrons · Physics 2011-12-30 L. Didukh , O. Kramar , Yu. Skorenkyy , Yu. Dovhopyaty

We report a detailed study of a model Hamiltonian which exhibits a rich interplay of geometrical spin frustration, strong electronic correlations, and charge ordering. The character of the insulating phase depends on the magnitude of…

Strongly Correlated Electrons · Physics 2013-05-29 J. Merino , R. H. McKenzie , B. J. Powell

A new one-dimensional fermion model depending on two independent interaction parameters is formulated and solved exactly by the Bethe ansatz method. The Hamiltonian of the model contains the Hubbard interaction and correlated hopping as…

Condensed Matter · Physics 2009-10-28 R. Z. Bariev , A. Klümper , J. Zittartz

Within the Hubbard model, the ionization energy and electron affinity of the icosahedral C60 fullerene are calculated in the static fluctuation approximation. A graphical representation of the chemical potential equation is first obtained.…

Strongly Correlated Electrons · Physics 2026-01-22 Gennadiy Ivanovich Mironov

Motivated by recent studies which show that topological phases may emerge in strongly correlated electron systems, we theoretically study the strong electron correlation effect in a three-dimensional topological insulator, which effective…

Strongly Correlated Electrons · Physics 2013-05-06 Akihiko Sekine , Takashi Z. Nakano , Yasufumi Araki , Kentaro Nomura

We consider a single particle tunnelling in a tight-binding model with nearest-neighbour couplings, in the presence of a periodic high-frequency force. An effective Hamiltonian for the particle is derived using an averaging method…

Other Condensed Matter · Physics 2014-02-07 A. P. Itin , A. I. Neishtadt

We derive a "Wannier-Hubbard" model consisting of an array of overlapping atomic orbitals interacting via a local Coulomb interaction. Transforming to an orthogonal Wannier basis set, the resulting Hamiltonian displays long range hopping…

Strongly Correlated Electrons · Physics 2022-07-27 Samuel Milner , Phillip Weinberg , Adrian Feiguin