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Fourth-order strong-coupling degenerate perturbation theory is used to derive an effective low-energy Hamiltonian for the Kondo-lattice model with a depleted system of localized spins. In the strong-J limit, completely local Kondo singlets…

Strongly Correlated Electrons · Physics 2015-02-26 Irakli Titvinidze , Andrej Schwabe , Michael Potthoff

A strong coupling expansion, based on the Kato-Bloch perturbation theory, which has recently been proposed by Eckardt et al. [Phys. Rev. B 79, 195131] and Teichmann et al. [Phys. Rev. B 79, 224515] is implemented in order to study various…

Mesoscale and Nanoscale Physics · Physics 2012-07-27 Christoph Heil , Wolfgang von der Linden

Different realizations of the Hubbard operators in different Hilbert spaces give rise to various microscopic lattice electron models driven by strong correlations. In terms of the Gutzwiller projected operators, the most familiar examples…

Strongly Correlated Electrons · Physics 2022-05-04 Ilya Ivantsov , Alvaro Ferraz , Evgenii Kochetov

We consider the Kondo-Hubbard model with ferromagnetic exchange coupling $% J_{H}$, showing that it is an approximate effective model for late transition metal-O linear systems. We study the dependence of the charge and spin gaps…

Condensed Matter · Physics 2009-10-31 A. E. Feiguin , Liliana Arrachea , A. A. Aligia

We study the strong coupling limit of the extended Hubbard model in two dimensions. The model consists of hopping, on-site interaction, nearest-neighbor interaction, spin-orbit coupling and Zeeman spin splitting. While the study of this…

Strongly Correlated Electrons · Physics 2014-02-18 Aaron Farrell , T. Pereg-Barnea

Strong-coupling expansions, to order $(t/J)^8$, are derived for the Kondo lattice model of strongly correlated electrons, in 1-, 2- and 3- dimensions at arbitrary temperature. Results are presented for the specific heat, and spin and charge…

Strongly Correlated Electrons · Physics 2016-08-31 J. Oitmaa , W. Zheng

We investigate the duality in the Kondo model. Starting from the s-d model with the coupling constant $J$, the strong coupling model with the constant of 1/J is identified. The model shows the unitary limit of the conductance, $G=2 e^{2}/h$…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Tomosuke Aono

We present a comparative study of the Hubbard and $t-J$ models far away from half-filling. We show that, at such fillings the $t-J$ Hamiltonian can be seen as an effective model of the repulsive Hubbard Hamiltonian over the whole range of…

Strongly Correlated Electrons · Physics 2009-11-07 Marie-Bernadette Lepetit , Marie-Liesse Doublet , Philippe Maurel

To date, the Hubbard model and its strong coupling limit, the t-J model, serve as the canonical model for strongly correlated electron systems in solids. Approximating the Coulomb interaction by only the on-site term (Hubbard U-term),…

Superconductivity · Physics 2017-04-28 Tao Sun

The Hubbard model in the strong-coupling regime is studied by the Kondo-lattice theory. If no symmetry is broken at a sufficiently low temperature in sufficiently low dimensions, an electron liquid is stabilized by the Fock-type exchange…

Strongly Correlated Electrons · Physics 2012-11-01 Fusayoshi J. Ohkawa

The integrability of the one dimensional chiral Hubbard model is discussed in the limit of strong interaction, U=+\infty. The system is shown to be integrable in sense of existence of an infinite number of constants of motion. The system is…

Condensed Matter · Physics 2008-02-03 D. F. Wang , C. Gruber

The extended Hubbard Hamiltonian is a widely accepted model for uncovering the effects of strong correlations on the phase diagram of low-dimensional systems, and a variety of theoretical techniques have been applied to it. In this paper…

Strongly Correlated Electrons · Physics 2007-09-07 H. A. Craig , C. N. Varney , W. E. Pickett , R. T. Scalettar

The one-dimensional Kondo lattice model (1D KLM) is usually defined by the Kondo exchange $J$ between conduction electrons and spins of the array, and the hopping strength t for the moving electrons. Here, we also include a direct exchange…

Strongly Correlated Electrons · Physics 2016-08-31 K. Le Hur

We study the Anderson disordered Hubbard model on the honeycomb lattice. The Hubbard term is han- dled with strong-coupling perturbation theory which encodes the Mott transition physics into a rich dynamical structure of a local…

Strongly Correlated Electrons · Physics 2018-12-06 Alireza Habibi , Elaheh Adibi , S. A. Jafari

The strong-coupling perturbation theory of the Hubbard model is presented and carried out to order (t/U)^5 for the one-particle Green function in arbitrary dimension. The spectral weight A(k,omega) is expressed as a Jacobi continued…

Strongly Correlated Electrons · Physics 2009-10-31 Stephane Pairault , David Senechal , A. -M. S. Tremblay

We present a detailed numerical study of spin and charge dynamics of the two-dimensional Kondo lattice model with hopping t and exchange J. At T=0 and J > 0, the competition between the RKKY interaction and Kondo effect triggers a quantum…

Strongly Correlated Electrons · Physics 2007-05-23 S. Capponi , F. F. Assaad

Starting from the two-orbital Kondo-lattice model with classical t_2g spins, an effective spinless fermion model is derived for strong Hund coupling J_H with a projection technique. The model is studied by Monte Carlo simulations and…

Strongly Correlated Electrons · Physics 2007-05-23 Winfried Koller , Alexander Pruell , Hans Gerd Evertz , Wolfgang von der Linden

Different scenarios of the implementation of the two-band model in strongly correlated electrons systems, including frustrated magnets, high-temperature superconductors, and Kondo lattices, are considered. The interaction of current…

Strongly Correlated Electrons · Physics 2018-04-23 V. Yu. Irkhin , Yu. N. Skryabin

We investigate the momentum-resolved spin and charge susceptibilities, as well as the chemical potential and double occupancy in the two-dimensional Hubbard model as functions of doping, temperature and interaction strength. Through these…

Strongly Correlated Electrons · Physics 2023-01-03 Fedor Šimkovic , Riccardo Rossi , Michel Ferrero

Numerical studies of the Hubbard model and its strong-coupling form, the t-J model, show evidence for antiferromagnetic, d_{x^2-y^2}-pairing and stripe correlations which remind one of phenomena seen in the layered cuprate materials. Here,…

Strongly Correlated Electrons · Physics 2007-05-23 Douglas J. Scalapino , Steven R. White
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