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This thesis deals with the Hubbard model as prototypical model to describe the physics of electrons in the two-dimensional copper-oxide planes of high-$T_c$ cuprates. To get approximate solutions, we employ functional renormalization group…

Strongly Correlated Electrons · Physics 2022-12-13 Pietro Maria Bonetti

We study numerically the effect of on-site Hubbard interaction U between two electrons in the quasiperiodic Harper's equation. In the periodic chain limit by mapping the problem to that of one electron in two dimensions with a diagonal line…

Disordered Systems and Neural Networks · Physics 2009-10-30 S. N. Evangelou , D. E. Katsanos

We study the competition between an instantaneous local Coulomb repulsion and a boson mediated retarded attraction, as described by the Hubbard-Holstein model. Restricting to the case of half filling, the ground-state phase diagram and the…

Strongly Correlated Electrons · Physics 2010-07-26 Johannes Bauer , Alex C. Hewson

The impact of the strongly attractive electromagnetic field of heavy nuclei on electrons in quasi-elastic (e,e') scattering is often accounted for by the effective momentum approximation. This method is a plane wave Born approximation which…

Nuclear Theory · Physics 2011-11-09 Andreas Aste , Dirk Trautmann

The interaction of an electron with a local static charge distribution (e.g., an atom or molecule) is dominated at large distances by the radial 1/r Coulomb potential. The second order effect comes from the non-central electric dipole…

Quantum Physics · Physics 2023-02-08 A. D. Alhaidari , H. Bahlouli

Localized charged states and phase segregation are described in the framework of the phenomenological Ginzburg-Landau theory of phase transitions. The Coulomb interactions determines the charge distribution and the characteristic length of…

Strongly Correlated Electrons · Physics 2009-11-13 V. V. Kabanov , R. F. Mamin , T. S. Shaposhnikova

The electronic correlations on a C$_{20}$ molecule, as described by an extended Hubbard Hamiltonian with a nearest neighbor Coulomb interaction of strength $V$, are studied using quantum Monte Carlo and exact diagonalization methods. For…

Strongly Correlated Electrons · Physics 2009-11-13 Fei Lin , Erik S. Sørensen , Catherine Kallin , A. John Berlinsky

We generalize the two-particle self-consistent approach (TPSC) to study the extended Hubbard model, where nearest-neighbor interaction is present in addition to the usual local screened interaction. Similarities and differences between the…

Strongly Correlated Electrons · Physics 2009-11-11 B. Davoudi , A. -M. S. Tremblay

Multipole electron modes beyond the Mie plasmon in atomic clusters are investigated within the time-dependent local density approximation theory (TDLDA). We consider the origin of the modes, their connection with basic cluster properties…

Atomic and Molecular Clusters · Physics 2014-02-04 V. O. Nesterenko , P. -G. Reinhard , W. Kleinig

We use a stochastic series expansion quantum Monte Carlo method to study the phase diagram of the one-dimensional extended Hubbard model at half filling for small to intermediate values of the on-site (U) and nearest-neighbor (V)…

Strongly Correlated Electrons · Physics 2009-11-07 Pinaki Sengupta , Anders W. Sandvik , David K. Campbell

The variational cluster approximation is used to study the ground-state properties and single-particle spectra of the three-component fermionic Hubbard model defined on the two-dimensional square lattice at half filling. First, we show that…

Strongly Correlated Electrons · Physics 2016-06-16 Takumi Hasunuma , Tatsuya Kaneko , Shohei Miyakoshi , Yukinori Ohta

We investigate the entanglement properties in semiconductor quantum dot systems modeled by extended Hubbard model, focusing on the impact of potential energy variations and electron interactions within a four-site quantum dot spin chain.…

Mesoscale and Nanoscale Physics · Physics 2025-04-30 Guanjie He , Xin Wang

We present a theoretical study of a model heterostructure for a Mott-insulator sandwiched between two band insulators, such as SrTiO3/LaTiO3. Particular emphasis is given on the interplay between magnetism and inhomogeneous charge…

Strongly Correlated Electrons · Physics 2013-02-19 Suguru Ueda , Norio Kawakami , Manfred Sigrist

Superconductivity and polar charge fluctuation are studied in an organic conductor with the dimer-molecule degree of freedom. The extended Hubbard models, where the intra-dimer electronic structure and the inter-dimer Coulomb interactions…

Strongly Correlated Electrons · Physics 2013-03-01 Akihiko Sekine , Joji Nasu , Sumio Ishihara

We investigate the Mott transitions in two-orbital Hubbard systems. Applying the dynamical mean field theory and the self-energy functional approach, we discuss the stability of itinerant quasi-particle states in each band. It is shown that…

Strongly Correlated Electrons · Physics 2009-11-11 A. Koga , K. Inaba , N. Kawakami

The two-orbital Hubbard model on a square lattice at quarter filling (electron number per site $n=1$) is investigated by the variational Monte Carlo method. For the variational wave function, we include short-range doublon-holon binding…

Strongly Correlated Electrons · Physics 2021-02-16 Katsunori Kubo

We consider the Hubbard-Holstein model in the adiabatic limit to investigate the effects of electron-electron interactions on the electron-phonon coupling. To this aim we compute at any momentum and filling the static charge susceptibility…

Strongly Correlated Electrons · Physics 2009-11-13 A. Di Ciolo , J. Lorenzana , M. Grilli , G. Seibold

We investigate the extended Hubbard model as an approximation to the local and spatial entanglement of a one-dimensional chain of nanostructures where the particles interact via a long range interaction represented by a `soft' Coulomb…

Strongly Correlated Electrons · Physics 2011-02-03 J. P. Coe , V. V. França , I. D'Amico

The two-band Hubbard model is used to analyze a possibility of a non-uniform charge distribution in a strongly correlated electron system with two types of charge carriers. It is demonstrated that in the limit of strong on-site Coulomb…

Strongly Correlated Electrons · Physics 2009-11-13 A. O. Sboychakov , K. I. Kugel , A. L. Rakhmanov

We investigate the formation of charge and spin ordering by starting from a non-interacting state and studying how it evolves in time under a Hamiltonian with finite electronic interactions. We consider the one-dimensional, half-filled…

Strongly Correlated Electrons · Physics 2024-02-21 Isaac M. Carvalho , Helena Bragança , Walber H. Brito , Maria C. O. Aguiar