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The canonical one-band Hubbard model is studied using a computational method that mixes the Monte Carlo procedure with the mean field approximation. This technique allows us to incorporate thermal fluctuations and the development of…

Strongly Correlated Electrons · Physics 2014-11-25 Anamitra Mukherjee , Niravkumar D. Patel , Shuai Dong , Steve Johnston , Adriana Moreo , Elbio Dagotto

We conduct a systematic investigation of the role of Hubbard U corrections in electronic structure calculations of two-dimensional (2D) materials containing 3d transition metals. Specifically, we use density functional theory (DFT) with the…

Materials Science · Physics 2024-11-19 Sahar Pakdel , Thomas Olsen , Kristian S. Thygesen

The temperature dependence of the transport properties of the metallic phase of a frustrated Hubbard model on the hypercubic lattice at half-filling are calculated. Dynamical mean-field theory, which maps the Hubbard model onto a single…

Strongly Correlated Electrons · Physics 2009-10-31 Jaime Merino , Ross H. McKenzie

A hyperbolic singularity in the wave-function of $s$-wave interacting atoms is the root problem for any accurate numerical simulation. Here we apply the transcorrelated method, whereby the wave-function singularity is explicitly described…

Quantum Gases · Physics 2020-11-24 Péter Jeszenszki , Ulrich Ebling , Hongjun Luo , Ali Alavi , Joachim Brand

Although the density functional theory plus Hubbard $U$ correction method (DFT+U) is broadly used to study electronic structure of strongly correlated materials, the extension of this method to electron-phonon $g$ matrices has received…

Strongly Correlated Electrons · Physics 2026-05-21 Jiale Chen , Youyou Tu , Chengliang Xia , Jin Zhao , Hanghui Chen

Except for small molecules, it is impossible to solve many electrons systems without imposing severe approximations. If the configuration interaction approaches (CI) or Coupled Clusters techniques \cite{FuldeBook} are applicable for…

Strongly Correlated Electrons · Physics 2009-11-11 J. P. Julien , Johann Bouchet

A method for constructing semianalytical strongly correlated wave functions for single and molecular quantum dots is presented. It employs a two-step approach of symmetry breaking at the Hartree-Fock level and of subsequent restoration of…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Constantine Yannouleas , Uzi Landman

Using the Ogata-Shiba wave function, the spectral functions of the one-dimensional infinite U Hubbard model are calculated for various concentrations. It is shown that the ``shadow band'' feature due to 2k_F fluctuations becomes more…

Strongly Correlated Electrons · Physics 2009-10-28 Julien Favand , Stephan Haas , Karlo Penc , Frederic Mila , Elbio Dagotto

The conventional technique for solving the equations of quantum chemistry (of solid state) is extended unconventionally to the structures possessing certain symmetries. This proposal concerns changing the way for selection of occupied…

Chemical Physics · Physics 2007-05-23 Evgeny Z. Liverts

The last decade has seen a large increase in the number of electronic-structure calculations that involve adding a Hubbard term to the local density approximation band-structure Hamiltonian. The Hubbard term is then solved either at the…

Strongly Correlated Electrons · Physics 2009-08-25 R. C. Albers , N. E. Christensen , A. Svane

The Douglas-Kroll transformed Dirac-Coulomb Hamiltonian is used to describe scalar-relativistic effects in solids. A Hartree-Fock approximation with periodic boundary conditions makes it feasible to use methods originally developed for…

Materials Science · Physics 2015-06-25 Norbert J. M. Geipel , Bernd A. Hess

We benchmark angular-momentum projected{-after-variation} Hartree-Fock calculations as an approximation to full configuration-interaction results in a shell model basis. For such a simple approximation we find reasonably good agreement…

Nuclear Theory · Physics 2021-11-12 Stephanie M. Lauber , Hayden C. Frye , Calvin W. Johnson

We design an ingenious scheme to realize the Haldane's quantum Hall model without Landau level by using ultracold atoms trapped in an optical lattice. Three standing-wave laser beams are used to construct a wanted honeycomb lattice, where…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 L. B. Shao , Shi-Liang Zhu , L. Sheng , D. Y. Xing , Z. D. Wang

The multiconfiguration time-dependent Hartree-Fock (MCTDHF) method is formulated for treating the coupled electronic and nuclear dynamics of diatomic molecules without the Born- Oppenheimer approximation. The method treats the full…

Computational Physics · Physics 2015-05-27 Daniel J. Haxton , Keith V. Lawler , C. William McCurdy

We develop an efficient method to calculate the third-order corrections to the self-energy of the hole-doped two-dimensional Hubbard model in space-time representation. Using the Dyson equation we evaluate the renormalized spectral function…

Strongly Correlated Electrons · Physics 2009-10-31 V. Zlatic , B. Horvatic , B. Dolicki , S. Grabowski , P. Entel , K. -D. Schotte

We present $\vec{k}$-dependent one-particle spectra and corresponding effective bandstructures for the $2d$ Hubbard model calculated within the dynamical molecular field theory (DMFT). This method has proven to yield highly nontrivial…

Condensed Matter · Physics 2016-08-31 Th. Pruschke , Th. Obermeier , J. Keller , M. Jarrell

A strong-coupling series expansion for the Green's function and the extremely-correlated Fermi liquid (ECFL) theory are used to calculate the moments of the electronic spectral functions of the infinite-U Hubbard model. Results from these…

Strongly Correlated Electrons · Physics 2026-01-16 Ehsan Khatami , Daniel Hansen , Edward Perepelitsky , Marcos Rigol , B. Sriram Shastry

We report the emergence or broadening of exotic magnetic metallic phases upon explicit breaking of $SU(2)$ symmetry by introduction of mass imbalance in a variant of Hubbard model, known as the ionic Hubbard model in the presence of…

Strongly Correlated Electrons · Physics 2021-01-21 Anwesha Chattopadhyay

We apply the Hulth\`en-Kohn method suggested by V. D. Efros [Phys. Rev. C 99, 034620 (2019)] for calculating various observables in the continuum and discrete spectrum using two-body interactions in single- and coupled-channel systems. This…

Nuclear Theory · Physics 2025-09-04 M. A. Sharaf , A. M. Shirokov , W. Du , J. P. Vary

LDA+DMFT, the computation scheme merging the local density approximation and the dynamical mean-field theory, is employed to calculate spectra both below and above the Fermi energy and spin and orbital occupations in the correlated…

Strongly Correlated Electrons · Physics 2009-11-10 G. Keller , K. Held , V. Eyert , D. Vollhardt , V. I. Anisimov