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This letter announces and summarizes results obtained in arXiv:1111.5051 and considers several natural extensions. The aforementioned paper proposes a procedure to reconstruct coefficients in a second-order, scalar, elliptic equation from…

Analysis of PDEs · Mathematics 2012-03-07 Guillaume Bal , Gunther Uhlmann

We develop two theoretical approaches for dealing with the low-energy effects of the repulsive interaction in one-dimensional electron systems. Renormalization Group methods allow us to study the low-energy behavior of the unscreened…

Strongly Correlated Electrons · Physics 2009-11-11 S. Bellucci , P. Onorato

A double hybrid approximation using the Coulomb-attenuating method (CAM-DH) is derived within range-separated density-functional perturbation theory, in the spirit of a recent work by Cornaton {\it et al.} [Phys. Rev. A 88, 022516 (2013)].…

Chemical Physics · Physics 2014-04-21 Yann Cornaton , Emmanuel Fromager

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

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

We present a high-accuracy procedure for electronic structure calculations of strongly correlated materials. To address limitations in current electronic structure methods, we employ density functional theory in combination with the…

By means of a diagram technique for Hubbard operators we show the existence of a spin-dependent renormalization of the localized levels in an interacting region, e.g. quantum dot, modeled by the Anderson Hamiltonian with two conduction…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 J. Fransson , O. Eriksson , I. Sandalov

Quantum chromodynamics and the electroweak theory at low energies are prominent instances of the combination of a short-range and a long-range interaction. For the description of light nuclei, the large nucleon-nucleon scattering lengths…

Nuclear Theory · Physics 2016-03-23 J. Kirscher , D. Gazit

The effective on-site Coulomb interaction (Hubbard $U$) between localized \textit{d} electrons in 3\textit{d}, 4\textit{d}, and 5\textit{d} transition metals is calculated employing a new parameter-free realization of the constrained…

Strongly Correlated Electrons · Physics 2015-05-27 Ersoy Sasioglu , Christoph Friedrich , Stefan Blügel

Suppression of electron motion under an alternating current (AC) electric field is examined in a one-dimensional Hubbard model. Utilizing three complementary calculation methods, it is found unambiguously that magnitudes of the…

Strongly Correlated Electrons · Physics 2017-03-01 Atsushi Ono , Hiroshi Hashimoto , Sumio Ishihara

Coulomb interaction and its screening play an important role in many physical phenomena of materials ranging from optical properties to many-body effects including superconductivity. Here, we report on a systematic study of dielectric…

Materials Science · Physics 2017-04-05 D. A. Prishchenko , V. G. Mazurenko , M. I. Katsnelson , A. N. Rudenko

The present work deals with holographic dark energy models with Hubble horizon as the infra-red cut-off. The interaction rate between dark energy and dark matter has been reconstructed with three different choices of the interaction term.…

Cosmology and Nongalactic Astrophysics · Physics 2019-04-17 Purba Mukherjee , Ankan Mukherjee , H. K. Jassal , Ananda Dasgupta , Narayan Banerjee

We theoretically study the conductivity in arrays of metallic grains due to the variable-range multiple cotunneling of electrons with short-range (screened) Coulomb interaction. The system is supposed to be coupled to random stray charges…

Disordered Systems and Neural Networks · Physics 2017-06-14 A. S. Ioselevich , V. V. Sivak

Renormalization group procedure suggests that the low-energy behavior of effective coupling constant in asymptotically free Hamiltonians is connected with the existence of bound states and depends on how the interactions responsible for the…

High Energy Physics - Theory · Physics 2009-01-22 Stanislaw D. Glazek

Using many-body diagrammatic perturbation theory we consider carrier density- and substrate-dependent many-body renormalization of doped or gated graphene induced by Coulombic electron-electron interaction effects. We quantitatively…

Mesoscale and Nanoscale Physics · Physics 2013-02-11 S. Das Sarma , E. H. Hwang

We derive a dielectric-dependent hybrid functional which accurately describes the electronic properties of heterogeneous interfaces and surfaces, as well as those of three- and two-dimensional bulk solids. The functional, which does not…

Materials Science · Physics 2019-07-17 Huihuo Zheng , Marco Govoni , Giulia Galli

The theory of correlated electron systems is formulated in a form which allows to use as a reference point an ab initio band structure theory (AIBST). The theory is constructed in two steps. As a first step the total Hamiltonian is…

Strongly Correlated Electrons · Physics 2007-05-23 Igor Sandalov , Borje Johansson , Olle Eriksson

This paper presents a renormalization approach to many-particle systems. By starting from a bare Hamiltonian ${\cal H}= {\cal H}_0 +{\cal H}_1$ with an unperturbed part ${\cal H}_0$ and a perturbation ${\cal H}_1$,we define an effective…

Strongly Correlated Electrons · Physics 2009-11-07 K. W. Becker , A. Huebsch , T. Sommer

We use the Gutzwiller method to investigate the importance of the on-site Coulomb interaction in graphene. We apply it to Hubbard Hamiltonian to study the renormalization of the kinetic energy in graphene due to the on-site Coulomb…

Strongly Correlated Electrons · Physics 2007-12-19 Hari P. Dahal , Jean-Pierre Julien , A. V. Balatsky

In this report, we explore the use of a quantum optimization algorithm for obtaining low energy conformations of protein models. We discuss mappings between protein models and optimization variables, which are in turn mapped to a system of…

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