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In this work, we address the question of calculating the local effective Coulomb interaction matrix in materials with strong electronic Coulomb interactions from first principles. To this purpose, we implement the constrained random phase…

Strongly Correlated Electrons · Physics 2012-10-22 Loig Vaugier , Hong Jiang , Silke Biermann

The predictive accuracy of popular extensions to density-functional theory (DFT) such as DFT+U and DFT plus dynamical mean-field theory (DFT+DMFT) hinges on using realistic values for the screened Coulomb interaction U. Here, we present a…

Strongly Correlated Electrons · Physics 2025-12-24 Alberto Carta , Iurii Timrov , Sophie Beck , Claude Ederer

We present a new method to obtain interaction part of a model Hamiltonian from the result of the first-principles calculation. The effective interaction contained in the model is determined based on the random phase approximation (RPA). In…

Materials Science · Physics 2017-04-26 Hirofumi Sakakibara , Seung Woo Jang , Hiori Kino , Myung Joon Han , Kazuhiko Kuroki , Takao Kotani

We calculate the screened electron-electron interaction for the charge-disproportionated insulator CaFeO$_3$ using the constrained random-phase approximation (cRPA). While in many correlated materials, the formation of a Mott-insulating…

Strongly Correlated Electrons · Physics 2024-03-05 Maximilian E. Merkel , Claude Ederer

Correlation effects play an important role in the electronic structure of half-metallic (HM) magnets. In particular, they give rise to non-quasiparticle states above (or below) the Fermi energy at finite temperatures that reduce the spin…

Strongly Correlated Electrons · Physics 2015-06-17 Ersoy Sasioglu , Iosif Galanakis , Christoph Friedrich , Stefan Blügel

The effective on-site Coulomb interaction (Hubbard $U$) between localized electrons at crystal surfaces is expected to be enhanced due to the reduced coordination number and reduced subsequent screening. By means of first principles…

Strongly Correlated Electrons · Physics 2015-06-11 Ersoy Sasioglu , Christoph Friedrich , Stefan Blügel

Despite the importance of the electron correlation in the first-principles description of the Li-ion cathode materials, the Coulomb interaction parameter, U is often treated as an ad hoc value. In practice, one usually relies on empirical…

Materials Science · Physics 2021-03-10 Bongjae Kim , Kyoo Kim , Sooran Kim

We present a constrained Random Phase Approximation (cRPA) method, termed spectral cRPA (s-cRPA), and compare it to established cRPA approaches for Scandium and Copper by varying the 3d shell filling. The s-cRPA method generally produces…

Strongly Correlated Electrons · Physics 2025-12-02 Merzuk Kaltak , Alexander Hampel , Martin Schlipf , Indukuru Ramesh Reddy , Bongjae Kim , Georg Kresse

We study the reliability of the constrained random phase approximation (cRPA) method for the calculation of low-energy effective Hamiltonians by considering multi-orbital lattice models with one strongly correlated "target" band and two…

Strongly Correlated Electrons · Physics 2015-07-24 Hiroshi Shinaoka , Matthias Troyer , Philipp Werner

We apply local orbital basis density functional theory (using SIESTA) coupled with a mapping to the Anderson impurity model to estimate the Coulomb assisted or correlated hybridization between transition metal d-orbitals and ligand…

Strongly Correlated Electrons · Physics 2009-11-11 A. Huebsch , J. C. Lin , J. Pan , D. L. Cox

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

We present a first-principles method for deriving effective low-energy models of electrons in solids having entangled band structure. The procedure starts with dividing the Hilbert space into two subspaces, the low-energy part ("$d$…

Strongly Correlated Electrons · Physics 2010-10-20 Takashi Miyake , Ferdi Aryasetiawan , Masatoshi Imada

We present first-principle calculation of the on-site and nearest neighbor Coulomb interaction strength of the Ni $d$ orbitals in bulk $LaNiO_{2}$, using the constrained Random Phase Approximation method. The nearest neighbor correlation…

Strongly Correlated Electrons · Physics 2022-06-17 Long Zhang , Hai-Ping Cheng

In this work, we report the pressure dependence of the effective Coulomb interaction parameters (Hubbard U) in paramagnetic NiO within the constrained random phase approximation (cRPA). We consider five different low energy models starting…

Strongly Correlated Electrons · Physics 2017-08-02 S. K. Panda , H. Jiang , S. Biermann

In the derivation of low-energy effective models for solids targeting the bands near the Fermi level, the constrained random phase approximation (cRPA) has become an appreciated tool to compute the effective interactions. The Wick-ordered…

Strongly Correlated Electrons · Physics 2015-07-15 Michael Kinza , Carsten Honerkamp

Elucidating the impact of strong electronic interactions on the collective excitations of metallic systems has been of longstanding interest, mainly due to the inadequacy of the random phase approximation (RPA) in the strongly correlated…

Strongly Correlated Electrons · Physics 2024-09-25 Loïc Philoxene , Vu Hung Dao , Raymond Frésard

The accuracy of the constrained random phase approximation(cRPA) method is examined in multi-orbital Hubbard models containing all possible on-site density-density interactions. Using DMFT, we show that the effective model constructed using…

Strongly Correlated Electrons · Physics 2018-10-16 Qiang Han , B. Chakrabarti , K. Haule

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 many-body theory of interacting electrons poses an intrinsically difficult problem that requires simplifying assumptions. For the determination of electronic screening properties of the Coulomb interaction, the Random Phase…

Strongly Correlated Electrons · Physics 2021-07-26 Erik G. C. P. van Loon , Malte Rösner , Mikhail I. Katsnelson , Tim O. Wehling

In correlated electron materials, the application of many-body techniques for the study of interaction effects or unconventional superconductivity often requires the formulation of an effective low-energy model that contains only the…

Strongly Correlated Electrons · Physics 2013-05-30 Carsten Honerkamp
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