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The Hubbard model, which augments independent-electron band theory with a single parameter to describe electron-electron correlations, is widely regarded to be the `standard model' of condensed matter physics. The model has been remarkably…

Strongly Correlated Electrons · Physics 2016-02-17 S. M. Griffin , P. Staar , T. C. Schulthess , M. Troyer , N. A. Spaldin

We discuss a general approach to a realistic theory of the electronic structure in materials containing correlated d- or f- electrons. The main feature of this approach is the taking into account the energy dependence of the electron…

Strongly Correlated Electrons · Physics 2009-10-30 A. I. Lichtenstein , M. I. Katsnelson

An ab initio downfolding method is formulated to construct low-dimensional models for correlated electrons. In addition to the band downfolding by constrained random phase approximation formulated for 3D models, screening away from the…

Strongly Correlated Electrons · Physics 2011-01-11 Kazuma Nakamura , Yoshihide Yoshimoto , Yoshiro Nohara , Masatoshi Imada

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

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…

An effective low-energy model describing magnetic properties of alkali-cluster-loaded sodalites is derived by {\em ab initio} downfolding. We start with constructing an extended Hubbard model for maximally localized Wannier functions. {\em…

Strongly Correlated Electrons · Physics 2010-10-20 Kazuma Nakamura , Takashi Koretsune , Ryotaro Arita

Sliced-basis DMRG(sb-DMRG) is used to simulate a chain of hydrogen atoms and to construct low-energy effective Hubbard-like models. The downfolding procedure first involves a change of basis to a set of atom-centered Wannier functions…

Strongly Correlated Electrons · Physics 2021-09-14 Randy C. Sawaya , Steven R. White

In this study, we present a systematic comparison of various approaches within the constrained random-phase approximation (cRPA) for calculating the Coulomb interaction parameter $U$. While defining the correlated space is straightforward…

Strongly Correlated Electrons · Physics 2025-06-25 Indukuru Ramesh Reddy , M. Kaltak , Bongjae Kim

A new scheme of first-principles computation for strongly correlated electron systems is proposed. This scheme starts from the local-density approximation (LDA) at high-energy band structure, while the low-energy effective Hamiltonian is…

Materials Science · Physics 2007-05-23 Yoshiki Imai , Igor V. Solovyev , Masatoshi Imada

We propose a refined scheme of deriving an effective low-energy Hamiltonian for materials with strong electronic Coulomb correlations beyond density functional theory (DFT). By tracing out the electronic states away from the target degrees…

Strongly Correlated Electrons · Physics 2017-08-09 Motoaki Hirayama , Takashi Miyake , Masatoshi Imada , Silke Biermann

We present a model intended for rapid sampling of ground and excited state potential energy surfaces for first-row transition metal active sites. The method is computationally inexpensive and is suited for dynamics simulations where (1)…

Chemical Physics · Physics 2009-11-10 M. X. LaBute , R. G. Endres , D. L. Cox

We propose a systematic procedure for constructing effective lattice fermion models for narrow-band compounds on the basis of first-principles electronic structure calculations. The method is illustrated for the series of transition-metal…

Strongly Correlated Electrons · Physics 2009-11-11 I. V. Solovyev

We examine whether essence and quantitative aspects of electronic excitation spectra are correctly captured by an effective low-energy model constructed from an {\em ab initio} downfolding scheme. A global electronic structure is first…

Strongly Correlated Electrons · Physics 2009-11-13 Kazuma Nakamura , Yoshihide Yoshimoto , Ryotaro Arita , Shinji Tsuneyuki , Masatoshi Imada

Solving the many-electron problem, even approximately, is one of the most challenging and simultaneously most important problems in contemporary condensed matter physics with various connections to other fields. The standard approach is to…

Strongly Correlated Electrons · Physics 2026-04-10 Jonas B. Profe , Jakša Vučičević , P. Peter Stavropoulos , Malte Rösner , Roser Valentí , Lennart Klebl

Ab initio wavefunction based methods are applied to the study of electron correlation effects on the band structure of oxide systems. We choose MgO as a prototype closed-shell ionic oxide. Our analysis is based on a local Hamiltonian…

Materials Science · Physics 2007-08-13 L. Hozoi , U. Birkenheuer , P. Fulde , A. Mitrushchenkov , H. Stoll

The electronic and magnetic properties of many strongly-correlated systems are controlled by a limited number of states, located near the Fermi level and well isolated from the rest of the spectrum. This opens a formal way for combining the…

Strongly Correlated Electrons · Physics 2010-07-15 I. V. Solovyev

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

The effective interaction of downfolded low-energy models for electrons in solids can be obtained by integrating out the high energy bands away from the target band near the Fermi level. Here, we apply the constrained random-phase…

Strongly Correlated Electrons · Physics 2021-03-24 Xing-Jie Han , Philipp Werner , Carsten Honerkamp

We consider a multiband Hubbard model $H_m$ for Cu and O orbitals in Ba$_{2-x}$Sr$_x$CuO$_{3+\delta}$ similar to the tree-band model for two-dimensional (2D) cuprates. The hopping parameters are obtained from maximally localized Wannier…

Strongly Correlated Electrons · Physics 2024-05-29 Adrian E. Feiguin , Christian Helman , Armando A. Aligia

A novel hybrid scheme is proposed. The {\it ab initio} LDA calculation is used to construct the Wannier functions and obtain single electron and Coulomb parameters of the multiband Hubbard-type model. In strong correlation regime the…

Strongly Correlated Electrons · Physics 2007-05-23 V. A. Gavrichkov , M. M. Korshunov , S. G. Ovchinnikov , I. A. Nekrasov , Z. V. Pchelkina , V. I. Anisimov
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