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Related papers: RTGW2020: A powerful implementation of DFT + Gutzw…

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We present a formulation of the density-functional theory + Hubbard model (DFT+U) method that is self-consistent over the choice of Hubbard projectors used to define the correlated subspaces. In order to overcome the arbitrariness in this…

Materials Science · Physics 2015-03-17 David D. O'Regan , Nicholas D. M. Hine , Mike C. Payne , Arash A. Mostofi

Ground-state properties, such as energies and double occupancies, of a one-dimensional two-band Hubbard model are calculated using a first principles Gutzwiller conjugate gradient minimization theory. The favorable agreement with the…

Strongly Correlated Electrons · Physics 2023-01-18 Zhuo Ye , Feng Zhang , Yong-Xin Yao , Cai-Zhuang Wang , Kai-Ming Ho

We develop a variational scheme called "Gutzwiller renormalization group" (GRG), which enables us to calculate the ground state of Anderson impurity models (AIM) with arbitrary numerical precision. Our method can exploit the…

Strongly Correlated Electrons · Physics 2017-02-15 Nicola Lanatà , Yong-Xin Yao , Xiaoyu Deng , Cai-Zhuang Wang , Kai-Ming Ho , Gabriel Kotliar

We present a formulation and implementation of the DFT+\textit{U} method within the framework of linear combination of numerical atomic orbitals (NAO). Our implementation not only enables single-point total energy and electronic-structure…

Materials Science · Physics 2022-06-29 Xin Qu , Peng Xu , Hong Jiang , Lixin He , Xinguo Ren

In this tutorial presentation, we give a comprehensive introduction into the Gutzwiller variational approach and its merger with the density functional theory. The merits of this method are illustrated by a discussion of results for…

Strongly Correlated Electrons · Physics 2012-07-30 Jörg Bünemann

We give a comprehensive introduction into an efficient numerical scheme for the minimisation of Gutzwiller energy functionals in studies on multi-band Hubbard models. Our method covers all conceivable cases of Gutzwiller variational wave…

Strongly Correlated Electrons · Physics 2015-06-03 Jörg Bünemann , Florian Gebhard , Tobias Schickling , Werner Weber

We present an approach to parameterize DFT+$U$+$V$ from hybrid-functional calculations using Wannier-function projections. The method constructs a common localized Wannier basis for both semilocal DFT and hybrid-functional calculations,…

Strongly Correlated Electrons · Physics 2026-02-25 Dmitry M. Korotin , Anna A. Anisimova , Vladimir I. Anisimov

We introduce Gutzwiller conjugate gradient minimization (GCGM) theory, an ab initio quantum many-body theory for computing the ground-state properties of infinite systems. GCGM uses the Gutzwiller wave function but does not use the commonly…

Strongly Correlated Electrons · Physics 2020-05-18 Zhuo Ye , Feng Zhang , Yong-Xin Yao , Cai-Zhuang Wang , Kai-Ming Ho

We study a system of electrons on a one-dimensional lattice, interacting through the long range Coulomb forces, by means of a variational technique which is the strong coupling analog of the Gutzwiller approach. The problem is thus the…

Strongly Correlated Electrons · Physics 2007-05-23 S. Fratini , B. Valenzuela , D. Baeriswyl

A systematic diagrammatic expansion for Gutzwiller-wave functions (DE-GWF) is formulated and used for the description of superconducting (SC) ground state in the two-dimensional Hubbard model with electron-transfer amplitudes t (and t')…

Strongly Correlated Electrons · Physics 2013-09-24 J. Kaczmarczyk , J. Spałek , T. Schickling , J. Buenemann

We present a method to numerically obtain low-energy effective models based on a unitary transformation of the ground state. The algorithm finds a unitary circuit that transforms the ground state of the original model to a projected…

Strongly Correlated Electrons · Physics 2025-07-23 Shengtao Jiang , Steven R. White

The recently proposed diagrammatic expansion (DE) technique for the full Gutzwiller wave function (GWF) is applied to the Anderson lattice model (ALM). This approach allows for a systematic evaluation of the expectation values with GWF in…

Strongly Correlated Electrons · Physics 2015-09-22 Marcin Wysokinski , Jan Kaczmarczyk , Jozef Spalek

Explicitly correlated methods, such as the transcorrelated method which shifts a Jastrow or Gutzwiller correlator from the wave function to the Hamiltonian, are designed for high-accuracy calculations of electronic structures, but their…

Strongly Correlated Electrons · Physics 2026-04-10 Benjamin Corbett , Akimasa Miyake

We implement the Gutzwiller wave function for attractive SU(3) fermion systems on a quantum computer using a quantum-classical hybrid scheme based on the discrete Hubbard-Stratonovich transformation. In this approach, the nonunitary…

Quantum Physics · Physics 2025-12-16 Han Xu , Kazuhiro Seki , Seiji Yunoki

We apply two ab initio many-body methods based on Gutzwiller wave functions, i.e., correlation matrix renormalization theory (CMRT) and Gutzwiller conjugate gradient minimization (GCGM), to the study of crystalline phases of atomic…

Strongly Correlated Electrons · Physics 2025-10-06 Zhuo Ye , Jun Liu , Yong-Xin Yao , Feng Zhang , Kai-Ming Ho , Cai-Zhuang Wang

Partially-projected Gutzwiller variational wavefunctions are used to describe the ground state of disordered interacting systems of fermions. We compare several different variational ground states with the exact ground state for disordered…

Strongly Correlated Electrons · Physics 2009-06-19 A. Farhoodfar , X. Chen , R. J. Gooding , W. A. Atkinson

We study the Gutzwiller method for the spinless fermion model in one dimension, which is one of the simplest models that incorporates the intersite Coulomb interaction. The Gutzwiller solution of this model has been studied in the…

Strongly Correlated Electrons · Physics 2013-07-12 M. Sherafati , S. Satpathy , D. Pettey

The ionic Hubbard model is a paradigmatic setup for studying the competition between band and Mott insulating behavior. Within the variationally exact in infinite dimensions Gutzwiller approximation, we derive a compact analytic expression…

Strongly Correlated Electrons · Physics 2025-12-13 Marcin M. Wysokiński

We introduce Gutzwiller wave functions for multi-band models with general on-site Coulomb interactions. As these wave functions employ correlators for the exact atomic eigenstates they are exact both in the non-interacting and in the atomic…

Strongly Correlated Electrons · Physics 2012-07-28 J. Bünemann , W. Weber , F. Gebhard

We use the Gutzwiller variational theory to calculate the ground-state phase diagram and quasi-particle bands of LaOFeAs. The Fe3d--As4p Wannier-orbital basis obtained from density-functional theory defines the band part of our eight-band…

Strongly Correlated Electrons · Physics 2014-10-07 Tobias Schickling , Florian Gebhard , Jörg Bünemann , Lilia Boeri , Ole K. Andersen , Werner Weber