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Related papers: Lieb-Wu Solution, Gutzwiller-Wave-Function, and Gu…

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We present analytic results for ground-state properties of Hubbard-type models in terms of the Gutzwiller variational wave function with non-zero values of the magnetization m. In dimension D=1 approximation-free evaluations are made…

Strongly Correlated Electrons · Physics 2009-11-07 Marcus Kollar , Dieter Vollhardt

In this work, we study the wavefunctions of the one dimensional $1/r$ Hubbard model in the strong interaction limit $U =\infty$. A set of Gutzwiller-Jastorw wavefunctions are shown to be eigen-functions of the Hamiltonian. The entire…

Condensed Matter · Physics 2019-08-15 D. F. Wang Joseph Henry , Q. F. Zhong , P. Coleman Serin

We study the coexistence of pair- (PDW) and charge-density-wave (CDW) states within the single-band $t$-$J$-$U$ and Hubbard models of $d$-$wave$ superconductivity and discuss our results in the context of the experimental observations for…

Superconductivity · Physics 2018-11-07 M. Zegrodnik , J. Spałek

The Gutzwiller approximate solution to the Gutzwiller wavefunction yields exact results for the Gutzwiller wavefunction in the infinite dimensional limit. Implicit in the Gutzwiller approximation is an approximate local form of the fermion…

Strongly Correlated Electrons · Physics 2009-07-27 Balazs Hetenyi , Hans Gerd Evertz , Wolfgang von der Linden

In the present paper, we propose an efficient numerical scheme for Gutzwiller method for multi-band Hubbard models with general onsite Coulomb interaction. Following the basic idea of Deng et al. [Phys. Rev. B 79, 075114 (2009)] and…

Strongly Correlated Electrons · Physics 2021-11-18 Shiyu Peng , Hongming Weng , Xi Dai

The determination of the ground state of quantum many-body systems via digital quantum computers rests upon the initialization of a sufficiently educated guess. This requirement becomes more stringent the greater the system. Preparing…

Quantum Physics · Physics 2021-06-30 Bruno Murta , Joaquín Fernández-Rossier

This study examines how the GW approximation, one of the techniques covered by Green's functions and on many-body approximations (GFMBA), fares compared to the treatment of the Hubbard model solved using an exact diagonalization (ED)…

Strongly Correlated Electrons · Physics 2022-12-08 Antoine Honet , Luc Henrard , Vincent Meunier

Through Variational Monte Carlo simulation we show the d-wave RVB pairing in the Heisenberg model on triangular lattice can be better described in terms of a two component order parameter. The fully gapped chiral d-wave RVB state, which is…

Strongly Correlated Electrons · Physics 2010-05-18 Tao Li

We present a self-consistent numerical approach to solve the Gutzwiller variational problem for general multi-band models with arbitrary on-site interaction. The proposed method generalizes and improves the procedure derived by Deng et al.,…

Strongly Correlated Electrons · Physics 2015-05-30 Nicola Lanatà , Hugo U. R. Strand , Xi Dai , Bo Hellsing

We present an implementation of the GW approximation for the electronic self-energy within the full-potential linearized augmented-plane-wave (FLAPW) method. The algorithm uses an all-electron mixed product basis for the representation of…

Materials Science · Physics 2010-11-15 Christoph Friedrich , Stefan Blügel , Arno Schindlmayr

We develop a new density functional theory (DFT) and formalism for correlated electron systems by taking as reference an interacting electron system that has a ground state wavefunction which obeys exactly the Gutzwiller approximation for…

Superconductivity · Physics 2009-11-13 K. M. Ho , J. Schmalian , C. Z. Wang

We consider an extension of the (t-U) Hubbard model taking into account new interactions between the numbers of up and down electrons. We confine ourselves to a one-dimensional open chain with L sites (4^L states) and derive the effective…

High Energy Physics - Theory · Physics 2009-10-22 F. C. Alcaraz , D. Arnaudon , V. Rittenberg , M. Scheunert

We develop a diagrammatic method for the evaluation of general multi-band Gutzwiller wave functions in finite dimensions. Our approach provides a systematic improvement of the widely used Gutzwiller approximation. As a first application we…

Strongly Correlated Electrons · Physics 2016-08-03 Kevin zu Münster , Jörg Bünemann

A systematic diagrammatic expansion for Gutzwiller-wave functions (DE-GWF) proposed very recently is used for the description of superconducting (SC) ground state in the two-dimensional square-lattice $t$-$J$ model with the hopping electron…

Strongly Correlated Electrons · Physics 2014-07-22 J. Kaczmarczyk , J. Bünemann , J. Spałek

The Hubbard model is investigated in the framework of lattice density functional theory (LDFT). The single-particle density matrix $\gamma_{ij}$ with respect the lattice sites is considered as the basic variable of the many-body problem. A…

Strongly Correlated Electrons · Physics 2009-11-10 R. Lopez-Sandoval , G. M. Pastor

We extend our previous approach (Eur. Phys. J. B, \textbf{74}, 63(2010)) to modeling correlated electronic states and the metal-insulator transition by applying the so-called \emph{statistically consistent Gutzwiller approximation} (SGA) to…

Strongly Correlated Electrons · Physics 2014-07-04 Andrzej P. Kądzielawa , Jozef Spałek , Jan Kurzyk , Włodzimierz Wójcik

A novel self-consistent implementation of Hedin's GW perturbation theory is introduced. This finite-temperature method uses Hartree-Fock wave functions to represent Green's function. GW equations are solved with full potential linear…

Strongly Correlated Electrons · Physics 2015-05-13 Andrey Kutepov , Sergey Yu. Savrasov , Gabriel Kotliar

Variational wave functions have been a successful tool to investigate the properties of quantum spin liquids. Finding their parent Hamiltonians is of primary interest for the experimental simulation of these strongly correlated phases, and…

Strongly Correlated Electrons · Physics 2020-03-18 Xhek Turkeshi , Marcello Dalmonte

We propose a quantum-classical hybrid scheme for implementing the nonunitary Gutzwiller factor using a discrete Hubbard-Stratonovich transformation, which allows us to express the Gutzwiller factor as a linear combination of unitary…

Quantum Physics · Physics 2022-04-15 Kazuhiro Seki , Yuichi Otsuka , Seiji Yunoki

Combining the density functional theory (DFT) and the Gutzwiller variational approach, a LDA+Gutzwiller method is developed to treat the correlated electron systems from {\it ab-initio}. All variational parameters are self-consistently…

Strongly Correlated Electrons · Physics 2009-11-13 XiaoYu Deng , Xi Dai , Zhong Fang