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We introduce variational wave functions to evaluate the ground-state properties of spin-phonon coupled systems described by the Su-Schrieffer-Heeger model. Quantum spins and phonons are treated on equal footing within a Monte Carlo…

Strongly Correlated Electrons · Physics 2020-10-06 Francesco Ferrari , Roser Valenti , Federico Becca

Multi-band Gutzwiller-correlated wave functions reconcile the contrasting concepts of itinerant band electrons versus electrons localized in partially filled atomic shells. The exact evaluation of these variational ground states in the…

Strongly Correlated Electrons · Physics 2007-05-23 W. Weber , J. Buenemann , F. Gebhard

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

The Gutzwiller projection of fermionic wave functions is a well-established method for generating variational wave functions describing exotic states of matter, such as quantum spin liquids. We investigate the conditions under which a…

Strongly Correlated Electrons · Physics 2025-09-03 Rafael A. Macedo , Carlo C. Bellinati , Weslei B. Fontana , Eric C. Andrade , Rodrigo G. Pereira

The Hubbard Hamiltonian is investigated by means of a variational trial wave function of Gutzwiller's type. The wave function includes nearest - neighbor correlations in an explicit form. To calculate density matrices the method of…

Strongly Correlated Electrons · Physics 2009-10-30 Yu. B. Kudasov

We analyze the ground-state properties of strongly-correlated electrons coupled with phonons by means of a generalized Gutzwiller wavefunction which includes phononic degrees of freedom. We study in detail the paramagnetic half-filled…

Strongly Correlated Electrons · Physics 2008-07-29 P. Barone , R. Raimondi , M. Capone , C. Castellani , M. Fabrizio

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

Twenty-five years after the first proposal, the question whether the ground state of a frustrated spin-half system is well described by a spin-liquid Resonating Valence Bond (RVB) wave function is still controversial. A physically…

Strongly Correlated Electrons · Physics 2007-05-23 Luca Capriotti , Federico Becca , Alberto Parola , Sandro Sorella

Strongly interacting quantum systems described by non-stoquastic Hamiltonians exhibit rich low-temperature physics. Yet, their study poses a formidable challenge, even for state-of-the-art numerical techniques. Here, we investigate…

Computational Physics · Physics 2021-06-18 Marin Bukov , Markus Schmitt , Maxime Dupont

The two-dimensional Hubbard model at finite doping hosts competing or intertwined orders, resulting in conflicting conclusions from different computational approaches regarding its ground state. We show that a key source of such…

Strongly Correlated Electrons · Physics 2026-04-27 Luciano Loris Viteritti , Riccardo Rende , Christopher Roth , Anirvan Sengupta , Giuseppe Carleo , Antoine Georges

We construct a variational wave function to study whether a fully polarized Fermi sea is energetically stable against a single spin flip. Our variational wave function contains sufficient short-range correlation at least to the same level…

Quantum Gases · Physics 2010-04-15 Xiaoling Cui , Hui Zhai

The study of SU(N) quantum spin models is relevant to a variety of physical systems including ultracold atoms in optical lattices, and also leads to insights into novel quantum phases and phase transitions of SU(2) spin models. We use…

Strongly Correlated Electrons · Physics 2009-11-11 Arun Paramekanti , J. B. Marston

We present a new variational method for investigating the ground state and out of equilibrium dynamics of quantum many-body bosonic and fermionic systems. Our approach is based on constructing variational wavefunctions which extend Gaussian…

Quantum Physics · Physics 2018-03-14 Tao Shi , Eugene Demler , J. Ignacio Cirac

A multi-reference configuration mixing scheme is used to describe the ground state, characterized by well defined spin and space group symmetry quantum numbers as well as doping fractions $N_{e}/N_{sites}$, of one dimensional Hubbard…

Strongly Correlated Electrons · Physics 2015-06-18 R. Rodríguez-Guzmán , Carlos A. Jiménez-Hoyos , Gustavo E. Scuseria

We investigate the spin-1/2 Heisenberg model on a rectangular lattice, using the Gutzwiller projected variational wave function known as the staggered flux state. Using Monte Carlo techniques, the variational parameters and static…

Strongly Correlated Electrons · Physics 2021-01-04 N. E. Shaik , B. Dalla Piazza , D. A. Ivanov , H. M. Rønnow

We introduce a new type of Gutzwiller variational wavefunction for correlated electrons coupled to phonons, able to treat on equal footing electronic and lattice degrees of freedom. We benchmark the wavefunction in the infinite-$U$…

Strongly Correlated Electrons · Physics 2007-07-24 P. Barone , R. Raimondi , M. Capone , C. Castellani , M. Fabrizio

We propose the use of an orthogonal wave packet basis to analyze the low-energy physics of interacting electron systems with short range order. We give an introduction to wave packets and the related phase space representation of fermion…

Strongly Correlated Electrons · Physics 2013-05-14 M. Ossadnik

We propose a density functional to find the ground state energy and density of interacting particles, where both the density and the pair density can adjust in the presence of an inhomogeneous potential. As a proof of principle we formulate…

Strongly Correlated Electrons · Physics 2015-06-11 J. Lorenzana , Z. -J. Ying , V. Brosco

Magnetization process of the Gutzwiller wave function is studied accurately by a variational Monte Carlo method. We apply it to the one-dimensional (1D) and 2D Hubbard models (HM), and to the 1D periodic Anderson model (PAM) without orbital…

Condensed Matter · Physics 2007-05-23 Hisatoshi Yokoyma , Shinya Tokizaki

We introduce a systematically improvable family of variational wave functions for the simulation of strongly correlated fermionic systems. This family consists of Slater determinants in an augmented Hilbert space involving "hidden"…

Strongly Correlated Electrons · Physics 2022-08-18 Javier Robledo Moreno , Giuseppe Carleo , Antoine Georges , James Stokes