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We show that a simple correlated wave function, obtained by applying a Jastrow correlation term to an Antisymmetrized Geminal Power (AGP), based upon singlet pairs between electrons, is particularly suited for describing the electronic…

其他凝聚态物理 · 物理学 2009-11-10 M. Casula , C. Attaccalite , S. Sorella

Diradical molecules are essential species involved in many organic and inorganic chemical reactions. The computational study of their electronic structure is often challenging, because a reliable description of the correlation, and in…

化学物理 · 物理学 2014-06-18 Andrea Zen , Emanuele Coccia , Ye Luo , Sandro Sorella , Leonardo Guidoni

We present a variational MonteCarlo (VMC) and lattice regularized diffusion MonteCarlo (LRDMC) study of the binding energy and dispersion curve of the water dimer. As a variation ansatz we use the JAGP wave function, an implementation of…

化学物理 · 物理学 2008-06-26 Fabio Sterpone , Leonardo Spanu , Luca Ferraro , Sandro Sorella , Leonardo Guidoni

We report a quantum Monte Carlo (QMC) study, on a very simple but nevertheless very instructive model system of four hydrogen atoms, recently proposed in Ref. 1. We find that the Jastrow correlated Antisymmetrized Geminal Power (JAGP) is…

化学物理 · 物理学 2019-05-22 Claudio Genovese , Antonella Meninno , Sandro Sorella

We study the potential energy surface of the ozone molecule by means of Quantum Monte Carlo simulations based on the resonating valence bond concept. The trial wave function consists of an antisymmetrized geminal power arranged in a…

计算物理 · 物理学 2016-08-23 Sam Azadi , Ranber Singh , Thomas D. Kühne

We introduce a simple generalization of the well known geminal wavefunction already applied in Quantum Chemistry to atoms and small molecules. The main feature of the proposed wavefunction is the presence of the antisymmetric geminal part…

凝聚态物理 · 物理学 2009-11-10 Michele Casula , Sandro Sorella

We use Monte Carlo simulations to study properties of Anderson's resonating-valence-bond (RVB) spin-liquid state on the square lattice (i.e., the equal superposition of all pairing of spins into nearest-neighbor singlet pairs) and compare…

强关联电子 · 物理学 2015-05-20 Ying Tang , Anders W. Sandvik , Christopher L. Henley

In this work, a long-range resonating valence bond state is proposed as a variational wave function for the ground state of the $S=1/2$ antiferromagnetic Heisenberg model on the honeycomb lattice. Employing Variational Monte Carlo (VMC)…

强关联电子 · 物理学 2009-05-06 Zahra Nourbakhsh , Farhad Shahbazi , S. A. Jafari , G. Baskaran

We consider the use in quantum Monte Carlo calculations of two types of valence bond wave functions based on strictly localized active orbitals, namely valence bond self-consistent-field (VBSCF) and breathing-orbital valence bond (BOVB)…

化学物理 · 物理学 2011-03-14 Benoît Braïda , Julien Toulouse , Michel Caffarel , C. J. Umrigar

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…

强关联电子 · 物理学 2007-05-23 Luca Capriotti , Federico Becca , Alberto Parola , Sandro Sorella

The one-dimensional t-J model is investigated by the variational Monte Carlo method. A variational wave function based on the Bethe ansatz solution is newly proposed, where the spin-charge separation is realized, and a long-range…

凝聚态物理 · 物理学 2009-10-28 Kenji Kobayashi , Chikaomi Ohe , Kaoru Iguchi

Although mean field theories have been very successful to predict a wide range of properties for solids, the discovery of high temperature superconductivity in cuprates supported the idea that strongly correlated materials cannot be…

强关联电子 · 物理学 2009-11-10 Michele Casula , Seiji Yunoki , Claudio Attaccalite , Sandro Sorella

We propose a new class of ground states for doped Mott insulators in the electron second-quantization representation. They are obtained from a bosonic resonating valence bond (RVB) theory of the t-J model. At half filling, the ground state…

强关联电子 · 物理学 2007-05-23 Z. Y. Weng , Y. Zhou , V. N. Muthukumar

We determine the resonating-valence-bond (RVB) state in graphene using real-space quantum Monte Carlo with correlated variational wave functions. Variational and diffusion quantum Monte Carlo (DMC) calculations with…

强关联电子 · 物理学 2026-04-22 S. Azadi , A. Principi , T. D. Kühne , M. S. Bahramy

Neural-network quantum states offer a flexible route to compact many-electron wave functions, but their practical accuracy depends strongly on how fermionic antisymmetry, electron correlation, and optimization noise are treated. Here we…

计算物理 · 物理学 2026-05-19 Jan Kessler , Thomas D. Kühne

The Resonating Valence Bond (RVB) theory for two-dimensional quantum antiferromagnets is shown to be the correct paradigm for large enough ``quantum frustration''. This scenario, proposed long time ago but never confirmed by microscopic…

强关联电子 · 物理学 2009-11-07 Luca Capriotti , Federico Becca , Alberto Parola , Sandro Sorella

Herein, we report accurate atomization energy calculations for 55 molecules in the Gaussian-2 (G2) set using lattice regularized diffusion Monte Carlo (LRDMC). We compare the Jastrow-Slater determinant ansatz with a more flexible JsAGPs…

化学物理 · 物理学 2023-04-19 Abhishek Raghav , Ryo Maezono , Kenta Hongo , Sandro Sorella , Kousuke Nakano

We study generalizations of the singlet-sector amplitude-product (AP) states in the valence-bond basis of S=1/2 quantum spin systems. In the standard AP states, the weight of a tiling of the system into valence bonds (singlets of two spins)…

强关联电子 · 物理学 2013-03-28 Yu-Cheng Lin , Ying Tang , Jie Lou , Anders W. Sandvik

The electronic properties of the oxygen molecule, in its singlet and triplet states, and of many small oxygen-containing radicals and anions have important roles in different fields of Chemistry, Biology and Atmospheric Science.…

化学物理 · 物理学 2014-07-04 Andrea Zen , Bernhardt L. Trout , Leonardo Guidoni

We develop a bivariational principle for an antisymmetric product of nonorthogonal geminals. Special cases reduce to the antisymmetric product of strongly-orthogonal geminals (APSG), the generalized valence bond-perfect pairing (GVB-PP),…

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