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We discuss electronic properties and their evolution for the linear chain of $H_2$ molecules in the presence of a uniform external force $f$ acting along the chain. The system is described by an extended Hubbard model within a fully…

Materials Science · Physics 2018-08-15 Andrzej Biborski , Andrzej P. Kądzielawa , Józef Spałek

We have studied the spin-polarized three-dimensional homogeneous electron gas using the diffusion quantum Monte Carlo method, with trial wave functions including backflow and three-body correlations in the Jastrow factor, and we have used…

Strongly Correlated Electrons · Physics 2013-08-28 G G Spink , R J Needs , N D Drummond

We develop a variational Monte Carlo (VMC) method for electron-phonon coupled systems. The VMC method has been extensively used for investigating strongly correlated electrons over the last decades. However, its applications to…

Strongly Correlated Electrons · Physics 2014-06-02 Takahiro Ohgoe , Masatoshi Imada

We calculate the linear and non-linear susceptibilities of periodic longitudinal chains of hydrogen dimers with different bond-length alternations using a diffusion quantum Monte Carlo approach. These quantities are derived from the changes…

Chemical Physics · Physics 2015-05-14 Paolo Umari , Nicola Marzari

We present a quantum Monte Carlo study of the hydrogen-benzene system where binding is very weak. We demonstrate that the binding is well described at both variational Monte Carlo (VMC) and diffusion Monte Carlo (DMC) levels by a Jastrow…

Materials Science · Physics 2009-11-13 Todd D. Beaudet , Michele Casula , Jeongnim Kim , Sandro Sorella , Richard M. Martin

The study of the high pressure phase diagram of hydrogen has continued with renewed effort for about one century as it remains a fundamental challenge for experimental and theoretical techniques. Here we employ an efficient molecular…

Chemical Physics · Physics 2014-04-23 Guglielmo Mazzola , Seiji Yunoki , Sandro Sorella

We report an extensive theoretical study of the protonated water dimer (Zundel ion) by means of the highly correlated variational Monte Carlo and lattice regularized Monte Carlo approaches. This system represents the simplest model for…

Chemical Physics · Physics 2013-12-11 Mario Dagrada , Michele Casula , Antonino M. Saitta , Sandro Sorella , Francesco Mauri

The strongly coupled electron liquid provides a unique opportunity to study the complex interplay of strong coupling with quantum degeneracy effects and thermal excitations. To this end, we carry out extensive \textit{ab initio} path…

Computational Physics · Physics 2020-02-05 Tobias Dornheim , Travis Sjostrom , Shigenori Tanaka , Jan Vorberger

The properties of hydrogen under extreme conditions are important for many applications, including inertial confinement fusion and astrophysical models. A key quantity is given by the electronic density response to an external perturbation,…

Computational Physics · Physics 2022-08-17 Maximilian Böhme , Zhandos Moldabekov , Jan Vorberger , Tobias Dornheim

Compact and accurate wave functions can be constructed by quantum Monte Carlo methods. Typically, these wave functions consist of a sum of a small number of Slater determinants multiplied by a Jastrow factor. In this paper we study the…

Condensed Matter · Physics 2009-10-30 Chien-Jung Huang , C. J. Umrigar , M. P. Nightingale

Recently, a diffusion Monte Carlo algorithm was applied to the study of spin dependent interactions in condensed matter. Following some of the ideas presented therein, and applied to a Hamiltonian containing a Rashba-like interaction, a…

Strongly Correlated Electrons · Physics 2015-05-27 Alberto Ambrosetti , Pier Luigi Silvestrelli , Flavio Toigo , Lubos Mitas , Francesco Pederiva

We present a low-scaling diagrammatic Monte Carlo approach to molecular correlation energies. Using combinatorial graph theory to encode many-body Hugenholtz diagrams, we sample the M{\o}ller-Plesset (MPn) perturbation series, obtaining…

Strongly Correlated Electrons · Physics 2023-07-26 G. Bighin , Q. P. Ho , M. Lemeshko , T. V. Tscherbul

Path integral Monte Carlo approach is used to study the coupled quantum dynamics of the electron and nuclei in hydrogen molecule ion. The coupling effects are demonstrated by comparing differences in adiabatic Born--Oppenheimer and…

Chemical Physics · Physics 2008-12-29 I. Kylänpää , M. Leino , T. T. Rantala

A first-order liquid-liquid phase transition in high-pressure hydrogen between molecular and atomic fluid phases has been predicted in computer simulations using ab initio molecular dynamics approaches. However, experiments indicate that…

Statistical Mechanics · Physics 2007-05-23 Kris T. Delaney , Carlo Pierleoni , D. M. Ceperley

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…

Chemical Physics · Physics 2014-06-18 Andrea Zen , Emanuele Coccia , Ye Luo , Sandro Sorella , Leonardo Guidoni

State-of-the-art many-body wave function techniques rely on heuristics to achieve high accuracy at an attainable cost to solve the many-body Schr\"odinger equation. By far the most common property used to assess accuracy has been the total…

Chemical Physics · Physics 2022-11-30 Shunyue Yuan , Yueqing Chang , Lucas K. Wagner

A one-dimensional model of electrons locally coupled to spin-1/2 degrees of freedom is studied by numerical techniques. The model is one in the class of $dynamic$ $Hubbard$ $models$ that describe the relaxation of an atomic orbital upon…

Strongly Correlated Electrons · Physics 2009-11-07 J. E. Hirsch

We present a Jastrow-factor-inspired variant of coupled cluster theory that accurately describes both weak and strong electron correlation. Compatibility with quantum Monte Carlo allows for variational energy evaluations and an…

Strongly Correlated Electrons · Physics 2013-12-24 Eric Neuscamman

We report results of a Monte Carlo simulation of the $\phi^4$ quantum chain. In order to enhance the efficiency of the simulation we combine multigrid simulation techniques with a refined discretization scheme. The resulting accuracy of our…

Condensed Matter · Physics 2015-06-25 Wolfhard Janke , Tilman Sauer

Describing correlated electron systems near phase transitions has been a major challenge in computational condensed-matter physics. In this paper, we apply highly accurate fixed node quantum Monte Carlo techniques, which directly work with…

Strongly Correlated Electrons · Physics 2018-01-10 Li Chen , Lucas K. Wagner
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