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Related papers: Quantum Monte Carlo Calculations for Carbon Nanotu…

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The d-wave pairing correlations along with spin correlation are calculated with quantum Monte Carlo method for the two-dimensional Hubbard model on lattice structures representing organic superconductors $\kappa$-(BEDT-TTF)$_2$X and…

Strongly Correlated Electrons · Physics 2009-10-31 Kazuhiko Kuroki , Hideo Aoki

We review a recent approach for the simulation of many-body interacting systems based on an efficient generalization of the Lanczos method for Quantum Monte Carlo simulations. This technique allows to perform systematic corrections to a…

Strongly Correlated Electrons · Physics 2007-05-23 Sandro Sorella

We use variational quantum Monte Carlo to calculate the density-functional exchange-correlation hole n_{xc}, the exchange-correlation energy density e_{xc}, and the total exchange-correlation energy E_{xc}, of several electron gas systems…

Materials Science · Physics 2009-10-31 Maziar Nekovee , W. M. C. Foulkes , R. J. Needs

In this work we introduce the Dual Boson Diagrammatic Monte Carlo technique for strongly interacting electronic systems. This method combines the strength of dynamical mean-filed theory for non-perturbative description of local correlations…

Strongly Correlated Electrons · Physics 2020-11-06 M. Vandelli , V. Harkov , E. A. Stepanov , J. Gukelberger , E. Kozik , A. Rubio , A. I. Lichtenstein

The auxiliary-field quantum Monte Carlo (AFQMC) method is a general numerical method for correlated many-electron systems, which is being increasingly applied in lattice models, atoms, molecules, and solids. Here we introduce the theory and…

Computational Physics · Physics 2021-02-24 Hao Shi , Shiwei Zhang

We consider the effect of various defects and boundary structures on the low energy electronic properties in conducting zigzag and armchair carbon nanotubes. The tight binding model of the conduction bands is mapped exactly onto simple…

Mesoscale and Nanoscale Physics · Physics 2010-10-20 Sebastian A. Reyes , Alexander Struck , Sebastian Eggert

We study autocorrelation times of physical observables in lattice QCD as a function of the molecular dynamics trajectory length in the hybrid Monte-Carlo algorithm. In an interval of trajectory lengths where energy and reversibility…

High Energy Physics - Lattice · Physics 2008-11-26 Harvey B. Meyer , Hubert Simma , Rainer Sommer , Michele Della Morte , Oliver Witzel , Ulli Wolff

We study a soliton in an optical lattice holding bosonic atoms quantum mechanically using both an exact numerical solution and quantum Monte Carlo simulations. The computation of the state is combined with an explicit account of the…

Quantum Physics · Physics 2009-11-13 Juha Javanainen , Uttam Shrestha

The entanglement entropy probing novel phases and phase transitions numerically via quantum Monte Carlo has made great achievements in large-scale interacting spin/boson systems. In contrast, the numerical exploration in interacting fermion…

Statistical Mechanics · Physics 2025-05-15 Weilun Jiang , Gaopei Pan , Zhe Wang , Bin-Bin Mao , Heng Shen , Zheng Yan

We present a review of the Quantum Monte Carlo results on the magnetic, charge and single-particle excitations as well as the pairing correlations of the two-dimensional Hubbard model. We are particularly interested in how these quantities…

Condensed Matter · Physics 2007-05-23 N. Bulut

By precisely writing down the matrix element of the local Boltzmann operator, we have proposed a new path integral formulation for quantum field theory and developed a corresponding Monte Carlo algorithm. With current formula, the…

Strongly Correlated Electrons · Physics 2022-03-08 J. Wang , W. Pan , D. Y. Sun

A unique feature of the hybrid quantum Monte Carlo (HQMC) method is the potential to simulate negative sign free lattice fermion models with subcubic scaling in system size. Here we will revisit the algorithm for various models. We will…

Strongly Correlated Electrons · Physics 2018-03-09 Stefan Beyl , Florian Goth , Fakher F. Assaad

We consider the effects of Coulomb interactions on single-wall carbon nanotubes using an on-site Hubbard interaction, u. For the (N,N) armchair tubes the low energy theory is shown to be identical to a 2-chain Hubbard model at half-filling,…

Strongly Correlated Electrons · Physics 2009-10-28 Leon Balents , Matthew P. A. Fisher

We give an introduction to the calculation of path integrals on a lattice, with the quantum harmonic oscillator as an example. In addition to providing an explicit computational setup and corresponding pseudocode, we pay particular…

Computational Physics · Physics 2018-04-03 Marise J. E. Westbroek , Peter R. King , Dimitri D. Vvedensky , Stephan Durr

We investigate the performance of the hybrid Monte Carlo algorithm, the standard algorithm used for lattice QCD simulations involving fermions, in updating non-trivial global topological structures. We find that the hybrid Monte Carlo…

High Energy Physics - Lattice · Physics 2016-08-15 B. Allés , G. Boyd , M. D'Elia , A. Di Giacomo , E. Vicari

We consider the problem of including $\Lambda$ hyperons into the ab initio framework of nuclear lattice effective field theory. In order to avoid large sign oscillations in Monte Carlo simulations, we make use of the fact that the number of…

Nuclear Theory · Physics 2020-11-30 Dillon Frame , Timo A. Lähde , Dean Lee , Ulf-G. Meißner

Quantum Monte Carlo methods have proven to be valuable in the study of strongly correlated quantum systems, particularly nuclear physics and cold atomic gases. Historically, such ab initio simulations have been used to study properties of…

Nuclear Theory · Physics 2012-10-26 J. Carlson , Stefano Gandolfi , Alexandros Gezerlis

We investigate the binding of single and quadruple hydrogen molecules on a positively charged Ca ion. By comparing with benchmark quantum Monte Carlo (QMC) calculations we demonstrate wide variability in other more approximate electronic…

Materials Science · Physics 2010-08-12 Michal Bajdich , Fernando A. Reboredo , P. R. C. Kent

The objective of the present paper is to investigate the proximity effect in junctions of superconductors with carbon nanotubes. The method is the lattice BdG equations within the Hubbard model. The proximity effect depends sensitively on…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 N. Stefanakis

Calculating the properties of baryon resonances from quantum chromodynamics requires evaluating the temporal correlations between hadronic operators using integrations over field configurations weighted by a phase associated with the…

High Energy Physics - Lattice · Physics 2025-10-29 Colin Morningstar