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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…

强关联电子 · 物理学 2007-05-23 Sandro Sorella

We simulated the 3-band Hubbard model using the Constrained Path Monte Carlo (CPMC) method in search for a possible superconducting ground state. The CPMC is a ground state method which is free of the exponential scaling of computing time…

超导电性 · 物理学 2016-08-31 M. Guerrero , J. E. Gubernatis , Shiwei Zhang

Quantum Monte Carlo (QMC) methods such as variational Monte Carlo and fixed node diffusion Monte Carlo depend heavily on the quality of the trial wave function. Although Slater-Jastrow wave functions are the most commonly used variational…

材料科学 · 物理学 2015-05-28 Bryan K. Clark , Miguel A. Morales , Jeremy McMinis , Jeongnim Kim , Gustavo E. Scuseria

The method used earlier for analysis of correlated nanoscopic systems is extended to infinite (periodic) s-band like systems described by the Hubbard model and its extensions. The optimized single-particle wave functions contained in the…

强关联电子 · 物理学 2009-02-18 Jan Kurzyk , Włodzimierz Wójcik , Jozef Spałek

Quantum Monte Carlo (QMC) is an advanced simulation methodology for studies of manybody quantum systems. In this review, we focus on the electronic structure QMC, i.e., methods relevant for systems described by the electron-ion…

其他凝聚态物理 · 物理学 2010-08-16 Michal Bajdich , Lubos Mitas

Normal states of the attractive Hubbard model, especially in two dimension, are studied in the light of a transition from a Fermi liquid to an insulating or gapped state. A series of variational Monte Carlo calculations with better…

强关联电子 · 物理学 2009-11-07 Hisatoshi Yokoyama

The two-dimensional Hubbard model is studied using the variational quantum Monte Carlo technique with Gutzwiller-type variational wave functions. In addition to the simple one-site correlated Gutzwiller wave function, we use a form with…

强关联电子 · 物理学 2007-05-23 A. Harju

Quantum Monte Carlo methods are used to study a quantum phase transition in a 1D Hubbard model with a staggered ionic potential (D). Using recently formulated methods, the electronic polarization and localization are determined directly…

强关联电子 · 物理学 2009-10-31 Tim Wilkens , Richard M. Martin

In this paper we propose an ab initio method to solve quantum many-body problems of molecular dynamics where both the electronic and the nuclear degrees are represented by ensembles of trajectories and guiding waves in physical space. Both…

原子物理 · 物理学 2025-01-28 Ivan P. Christov

We pursue the development and application of the recently-introduced linear optimization method for determining the optimal linear and nonlinear parameters of Jastrow-Slater wave functions in a variational Monte Carlo framework. In this…

计算物理 · 物理学 2008-05-02 Julien Toulouse , C. J. Umrigar

A second-order many-body perturbation correction to the relativistic Dirac-Hartree-Fock energy is evaluated stochastically by integrating 13-dimensional products of four-component spinors and Coulomb potentials. The integration in the real…

量子物理 · 物理学 2022-06-16 J. César Cruz , Jorge Garza , Takeshi Yanai , So Hirata

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…

强关联电子 · 物理学 2009-11-07 J. E. Hirsch

We propose a method to calculate the charge dynamical structure factors for the ground states of correlated electron systems based on the variational Monte Carlo method. Our benchmarks for the one- and two-dimensional Hubbard models show…

强关联电子 · 物理学 2020-02-25 Kota Ido , Masatoshi Imada , Takahiro Misawa

The variational Monte Carlo method is used to find the ground state of six quarks confined to a cavity of diameter R_c, interacting via an assumed non-relativistic constituent quark model (CQM) Hamiltonian. We use a flux-tube model…

核理论 · 物理学 2009-11-06 Mark W. Paris , Vijay R. Pandharipande

Weak H2 physisorption energies present a significant challenge to even the best correlated theoretical many-body methods. We use the phaseless auxiliary-field quantum Monte Carlo (AFQMC) method to accurately predict the binding energy of…

计算物理 · 物理学 2011-11-02 Wirawan Purwanto , Henry Krakauer , Yudistira Virgus , Shiwei Zhang

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…

凝聚态物理 · 物理学 2009-10-30 Chien-Jung Huang , C. J. Umrigar , M. P. Nightingale

Ab initio quantum Monte Carlo (QMC) is a state-of-the-art numerical approach for evaluating accurate expectation values of many-body wavefunctions. However, one of the major drawbacks that still hinders widespread QMC applications is the…

材料科学 · 物理学 2024-07-17 Kousuke Nakano , Michele Casula , Giacomo Tenti

The quantum Monte Carlo algorithm is arguably one of the most powerful computational many-body methods, enabling accurate calculation of many properties in interacting quantum systems. In the presence of the so-called sign problem, the…

强关联电子 · 物理学 2018-02-23 Chia-Chen Chang , Miguel A. Morales

We describe the computational ingredients for an approach to treat interacting fermion systems in the presence of pairing fields, based on path-integrals in the space of Hartree-Fock-Bogoliubov (HFB) wave functions. The path-integrals can…

强关联电子 · 物理学 2017-01-30 Hao Shi , Shiwei Zhang

Quantum Monte Carlo (QMC) methods can very accurately compute ground state properties of quantum systems. We applied these methods to a system of boson hard spheres to get exact, infinite system size results for the ground state at several…

计算物理 · 物理学 2016-09-08 Mark Dewing