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The combination of density functional theory (DFT) with a multiconfigurational wave function is an efficient way to include dynamical correlation in calculations with multiconfiguration self-consistent field wave functions. These methods…

化学物理 · 物理学 2018-02-14 Geng Dong , Ulf Ryde , Hans Jørgen Aa. Jensen , Erik D. Hedegård

A new approach is proposed to assess the reliability of the truncated wavefunction methods by estimating the deviation from the full configuration interaction (FCI) wavefunction. While typical multireference diagnostics compare some derived…

We present the theory of a density matrix renormalization group (DMRG) algorithm which can solve for both the ground and excited states of non-Hermitian transcorrelated Hamiltonians, and show applications in \emph{ab initio} molecular…

We propose a new approach to implement the density matrix renormalization group (DMRG) in two dimensions. With this approach the initial blocks of a L by L lattice are built up directly from the matrix elements of a (L-1) by L-1) lattice…

强关联电子 · 物理学 2009-11-07 Tao Xiang , Jizhong Lou , Zhaobin Su

We develop a variant of the density matrix renormalization group (DMRG) algorithm for two-dimensional cylinders that uses a real space representation along the cylinder and a momentum space representation in the perpendicular direction. The…

强关联电子 · 物理学 2016-04-25 Johannes Motruk , Michael P. Zaletel , Roger S. K. Mong , Frank Pollmann

We introduce the Nuclear Electronic All-Particle Density Matrix Renormalization Group (NEAP-DMRG) method for solving the time-independent Schr\"odinger equation simultaneously for electrons and other quantum species. In contrast to already…

化学物理 · 物理学 2020-05-29 Andrea Muolo , Alberto Baiardi , Robin Feldmann , Markus Reiher

We propose a density matrix renormalization group (DMRG) technique at finite temperatures. As is the case of the ground state DMRG, we use a single-target state that is calculated by making use of a regulated polynomial expansion. Both…

强关联电子 · 物理学 2009-03-09 Shigetoshi Sota , Takami Tohyama

We present an accurate local density-functional for electronic-structure calculations within the density functional theory (DFT). The functional is derived by analyzing the structure of the standard perturbative expansion of the correlation…

材料科学 · 物理学 2024-11-28 Mario Benites , Angel Rosado , Efstratios Manousakis

We present a high-accuracy procedure for electronic structure calculations of strongly correlated materials. To address limitations in current electronic structure methods, we employ density functional theory in combination with the…

In these lecture notes, we present a pedagogical review of a number of related {\it numerically exact} approaches to quantum many-body problems. In particular, we focus on methods based on the exact diagonalization of the Hamiltonian matrix…

强关联电子 · 物理学 2007-05-23 Reinhard M. Noack , Salvatore R. Manmana

We use the recently-developed Heat-bath Configuration Interaction (HCI) algorithm as an efficient active-space solver to perform multi-configuration self-consistent field calculations (HCISCF) with large active spaces. We give a detailed…

化学物理 · 物理学 2018-11-08 James E. T. Smith , Adam A. Holmes , Bastien Mussard , Sandeep Sharma

Recently, a new distributed implementation of the full configuration interaction (FCI) method has been reported [Gao et al. J. Chem Theory Comput. 2024, 20, 1185]. Thanks to a hybrid parallelization scheme, the authors were able to compute…

The density matrix renormalization group (DMRG) is a powerful method to treat static correlation. Here we present an inexpensive way to add additional dynamic correlation energy to a DMRG self-consistent field (DMRG) wave function using…

化学物理 · 物理学 2018-08-21 Prachi Sharma , Varinia Bernales , Stefan Knecht , Donald G. Truhlar , Laura Gagliardi

This work approximates high-dimensional density functions with an ANOVA-like sparse structure by the mixture of wrapped Gaussian and von Mises distributions. When the dimension $d$ is very large, it is complex and impossible to train the…

统计方法学 · 统计学 2022-03-30 Fatima Antarou Ba

A new ATSP2K module is presented for evaluating the electron density function of any multiconfiguration Hartree-Fock or configuration interaction wave function in the non relativistic or relativistic Breit-Pauli approximation. It is first…

原子物理 · 物理学 2015-05-13 A. Borgoo , O. Scharf , G. Gaigalas , M. Godefroid

Analytic gradient routines are a desirable feature for quantum mechanical methods, allowing for efficient determination of equilibrium and transition state structures and several other molecular properties. In this work, we present…

Variational approaches for the calculation of vibrational wave functions and energies are a natural route to obtain highly accurate results with controllable errors. However, the unfavorable scaling and the resulting high computational cost…

化学物理 · 物理学 2017-08-14 Alberto Baiardi , Christopher J. Stein , Vincenzo Barone , Markus Reiher

We discuss a few simple modifications to time-dependent density matrix renormalization group (DMRG) algorithms which allow to access larger time scales. We specifically aim at beginners and present practical aspects of how to implement…

强关联电子 · 物理学 2016-12-14 D. M. Kennes , C. Karrasch

Given a Hamiltonian with a continuous symmetry one can generally factorize that symmetry and consider the dynamics on invariant Hilbert Spaces. In Statistical Mechanics this procedure is known as the vertex-IRF map, and in certain cases,…

统计力学 · 物理学 2009-10-28 G. Sierra , T. Nishino

The recently developed semistochastic heat-bath configuration interaction (SHCI) method is a systematically improvable selected configuration interaction plus perturbation theory method capable of giving essentially exact energies for…

化学物理 · 物理学 2020-10-01 Yuan Yao , Emmanuel Giner , Junhao Li , Julien Toulouse , C. J. Umrigar