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A finite element configuration interaction method for Wigner localization

delete2023-09-01
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Q
Quan Xue
H
Huajie Chen *
DOI:10.1016/j.jcp.2023.112251delete
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Abstract

Abstract

En 中文
The Wigner localization is an electron phase at low densities when the electrons are sharply localized around equilibrium positions. The simulation of the Wigner localization phenomenon requires careful treatment of the many-body correlations, as the electronelectron interaction dominates the system. This work proposes a numerical algorithm to study the electron ground states of the Wigner localized systems. The main features of our algorithm are three-fold: (i) a finite element discretization of the one-body space such that the sharp localization can be captured; (ii) a good initial state obtained by exploiting the strongly correlated limit; and (iii) a selected configuration interaction method by choosing the Slater determinants from (stochastic) gradients. Numerical experiments for some typical low-dimensional systems are provided to show the efficiency of our algorithm.& COPY; 2023 Elsevier Inc. All rights reserved.
Keywords:
Wigner localization
Configuration interaction
Finite elements
Strong correlation
Selected CI
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Journal

Journal of Computational Physics cover
Journal of Computational Physics
IF:
3.8
Papers:
1.5W
Citations:
7.4W

Organization

B
Beijing Normal University
Scholars:
3.3W
Papers: 2.7W
Citations: 4.2W