Computation of the high temperature Coulomb density matrix in periodic boundary conditions

被引:27
作者
Militzer, B. [1 ,2 ]
机构
[1] Univ Calif Berkeley, Dept Earth & Planetary Sci, Berkeley, CA 94720 USA
[2] Univ Calif Berkeley, Dept Astron, Berkeley, CA 94720 USA
关键词
Path integral Monte Carlo; Many-body simulations; PATH-INTEGRALS; HYDROGEN; HELIUM; SIMULATIONS; PLASMA;
D O I
10.1016/j.cpc.2016.03.011
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
The high temperature many-body density matrix is fundamental to path integral computation. The pair approximation, where the interaction part is written as a product of pair density matrices, is commonly used and is accurate to order tau(2), where tau is the step size in the imaginary time. Here we present a method for systems with Coulomb interactions in periodic boundary conditions that consistently treats the all interactions with the same level of accuracy. It is shown that this leads to a more accurate high temperature solution of the Bloch equation. The method is applied to many-body simulation and tests for the isolated hydrogen atom and molecule are presented. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码:88 / 96
页数:9
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