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Elastic constants of hcp ~4He: Path-integral Monte Carlo results versus experiment

机译:hcp〜4He的弹性常数:路径积分蒙特卡罗结果与实验

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摘要

The elastic constants of hep ~4He are computed using the path-integral Monte Carlo (PIMC) method. The stiffness coefficients are obtained by imposing different distortions to a periodic cell containing 180 atoms, followed by measurement of the elements of the corresponding stress tensor. For this purpose an appropriate path-integral expression for the stress tensor observable is derived and implemented into the PIMC++ package. In addition to allowing the determination of the elastic stiffness constants, this development also opens the way to an explicit atomistic determination of the Peierls stress for dislocation motion using the PIMC technique. A comparison of the results to available experimental data shows an overall good agreement of the density dependence of the elastic constants, with the single exception of C_(13). Additional calculations for the bcc phase, on the other hand, show good agreement for all elastic constants.
机译:使用路径积分蒙特卡罗(PIMC)方法计算hep〜4He的弹性常数。通过对包含180个原子的周期性晶胞施加不同的变形,然后测量相应应力张量的元素,可以得到刚度系数。为此,派生了可观察到的应力张量的适当路径积分表达式,并将其实现到PIMC ++程序包中。除了允许确定弹性刚度常数外,这一进展还为使用PIMC技术对位错运动的Peierls应力进行显式原子确定开辟了道路。将结果与可用的实验数据进行比较,结果表明,除了C_(13)例外,弹性常数的密度依赖性总体良好。另一方面,对于bcc相的其他计算表明,所有弹性常数都具有良好的一致性。

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  • 来源
    《Physical review》 |2011年第9期|p.094119.1-094119.6|共6页
  • 作者单位

    Instituto de Fisica Gleb Wataghin, Universidade Estadual de Campinas, UNICAMP, 13083-859, Campinas, Sao Paulo, Brazil;

    Instituto de Fisica Gleb Wataghin, Universidade Estadual de Campinas, UNICAMP, 13083-859, Campinas, Sao Paulo, Brazil;

    Instituto de Fisica Gleb Wataghin, Universidade Estadual de Campinas, UNICAMP, 13083-859, Campinas, Sao Paulo, Brazil;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    quantum monte carlo methods;

    机译:量子蒙特卡洛方法;

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