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Electron-phonon interactions using the projector augmented-wave method and Wannier functions

机译:使用投影仪增强波方法和Wannier函数的电子 - 声子相互作用

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摘要

We present an ab initio density-i'unctional-theory approach for calculating electron-phonon interactions within the projector augmented-wave (PAW) method. The required electron-phonon matrix elements are defined as the second derivative of the one-electron energies in the PAW method. As the PAW method leads to a generalized eigenvalue problem, the resulting electron-phonon matrix elements lack some symmetries that are usually present for simple eigenvalue problems and all-electron formulations. We discuss the relation between our definition of the electron-phonon matrix element and other formulations. To allow for efficient evaluation of physical properties, we introduce a Wannier-interpolation scheme, again adapted to generalized eigenvalue problems. To explore the method's numerical characteristics, the temperature-dependent band-gap renormalization of diamond is calculated and compared with previous publications. Furthermore, we apply the method to selected binary compounds and show that the obtained zero-point renormalizations agree well with other values found in literature and experiments.
机译:我们介绍了用于计算投影仪增强波(PAW)方法内的电子声子相互作用的AB初始密度-I'Itmuntion-理论方法。所需的电子 - 声子矩阵元件被定义为PAW方法中的单电子能量的第二导数。随着PAW方法导致广义特征值问题,所得到的电子 - 声子矩阵元件缺乏一些对称的对称,通常存在于简单的特征值问题和全电子制剂。我们讨论了我们对电子 - 声子矩阵元件和其他配方的定义之间的关系。为了允许有效地评估物理性质,我们介绍了一个Wannier - 插值方案,再次适应普遍的特征值问题。为了探索该方法的数值特征,计算和与先前的出版物进行钻石的温度依赖带间隙重整化。此外,我们将该方法应用于选择的二元化合物,并表明获得的零点重整化与文献和实验中发现的其他值吻合良好。

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  • 来源
    《Physical review》 |2020年第18期|184302.1-184302.15|共15页
  • 作者单位

    University of Vienna Faculty of Physics and Center for Computational Materials Science Sensengasse 8 A -1090 Vienna Austria;

    University of Vienna Faculty of Physics and Center for Computational Materials Science Sensengasse 8 A -1090 Vienna Austria;

    University of Vienna Faculty of Physics and Center for Computational Materials Science Sensengasse 8 A -1090 Vienna Austria;

    University of Vienna Faculty of Physics and Center for Computational Materials Science Sensengasse 8 A -1090 Vienna Austria;

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