固体对经典和量子射弹阻止本领的介电理论中的多体相互作用
Many-body interactions in the dielectric theory of stopping power of solids for classical and quantum projectiles
AI总结:
研究固体对经典和量子射弹阻止本领的介电理论中的多体相互作用,通过纳入交换与关联核$f_{xc}(\qv,\omega)$,发现其在晶体中电荷减速作用更显著,低速时能改善理论与实验比较,高速时作用可忽略。
AI中文摘要:
我们通过在晶体对移动电荷阻止本领的介电理论框架中纳入波矢和频率相关的交换与关联(xc)核$f_{xc}(\qv,\omega)$来考虑多体动态相互作用。研究了经典和量子射弹的情况。发现:(I)xc效应在晶体固体中电荷减速的作用比在凝胶模型中更显著;(II)在低于阻止本领最大值的速度下,纳入xc能在一系列固体靶材范围内改善理论与实验的比较。另一方面,在高速 regime 中,动态xc的作用可忽略不计,这与实验不矛盾,且在靶材的凝胶模型中得到了分析证实。我们理论的输入是随机相位近似下的微观介电矩阵$\epsilon_{\Gv \Gv'}(\qv,\omega)$(即忽略$f_{xc}$),其计算在现有的固态代码中实现。
英文摘要:
We take account of the many-body dynamic interactions by including the wave-vector and frequency-dependent exchange and correlations (xc) kernel $f_{xc}(\qv,ω)$ in the framework of the dielectric theory of the stopping power of crystals for moving charges. The cases of classical and quantum projectiles are considered. We find that (I) the role of the xc effects in slowing of charges in crystalline solids is more pronounced than it is within the jellium model and (II) For velocities below the stopping maximum, inclusion of xc leads to the improvement of the comparison of the theory with experiment over a range of solid targets. On the other hand, in the high-velocity regime, the role of the dynamic xc proves negligible, which does not contradict experiment, and which we substantiate analytically within the jellium model of the target. The input to our theory is the microscopic dielectric matrix $ε_{\Gv \Gv'}(\qv,ω)$ within the random phase approximation (i.e., with neglect of $f_{xc}$), the calculation of which matrix is implemented in the existing solid-state codes.