磁星中的电子屏蔽和阻尼
Electronic screening and damping in magnetars
摘要：
我们计算了屏蔽的离子离子电位由于电子在一个大的背景磁场的存在下，在相关的中子星地壳的密度。使用标准的方法，将电子屏蔽通过一个循环的极化功能，我们表明，磁场产生重要的修正，无论是在短距离和长距离。在被称为磁星的高度磁化的中子星中实现的极端磁场中，电子仅占据地壳相对低密度区域中的最低朗道能级。在这里，我们的结果表明，离子之间的库仑相互作用的屏蔽长度可以小于离子间的间距。更有趣的是，我们发现屏蔽是各向异性的，两个静电荷之间的屏蔽电位表现出平行于磁场的长程Friedel振荡。这种长程振荡行为可能会影响离子的晶格结构，并可能在磁星壳中产生棒状结构。我们还计算了电子极化函数的虚部，它决定了电子-空穴激发的光谱，并在阻尼晶格声子激发中起作用。我们证明，即使是适度的磁场，这种阻尼是高度各向异性的，将可能导致各向异性的声子热输运外中子星地壳。
英文摘要：
We calculate the screening of the ion-ion potential due to electrons in the presence of a large background magnetic field, at densities of relevance to neutron star crusts. Using the standard approach to incorporate electron screening through the one-loop polarization function, we show that the magnetic field produces important corrections both at short and long distances. In extreme fields, realized in highly magnetized neutron stars called magnetars, electrons occupy only the lowest Landau levels in the relatively low density region of the crust. Here our results show that the screening length for Coulomb interactions between ions can be smaller than the inter-ion spacing. More interestingly, we find that the screening is anisotropic and the screened potential between two static charges exhibits long range Friedel oscillations parallel to the magnetic field. This long-range oscillatory behavior is likely to affect the lattice structure of ions, and can possibly create rod-like structures in the magnetar crusts. We also calculate the imaginary part of the electron polarization function which determines the spectrum of electron-hole excitations and plays a role in damping lattice phonon excitations. We demonstrate that even for modest magnetic fields this damping is highly anisotropic and will likely lead to anisotropic phonon heat transport in the outer neutron star crust.
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