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On the visibility of electron-electron interaction effects in field emission spectra

机译：场发射光谱中电子-电子相互作用效应的可见性

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摘要

One of the most convenient methods to obtain information about the energy distribution function of electrons in conducting materials is the measurement of the energy resolved current j(ω) in field emission (FE) experiments. Its high energy tail j > (ω) (above the Fermi edge) contains invaluable information about the nature of the electron-electron interactions inside the emitter. Thus far, j > (ω) has been calculated to second order in the tunnelling probability, and it turns out to be divergent toward the Fermi edge for a wide variety of emitters. The extraction of the correlation properties from real experiments can potentially be obscured by the eventually more divergent contributions of higher orders as well as by thermal smearing around E_F. We present an analysis of both factors and make predictions for the energy window where only the second order tunnelling events dominate the behaviour of j > (ω). We apply our results to the FE from Luttinger liquids and single-wall carbon nanotubes.
机译：获得有关导电材料中电子能量分布函数信息的最便捷方法之一是在场发射（FE）实验中测量能量分辨电流j（ω）。其高能尾j>（ω）（在费米边上方）包含有关发射极内部电子与电子相互作用性质的宝贵信息。到目前为止，j>（ω）已以隧穿概率计算为二阶，对于各种各样的发射器而言，它都朝着费米边缘发散。实际实验中相关属性的提取可能会因更高阶的最终更加分散的贡献以及E_F周围的热拖尾而被掩盖。我们对这两个因素进行了分析，并对能量窗口进行了预测，其中只有二阶隧穿事件主导了j>（ω）的行为。我们将我们的结果应用于Luttinger液体和单壁碳纳米管的FE。

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