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Local density of states in disordered two-dimensional electron gases at high magnetic field

机译：高磁场下二维电子气中无序状态的局部密度

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摘要

Motivated by high-accuracy scanning tunneling spectroscopy measurements on disordered two-dimensional electron gases in strong magnetic field, we present an expression for the local density of states (LDoS) of electrons moving in a smooth arbitrary potential landscape on the scale of the magnetic length, that can be locally described up to its second derivatives. We use a technique based on coherent-state Green's functions, allowing us to treat on an equal footing confining and open quantum systems. The energy dependence of the LDoS is found to be universal in terms of local geometric properties, such as drift velocity and potential curvature. We also show that thermal effects are quite important close to saddle points, leading to an over-broadening of the tunneling trajectories.
机译：通过在强磁场中对无序二维电子气进行高精度扫描隧道光谱测量的动机，我们给出了在磁长度范围内以光滑任意势态运动的电子的局部态密度（LDoS）的表达式。 ，最多可以在本地描述其二阶导数。我们使用基于相干态格林函数的技术，使我们能够平等对待局限封闭和开放量子系统。发现LDoS的能量依赖性在局部几何特性（例如漂移速度和势能曲率）方面是通用的。我们还表明，热效应在靠近鞍点处非常重要，从而导致隧道轨迹过度展宽。

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