电子的跳跃和蛇形轨道：奇点和灾变
Skipping and snake orbits of electrons: singularities and catastrophes
摘要：
在样品边缘附近，或一个尖锐的磁场台阶，二维电子在磁场中的漂移具有跳跃/蛇形轨道的形式。我们表明，家庭跳跃/蛇轨道的电子注入在一个点内的二维金属一般表现出焦散折叠，尖点和尖点三重态，并在一个极端的情况下，一节的batteries分叉。在多终端电子器件中，沿$\pm B$ -界面周期性出现的奇异点会导致非局域电导的磁振荡。
英文摘要：
Near the sample edge, or a sharp magnetic field step the drift of two-dimensional electrons in a magnetic field has the form of skipping/snake orbits. We show that families of skipping/snake orbits of electrons injected at one point inside a 2D metal generically exhibit caustics folds, cusps and cusp triplets, and, in one extreme case, a section of the batterfly bifurcation. Periodic appearance of singularities along the $\pm B$-interface leads to the magneto-oscillations of nonlocal conductance in multi-terminal electronic devices.
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