On a square lattice with aperiodic hopping terms, the dynamics of an initially localized one electron wave‐packet is investigated using a Taylor formalism to solve Schrödinger dynamic equation. The calculations suggest that a fast electron propagation (ballistic mode) is detected for a range of values of aperiodicity measure ν. When inserting static electric field effects in the model, the existence of an oscillatory behavior analogously to electronic dynamics in crystalline systems is verified (i.e., Bloch oscillations). The frequency and the the size of these oscillations are analyzed and the results are compared with the standard semi‐classical approach used in crystalline lattices.

中文翻译：

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电场作用下二维非周期性系统中的电子动力学

在具有非周期跳变项的方格上，使用泰勒形式主义研究了最初局域化的一个电子波包的动力学，以求解薛定ding动力学方程。计算表明，对于非周期性测量值ν的值范围，可以检测到快速的电子传播（弹道模式）。当在模型中插入静电场效应时，类似于晶体系统中电子动力学的振荡行为的存在得到了验证（即布洛赫振荡）。分析了这些振荡的频率和大小，并将结果与​​晶格中使用的标准半经典方法进行了比较。