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首页> 外文期刊>Physical review >Wave transport in one-dimensional disordered systems with finite-size scatterers
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Wave transport in one-dimensional disordered systems with finite-size scatterers

机译：具有有限尺寸散射体的一维无序系统中的波传输

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We study the problem of wave transport in a one-dimensional disordered system, where the scatterers of the chain are n barriers and wells with statistically independent intensities and with a spatial extension l_c which may contain an arbitrary number δ/2π of wavelengths, where δ =kl_c. We analyze the average Landauer resistance and transmission coefficient of the chain as a function of n and the phase parameter δ. For weak scatterers, we find: (ⅰ) a regime, to be called Ⅰ, associated with an exponential behavior of the resistance with n; (ⅱ) a regime, to be called Ⅱ, for ＜5 in the vicinity of π, where the system is almost transparent and less localized; and (ⅲ) right in the middle of regime Ⅱ, for δ very close to π, the formation of a band gap, which becomes ever more conspicuous as n increases. In regime Ⅱ, both the average Landauer resistance and the transmission coefficient show an oscillatory behavior with n and δ. These characteristics of the system are found analytically, some of them exactly and some others approximately. The agreement between theory and simulations is excellent, which suggests a strong motivation for the experimental study of these systems. We also present a qualitative discussion of the results.
机译：我们研究一维无序系统中的波传输问题，其中链的散射体是n个势垒和具有统计独立强度的阱，并且阱的空间扩展l_c可能包含任意数量的δ/2π波长，其中δ = kl_c。我们分析了链的平均Landauer电阻和传输系数与n和相位参数δ的关系。对于弱散射体，我们发现：（ⅰ）一种称为Ⅰ的状态，它与电阻为n的指数行为有关； （ⅱ）一种在π附近＜5的体制，称为Ⅱ，该体制几乎是透明的，局部性较弱； （ⅲ）在Ⅱ区的中间，当δ非常接近π时，带隙的形成随着n的增加而变得更加明显。在状态Ⅱ下，平均兰道尔电阻和透射系数都显示出具有n和δ的振荡行为。通过分析可以找到系统的这些特征，其中一些精确，而另一些近似。理论与仿真之间的一致性非常好，这表明对这些系统进行实验研究的强烈动机。我们还对结果进行了定性讨论。

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