经典轨迹的安德森局域化
Anderson localization from classical trajectories
摘要：
我们表明，安德森局域化在准一维导体的弹道电子动力学，如通过弹道接触连接的弹道混沌腔阵列，可以理解的经典电子轨迹。在大的长度尺度上，几乎相同的经典行动的轨迹的指数增殖产生了丰富的干扰项，这最终导致传输系数的抑制。我们定量地描述了这种机制在两种不同的方式：明确描述的过渡概率的干扰轨迹，和层次集成在经典的相空间的阵列腔的波动。
英文摘要：
We show that Anderson localization in quasi-one dimensional conductors with ballistic electron dynamics, such as an array of ballistic chaotic cavities connected via ballistic contacts, can be understood in terms of classical electron trajectories only. At large length scales, an exponential proliferation of trajectories of nearly identical classical action generates an abundance of interference terms, which eventually leads to a suppression of transport coefficients. We quantitatively describe this mechanism in two different ways: the explicit description of transition probabilities in terms of interfering trajectories, and an hierarchical integration over fluctuations in the classical phase space of the array cavities.
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