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Quantum scattering in the strip: From ballistic to localized regimes

机译:带中的量子散射:从弹道到局部状态

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摘要

Quantum scattering is studied in a system consisting of randomly distributed point scatterers in the strip. The model is continuous yet exactly solvable. Varying the number of scatterers (the sample length) we investigate a transition between the ballistic and the localized regimes. By considering the cylinder geometry and introducing the magnetic flux we are able to study time reversal symmetry breaking in the system. Both macroscopic (conductance) and microscopic (eigenphases distribution, statistics of S-matrix elements) characteristics of the system are examined.
机译:在带中由随机分布的点散射体组成的系统中研究了量子散射。该模型是连续的,但可以完全求解。改变散射体的数量(样本长度),我们研究了弹道与局部状态之间的过渡。通过考虑圆柱体的几何形状并引入磁通量,我们能够研究系统中时间反转对称性的破坏。同时检查了系统的宏观(电导)和微观(本征相分布,S矩阵元素的统计)特征。

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