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arXiv 0705.2586cond-mat.mes-hall
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二维导体中大尺度势涨落散射的普适性

Universality in scattering by large-scale potential fluctuations in two-dimensional conductors

Vladimir I. Yudson, Dmitrii L. Maslov

摘要:

我们研究电子通过随机阵列的稀有,不透明和大(相比德布罗意波长的电子)散射体的传播。结果表明,对于任何凸散射体,输运与量子寿命之比η=τ tr/τ tot不依赖于散射体的形状,而仅取决于散射是镜面散射还是漫反射散射以及空间维数D。特别地,对于镜面散射,η是仅由系统的维数确定的普适常数:对于D = 3,η= 2;对于D = 2,η= 3/2。经典和量子散射制度之间的交叉进行了讨论。

英文摘要:

We study electron propagation through a random array of rare, opaque and large (compared the de Broglie wavelength of electrons) scatterers. It is shown that for any convex scatterer the ratio of the transport to quantum lifetimes η=τ_{tr}/τ_{tot}$ does not depend on the shape of the scatterer but only on whether scattering is specular or diffuse and on the spatial dimensionality (D). In particular, for specular scattering, ηis a universal constant determined only by the dimensionality of the system: η= 2 for D = 3 and η= 3/2 for D = 2. The crossover between classical and quantum regimes of scattering is discussed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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