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

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

2007-05-17

arxiv.org/abs/0705.2586v1

Phys. Rev. B v. 75, 241408 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 3 figures, submitted to PRB

Scientific paper

10.1103/PhysRevB.75.241408

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 \eta=\tau_{tr}/\tau_{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, \eta is a universal constant determined only by the dimensionality of the system: \eta = 2 for D = 3 and \eta = 3/2 for D = 2. The crossover between classical and quantum regimes of scattering is discussed.

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