Transport in chaotic quantum dots: effects of spatial symmetries which interchange the leads

Details Transport in chaotic quantum dots: effects of spatial symmetries which interchange the leads Transport in chaotic quantum dots: effects of spatial symmetries which interchange the leads

2005-12-16

arxiv.org/abs/cond-mat/0512415v2

Phys. Rev. B 73, 165308 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Changes in the presentation style according to PRB, references updated, and some minor corrections. 5 pages, 2 figures

Scientific paper

10.1103/PhysRevB.73.165308

We investigate the effect of spatial symmetries on phase coherent electronic transport through chaotic quantum dots. For systems which have a spatial symmetry that interchanges the source and drain leads, we find in the framework of random matrix theory that the density of the transmission eigenvalues is indepedent of the number of channels N in the leads. As a consequence, the weak localization correction to the conductance vanishes in these systems, and the shot noise suppression factor F is independent of N. We confirm this prediction by means of numerical calculations for stadium billiards with various lead geometries. These calculations also uncover transport signatures of partially preserved symmetries.

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