Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Transport in chaotic quantum dots : Effects of spatial symmetries which interchange the leads.
AU - Gopar, Victor A.
AU - Rotter, Stefan
AU - Schomerus, Henning
PY - 2006/4/10
Y1 - 2006/4/10
N2 - 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 independent 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.
AB - 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 independent 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.
U2 - 10.1103/PhysRevB.73.165308
DO - 10.1103/PhysRevB.73.165308
M3 - Journal article
VL - 73
SP - 165308
JO - Physical review B
JF - Physical review B
SN - 1550-235X
IS - 16
ER -