Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2002-05-14
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
7 pages, 4 figures
Scientific paper
10.1103/PhysRevB.66.155316
The conductance through open quantum dots or quantum billiards shows fluctuations, that can be explained as interference between waves following different paths between the leads of the billiard. We examine such systems by the use of a semi-classical Green's functions. In this paper we examine how the choice of boundary conditions at the lead mouths affect the diffraction. We derive a new formula for the S-matrix element. Finally we compare semi-classical simulations to quantum mechanical ones, and show that this new formula yield superior results.
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