Semiclassical transport in nearly symmetric quantum dots. II. Symmetry breaking due to asymmetric leads.
In this work-the second of a pair of articles-we consider transport through spatially symmetric quantum dots with leads whose widths or positions do not obey the spatial symmetry. We use the semiclassical theory of transport to find the symmetry-induced contributions to weak localization corrections and universal conductance fluctuations for dots with left-right, up-down, inversion, and fourfold symmetries. We show that all these contributions are suppressed by asymmetric leads; however, they remain finite whenever leads intersect with their images under the symmetry operation. For an up-down symmetric dot, this means that the contributions can be finite even if one of the leads is completely asymmetric. We find that the suppression of the contributions to universal conductance fluctuations is the square of the suppression of contributions to weak localization. Finally, we develop a random-matrix theory model which enables us to numerically confirm these results.
Whitney
Robert S
RS
Institut Laue-Langevin, BP 156, 38042 Grenoble, France.
Schomerus
Henning
H
Kopp
Marten
M
D000465:Algorithms; D004566:Electrodes; D008280:Magnetics; D015233:Models, Statistical; D036103:Nanotechnology / Q000379:methods; D017711:Nonlinear Dynamics; D017785:Photons; D010825:Physics / Q000379:methods; D045663:Quantum Dots