Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2009-06-04
Phys. Rev. E 80, 056210 (2009)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
(18pages - 9figures) This is the second of a pair of articles (v3 typos corrected - including in equations)
Scientific paper
10.1103/PhysRevE.80.056210
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 four-fold 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.
Kopp Marten
Schomerus Henning
Whitney Robert S.
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