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Conductance-peak height correlations for a Coulomb-blockaded quantum dot in a weak magnetic field

Summary: Conductance-peak height correlations for a Coulomb-blockaded quantum dot
in a weak magnetic field
Stephan Braig, Shaffique Adam, and Piet W. Brouwer
Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853-2501, USA
Received 12 May 2003; published 25 July 2003
We consider statistical correlations between the heights of conductance peaks corresponding to two different
levels in a Coulomb-blockaded quantum dot. Correlations exist for two peaks at the same magnetic field if the
field does not fully break time-reversal symmetry as well as for peaks at different values of a magnetic field
that fully breaks time-reversal symmetry. Our results are also relevant to Coulomb-blockade conductance peak
height statistics in the presence of weak spin-orbit coupling in a chaotic quantum dot.
DOI: 10.1103/PhysRevB.68.035323 PACS number s : 73.23.Hk, 05.60.Gg, 73.63.Kv
Measurement of conductance peak heights in a Coulomb-
blockaded quantum dot is one of few experimental tools to
access properties of single-electron wave functions in quan-
tum dots. Experimentally, the probability distribution of the
conductance peak heights in quantum dots with an irregular
shape was found to be in good agreement with predictions
from random-matrix theory RMT ,1
both without magnetic


Source: Adam, Shaffique - Condensed Matter Theory Center, University of Maryland at College Park


Collections: Physics