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Exchange and the Coulomb blockade Peak height statistics in quantum dots
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Exchange and the Coulomb blockade: Peak height statistics in quantum dots
Gonzalo Usaj and Harold U. Baranger
Department of Physics, Duke University, P.O.Box 90305, Durham North Carolina 27708-0305
(Dated: Received 29 Nov 2002)
We study the effect of the exchange interaction on the Coulomb blockade peak height statistics in chaotic
quantum dots. Because exchange reduces the level repulsion in the many body spectrum, it strongly affects
the fluctuations of the peak conductance at finite temperature. We find that including exchange substantially
improves the description of the experimental data. Moreover, it provides further evidence of the presence of
high spin states (S ≥ 1) in such systems.
PACS numbers: 73.23.Hk, 73.40.Gk, 73.63.Kv
Transport properties of quantum dots (QDs) are strongly
affected by interactions. A paradigmatic example is the
Coulomb blockade (CB) of electron tunneling.
1,2,3
It occurs
at low temperature when the thermal energy is smaller than
the charging energy (EC ) required to add an electron to the
QD. The conductance is then blockaded, being restored only
at specific values of the gate voltage Vg of a nearby gate ca-
pacitively coupled to the QD. This leads to a series of sharp
CB conductance peaks. The statistical properties of these
peaks reflect the mesoscopic fluctuations of the (many-body)
spectrum and wave-functions of the QD. In particular, they
encode information about the non-trivial spin statistics that
arises from the presence of exchange, the most important part
of the residual interaction.
3,4
Both the peak height distribution (PHD) and the peak spac-
ing distribution have been studied in detail (see Ref. 2 for a
review), though the latter has received most of the attention.
This is mainly due to the fact that early measurements
5,6
of
the PHD were found to be in good agreement with the con-
stant interaction (CI) model,
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