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Title of Journal: Pramana J Phys

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Abbravation: Pramana

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Springer-Verlag

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10.1002/rob

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0973-7111

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A mean field approach to Coulomb blockade for a di

Authors: Akashdeep Kamra Praveen Pathak Vijay A Singh
Publish Date: 2008/07/01
Volume: 70, Issue: 2, Pages: 279-284
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Abstract

The Coulomb blockade CB in quantum dots QDs is by now well documented It has been used to guide the fabrication of single electron transistors Even the most sophisticated techniques for synthesizing QDs eg MOCVD/MBE result in an assembly in which a certain amount of disorder is inevitable On the other hand theoretical approaches to CB limit themselves to an analysis of a single QD In the present work we consider two types of disorders i size disorder eg QDs have a distribution of sizes which could be unimodal or bimodal in nature ii Potential disorder with the confining potential assuming a variety of shapes depending on growth condition and external fields We assume a Gaussian distribution in disorder in both size and potential and employ a simplified mean field theory To do this we rely on the scaling laws for the CB also termed as Hubbard U obtained for an isolated QD 1 We analyze the distribution in the Hubbard U as a consequence of disorder and observe that Coulomb blockade is partially suppressed by the disorder Further the distribution in U is a skewed Gaussian with enhanced broadening

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