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A quantum dot in the fractional quantum Hall regime

โœ Scribed by Jari M. Kinaret


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
317 KB
Volume
189
Category
Article
ISSN
0921-4526

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โœฆ Synopsis


In this article we discuss conductance through a quantum dot in the fractional quantum Hall regime. We argue that in the intermediate temperature regime (F~ .~ kT ~ A) many-body coherence strongly suppresses the conductance well below the integer regime values. In particular, we find that in the u = 1/q regime the heights of conductance peaks decrease as N ~ ~ as a function of the number of electrons in the dot. At filling factor u = 1 -l/q we suggest that there are two types of peaks with different scaling behavior. In this case the decay exponents depend on the mixing between the edge branches. We use a simple electrostatic model to estimate this mixing and the corresponding decay exponents. After the pioneering work by Meirav et al. [1] a great deal of interest has focused on studying the effects of Coulomb blockade in small semiconductor structures. The physics of Coulomb


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A recent mean-field approach to the fractional quantum Hall effect (QHE) is reviewed, with a special emphasis on the application to single-electron tunneling through a quantum dot in a high magnetic field. The theory is based on the adiabatic principle of Greiter and Wilczek, which maps an incompres