Noise and the full counting statistics of a Coulomb blockaded quantum dot

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http://eprints.org/relation/isVolatileVersionOf http://etheses.bham.ac.uk/id/document/3602 http://eprints.org/relation/ispreviewThumbnailVersionOf http://etheses.bham.ac.uk/id/document/3602 http://eprints.org/relation/isVersionOf http://etheses.bham.ac.uk/id/document/3602 archive 4031 disk0/00/00/15/43 2011-05-09 11:11:52 2019-01-18 12:21:20 2011-07-19 16:38:05 thesis show 0 Phoenix Thomas Lerner Igor V. Yurkevich Igor University of Birmingham Noise and the full counting statistics of a Coulomb blockaded quantum dot unpub Q1 QC 10col_ephy In this thesis, we consider the noise properties of a Coulomb blockaded quantum dot weakly coupled to two non interacting leads. We consider two approaches to calculating the density of states of the quantum dot, the first of which uses a functional integral approach which is difficult to extend to consider the noise problem. We show that the second approach also returns the correct result for the density of states and can be extended to calculate the noise power spectrum for the interacting quantum dot. We calculate the Fano factor in the shot noise regime and evaluate numerically the Fano factor as a function of the bias voltage. 2011-06 2010-09 graduation eng author unchecked This unpublished thesis/dissertation is copyright of the author and/or third parties. The intellectual property rights of the author or third parties in respect of this work are as defined by The Copyright Designs and Patents Act 1988 or as modified by any successor legislation. Any use made of information contained in this thesis/dissertation must be in accordance with that legislation and must be properly acknowledged. Further distribution or reproduction in any format is prohibited without the permission of the copyright holder. public 127 University of Birmingham School of Physics and Astronomy d_ph FALSE na 2011-06 graduation