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Scaling approach to electron-electron interactions in a chaotic quantum dot Shaffique Adam, Piet W. Brouwer, and Prashant Sharma
 

Summary: Scaling approach to electron-electron interactions in a chaotic quantum dot
Shaffique Adam, Piet W. Brouwer, and Prashant Sharma
Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853, USA
Received 2 September 2003; published 23 December 2003
A scaling theory is used to study the low-energy physics of electron-electron interactions in a double
quantum dot. We show that the fact that electrons are delocalized over two quantum dots does not affect the
instability criterion for the description of electron-electron interactions in terms of a ``universal interaction
Hamiltonian.''
DOI: 10.1103/PhysRevB.68.241311 PACS number s : 73.21.La, 05.45.Mt
The statistical distribution of single-particle energy levels
and wave functions in a chaotic quantum dot or disordered
metal particle is described by random matrix theory.1,2
The
validity of random matrix theory as a statistical description
of energy levels and wave functions follows from the exis-
tence of a large parameter, the dimensionless conductance g
of the metal grain or the quantum dot.3,4
The dimensionless
conductance is the ratio of the Thouless energy ET and the
mean level spacing . The same large parameter g allows

  

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

 

Collections: Physics