 
Summary: Scaling approach to electronelectron 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 lowenergy physics of electronelectron 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 electronelectron 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 singleparticle 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
