Corrections to the universal behavior of the Coulomb-blockade peak splitting for quantum dots separated by a finite barrier

Details Corrections to the universal behavior of the Coulomb-blockade peak splitting for quantum dots separated by a finite barrier Corrections to the universal behavior of the Coulomb-blockade peak splitting for quantum dots separated by a finite barrier

1996-11-22

arxiv.org/abs/cond-mat/9611173v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Title changed from ``Non-universal...'' to ``Corrections to the universal...'' No other changes. 10 pages, 1 RevTeX file with

Scientific paper

10.1103/PhysRevB.56.4716

Building upon earlier work on the relation between the dimensionless interdot channel conductance g and the fractional Coulomb-blockade peak splitting f for two electrostatically equivalent dots, we calculate the leading correction that results from an interdot tunneling barrier that is not a delta-function but, rather, has a finite height V and a nonzero width xi and can be approximated as parabolic near its peak. We develop a new treatment of the problem for g much less than 1 that starts from the single-particle eigenstates for the full coupled-dot system. The finiteness of the barrier leads to a small upward shift of the f-versus-g curve at small values of g. The shift is a consequence of the fact that the tunneling matrix elements vary exponentially with the energies of the states connected. Therefore, when g is small, it can pay to tunnel to intermediate states with single-particle energies above the barrier height V. The correction to the zero-width behavior does not affect agreement with recent experimental results but may be important in future experiments.

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