Statistical Distribution of Coulomb Blockade Peak Heights in Adiabatically Pumped Quantum Dots

Details Statistical Distribution of Coulomb Blockade Peak Heights in Adiabatically Pumped Quantum Dots Statistical Distribution of Coulomb Blockade Peak Heights in Adiabatically Pumped Quantum Dots

2001-10-18

arxiv.org/abs/cond-mat/0110366v1

Phys. Rev. B 64, 241301 (2001)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 2 figures

Scientific paper

10.1103/PhysRevB.64.241301

We study adiabatic quantum pumping in the resonant tunneling regime of a nearly-closed quantum dot, which is coupled to two leads via tunneling barriers. Using small cyclic variations of the tunneling rates of the barriers as the pumping mechanism, a current is obtained which depends sensitively on the system parameters and exhibits peaks due to Coulomb blockade. The distribution of the peak heights is found for temperatures $\Gam \ll k_{B} T \ll \Delta$, with $\Gam$ the total decay width into the leads and $\Delta$ the single-particle level spacing of the dot, and their average height is predicted to increase by a factor of $\frac{5\sqrt{2}}{18} \pi \approx 1.2$ upon breaking time-reversal symmetry. This is the pumping analog of the statistical theory of Coulomb blockade conductance peaks.

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