Mesoscopic Fluctuations in Quantum Dots in the Kondo Regime

Details Mesoscopic Fluctuations in Quantum Dots in the Kondo Regime Mesoscopic Fluctuations in Quantum Dots in the Kondo Regime

2003-06-03

arxiv.org/abs/cond-mat/0306074v2

Phys. Rev. B 68, 161305(R) (2003)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevB.68.161305

Properties of the Kondo effect in quantum dots depend sensitively on the coupling parameters and so on the realization of the quantum dot -- the Kondo temperature itself becomes a mesoscopic quantity. Assuming chaotic dynamics in the dot, we use random matrix theory to calculate the distribution of both the Kondo temperature and the conductance in the Coulomb blockade regime. We study two experimentally relevant cases: leads with single channels and leads with many channels. In the single-channel case, the distribution of the conductance is very wide as $T_K$ fluctuates on a logarithmic scale. As the number of channels increases, there is a slow crossover to a self-averaging regime.

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