How long does it take for the Kondo effect to develop?

Details How long does it take for the Kondo effect to develop? How long does it take for the Kondo effect to develop?

1999-03-15

arxiv.org/abs/cond-mat/9903240v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.83.808

The time-development of the Kondo effect is theoretically investigated by studying a quantum dot suddenly shifted into the Kondo regime by a change of voltage on a nearby gate. Using time-dependent versions of both the Anderson and Kondo Hamiltonians, it is shown that after a time $t$ following the voltage shift, the form of the Kondo resonance matches the {\it time-independent} resonance at an effective temperature $T_{eff} = T/\tanh(\pi T t/2)$. Relevance of the buildup of the Kondo resonance to the transport current through a quantum dot is demonstrated.

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