How long does it take for the Kondo effect to develop?
Peter Nordlander, Michael Pustilnik, Yigal Meir, Ned S. Wingreen, David C. Langreth
Abstract
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 time-independent resonance at an effective temperature Teff = T/(πT t/2). Relevance of the buildup of the Kondo resonance to the transport current through a quantum dot is demonstrated.
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