Phase measurements in Quantum Dots

  • Alessandro Silva
  • Moty Heiblum
Conference paper
Part of the NATO Science Series book series (NAII, volume 125)


Recent measurements of the phase of the transmission amplitude through a quantum dot (QD) revealed interesting and unexpected physics. In particular, the phase evolution across a sequence of Coulomb Blockade (CB) peaks is demonstrated to have a peculiar structure, characterized by an increase of π across each peak, followed by an abrupt phase lapse of π in each CB valley. A simple theory accounting for the origin of such phase lapses as well as for their small scale is discussed, though a satisfactory explanation of the presence of a phase lapse in each CB valley is still lacking. As the temperature of the system is reduced, the Kondo effect develops in CB valleys with non-zero QD spin (Kondo valleys). The measured phase evolution in this regime is characterized by a plateau at π in the valley, and a total increment of the phase close to 2π across the CB peak-Kondo valley-CB peak structure. This result contrast quantitatively with the theoretical prediction for the phase evolution based on the Anderson model, i.e. a plateau at π/2 in the Kondo valley and a total increment of π.


Phase Measurement Anderson Model Coulomb Blockade Transmission Amplitude Transmission Phase 
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Copyright information

© Springer Science+Business Media Dordrecht 2003

Authors and Affiliations

  • Alessandro Silva
    • 1
  • Moty Heiblum
    • 1
  1. 1.Department of Condensed Matter PhysicsThe Weizmann Institute of ScienceRehovotIsrael

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