Peek performances by Richard Busch
By Richard Busch
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30) of relatively smooth function quickly decays. We will use this fact for the analysis of dephasing. Physically, when electron tunnels, it excites two collective modes associated with two edge channels, and they carry away a part of the phase information. On the other hand, charging effects reflected in the parameter t lead to the bias dependent shift of the Aharonov-Bohm phase, φAB . As it follows from Eq. 29), the phase slips by π at points where the visibility vanishes. Away from these points, in particular at zero bias, the phase shift is a smooth function of the bias.
35). Therefore, the overall phase shift between zeros of the visibility can be estimated as L/(L U + L D ) 1. 36), evaluated numerically, is plotted in Fig. 35. Our main focus is first few oscillations of the visibility (upper panel), which reveal charging effects. We would like to emphasize several points. First, the width of the central lobe is equal to the width of side lobes. This is because in the case of the symmetric 70 3 Interaction Induced Dephasing of Edge States Fig. 7 The intrinsic visibility of Aharonov-Bohm oscillations |IAB | and the Aharonov-Bohm phase shift arg(IAB ) in the case of a single biased channel [1].
33) in case when two edge channels are biased [1], and in the weak tunneling regime (see Fig. 2). Left panel shows branch cuts of two singleparticle correlation functions, while in the right panel the limit u v is taken. The branch cut extends from t = L U /v to t = L D /v. After Ref. [2]. 2 All Edge Channels are Biased Next we analyze the experiment [7, 8]. The details of this experiment are discussed in the introduction. In the weak tunneling regime (see the left panel of Fig. 2) two edge channels are biased and almost completely reflected at the first quantum point contact.