Comment on “Wave Function Scarring Effects in Open Stadium Shaped Quantum Dots”

Zozoulenko, Igor; Lundberg, Tomas

doi:10.1103/physrevlett.81.1744

Cited by 11 publications

(7 citation statements)

References 4 publications

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“…2(d) of [2] ]. We found a strong "whispering gallery" scar at this field [ZL's wave function, labeled 1 in [1], is almost an exact reproduction of our Fig. 2(c)].…”

supporting

confidence: 65%

“…We did not claim that the scars themselves are responsible for the periodicity. The nonrecurrence issue is a feature that we discuss at length in our paper [2], although ZL have ignored this in [1].…”

mentioning

confidence: 98%

“…1. (a) Fourier power spectra for (1) a function modeled on ZL's fluctuation curve from [1], and (2) our simulation of the experimental dot from [2], but done over the range 0 , B , 0.07 T. Inset: Front half of the stadium from Fig. 2(d) of [2].…”

mentioning

confidence: 99%

“…The beam picture of ZL [ Fig. 1(c) of [1] ] is inappropriate, since it is for zero field. Contrary to ZL, current conservation is always maintained since the current that is apparently lost goes into an inelastic scattering channel [6].…”

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confidence: 99%

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Akis, Ferry, and Bird Reply:

1998

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Akis, Ferry, and Bird Reply: In the preceding Comment [1], Zozoulenko and Lundberg (ZL) seem to have misinterpreted our Letter [2]. In reply, we make the following comments.We presented simulations of stadium-shaped quantum dots, and found that the magnetoconductance fluctuations showed a periodicity that could be decomposed into relatively few frequencies, indicating that only a few periodic orbits were responsible. This is the behavior we claimed as being universal. We did not claim that there was a single universal frequency in this structure. However, the implication by ZL that there is no periodicity at all in the stadium flies in the face of experiment, which has demonstrated a highly periodic nature to the fluctuations in such dots [3][4][5]. In curve 1 of Fig. 1(a) we show the power spectrum obtained from a more careful processing of the fluctuation curve [ Fig. 1(a) of [1] ]. Periodicities are clearly apparent in the latter figure, and our curve illustrates this. While the peaks are different from our Fig. 2(a) in [2], this is no surprise since minor differences are to be expected. We also find that the "scar" peak in our own data is quite prominent regardless of how we subtract the background. In Fig. 1(b), we plot a portion of the conductance G͑E, B͒, in the Fermi energy-magnetic field plane. Curves such as this would be unobtainable were ZL correct about the sensitivity, and this figure clearly illustrates the periodicity.

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“…2(d) of [2] ]. We found a strong "whispering gallery" scar at this field [ZL's wave function, labeled 1 in [1], is almost an exact reproduction of our Fig. 2(c)].…”

supporting

confidence: 65%

mentioning

confidence: 98%

mentioning

confidence: 99%

mentioning

confidence: 99%

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Akis, Ferry, and Bird Reply:

1998

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“…In the past decade, quantum transport phenomena in open quantum dots has received much attention. 1,2,3,4,5,6,7,8,9,10,11 The open quantum dot, consisting of a submicron sized cavity connecting via point contact leads to two end-electrodes, has become an important device for the investigation of phase coherent processes and their various mechanisms. The size of the dot and the width of the leads can be controlled by split-gates.…”

Section: Introductionmentioning

confidence: 99%

Transport spectroscopy in a time-modulated open quantum dot

2003

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We have investigated the time-modulated coherent quantum transport phenomena in a ballistic open quantum dot. The conductance $G$ and the electron dwell time in the dots are calculated by a time-dependent mode-matching method. Under high-frequency modulation, the traversing electrons are found to exhibit three types of resonant scatterings. They are intersideband scatterings: into quasibound states in the dots, into true bound states in the dots, and into quasibound states just beneath the subband threshold in the leads. Dip structures or fano structures in $G$ are their signatures. Our results show structures due to 2$\hbar\omega$ intersideband processes. At the above scattering resonances, we have estimated, according to our dwell time calculation, the number of round-trip scatterings that the traversing electrons undertake between the two dot openings.Comment: 8 pages, 5 figure

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