Heiss W.D. (ed.) Quantum dots.. a doorway to - tiera.ru
Heiss W.D. (ed.) Quantum dots.. a doorway to - tiera.ru
Heiss W.D. (ed.) Quantum dots.. a doorway to - tiera.ru
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46 J.M. Elzerman et al.<br />
waveform genera<strong>to</strong>r (Sony Tektronix AWS520), which can generate more complicat<strong>ed</strong><br />
pulses with a rise time of 1.5 ns. With the cables describ<strong>ed</strong> above, the<br />
fastest pulse flank we can transmit <strong>to</strong> the sample is about 200 ps. Microwave<br />
signals are transmitt<strong>ed</strong> with about 10 dB loss at 50 GHz.<br />
Special care ne<strong>ed</strong>s <strong>to</strong> be given <strong>to</strong> the connection from the coaxial cable <strong>to</strong><br />
the chip, in order <strong>to</strong> minimize reflections. The sample holder we use, has an<br />
SMA connec<strong>to</strong>r that can be connect<strong>ed</strong> <strong>to</strong> the 2.4 mm coaxial cable. At the<br />
other end, the pin of the SMA connec<strong>to</strong>r sticks through a small hole in the<br />
chip carrier. This allows it <strong>to</strong> be solder<strong>ed</strong> <strong>to</strong> a metal pad on the chip carrier,<br />
from which we can then bond <strong>to</strong> the chip. This sample holder is us<strong>ed</strong> <strong>to</strong> apply<br />
pulses or microwave signals <strong>to</strong> a gate electrode.<br />
1.8 Sample Stability<br />
A severe experimental difficulty that is not relat<strong>ed</strong> <strong>to</strong> the measurement setup,<br />
but <strong>to</strong> the sample itself, is the problem of “charge switching”. It shows up in<br />
measurements as fluctuations in the position of a Coulomb peak, or as sudden<br />
jumps in the QPC-current that are not relat<strong>ed</strong> <strong>to</strong> charging or discharging of a<br />
nearby quantum dot. Generally, these switches are attribut<strong>ed</strong> <strong>to</strong> (deep) traps<br />
in the donor layer that capture or release an electron close <strong>to</strong> the quantum<br />
dot [37]. This well-known but poorly unders<strong>to</strong>od phenomenon is a manifestation<br />
of 1/f noise in semiconduc<strong>to</strong>rs, which causes the electrostatic potential<br />
landscape in the 2DEG <strong>to</strong> fluctuate.<br />
The strength of the fluctuations can differ enormously. In some samples,<br />
switching occurs on a time scale of seconds, making only the most trivial<br />
measurements possible, whereas in other samples, no switches are visible on<br />
a time scale of hours. It is not clear what exactly determines the stability. It<br />
certainly depends on the heterost<strong>ru</strong>cture, as some wafers are clearly better<br />
than others. A number of growth parameters could be important, such as the<br />
Al concentration in the AlGaAs, the doping density and method (modulation<br />
doping or delta doping), the thickness of the spacer layer between the n-<br />
AlGaAs and GaAs, the depth of the 2DEG below the surface, a possible<br />
surface layer, and many more. We have recently start<strong>ed</strong> a collaboration with<br />
the group of Professor Wegscheider in Regensburg <strong>to</strong> grow and characterize<br />
heterost<strong>ru</strong>ctures in which some of these parameters are systematically vari<strong>ed</strong>.<br />
In this way we hope <strong>to</strong> find out what makes certain heterost<strong>ru</strong>ctures stable.<br />
Even for the same heterost<strong>ru</strong>cture, some samples are more quiet than<br />
others. The reasons for this are not clear. There are reports that stability is<br />
improv<strong>ed</strong> if the sample is cool<strong>ed</strong> down slowly, while applying a positive voltage<br />
(about +280 mV) on all gates that are going <strong>to</strong> be us<strong>ed</strong> in the experiment.<br />
This proc<strong>ed</strong>ure effectively “freezes in” a negative charge around the gates,<br />
such that less negative gate voltages are sufficient <strong>to</strong> define the quantum dot<br />
at low temperatures. Most samples describ<strong>ed</strong> in this work have been cool<strong>ed</strong><br />
down from room temperature <strong>to</strong> 4 K slowly (in one <strong>to</strong> two days) with all gates