We show that a cryogenic amplifier composed of a homemade GaAs high-electron-mobility transistor (HEMT) is suitable for current-noise measurements in a mesoscopic device at dilution-refrigerator temperatures. The lower noise characteristics of our homemade HEMT lead to a lower noise floor in the experimental setup and enable more efficient current-noise measurement than is available with a commercial HEMT. We present the dc transport properties of the HEMT and the gain and noise characteristics of the amplifier. With the amplifier employed for current-noise measurements in a quantum point contact, we demonstrate the high resolution of the measurement setup by comparing it with that of the conventional one using a commercial HEMT.
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The saturation of Ich near 20 mA for the W = 3 mm HEMT is due to the parasitic resistance of about 25 Ω, which is the sum of the ohmic contact resistance and the wiring resistance. We do not observe such saturation for the W = 1 mm HEMT over the measured Vg range because of its smaller contact resistance and the resultant smaller total parasitic resistance (about 20 Ω).
The commercial HEMT becomes unstable above VDD = 0.4 V.
We restricted the measurement up to P ≅ 1 mW to avoid the temperature rise of the 4 K stage.
The SVHEMT peak near f = 900 kHz is an artifact originating from the noise in the power supply.
At higher RL, the operating point becomes close to the pinch-off, leading to lower gm. This increases SVHEMT for a given SIch because SVHEMT ≅ SIch/gm2.
In this simulation, we first examined fits to the data for the GaAs line with several sets of |A(f1)| and values to obtain r, , and as fit parameters, while Cin = 238 pF and Lin = 33 μH were fixed to give f1 = 1.794 MHz. Then, we examined fits to the data for the ATF line with fixed values of Te, r, and SIHEMT obtained from the former fit. Using this procedure, we found that only the parameters presented in Table I and r = 14.7 Ω explain our experimental data consistently within the error of ∼4%.
The slight difference between the experimental data and the theoretical curve at G/G0 = 0.65 might be caused by nonlinear bias dependence of the QPC conductance.