Mixing experiments have been performed at frequencies from 4 to 20 GHz on Nb thin‐film superconducting hot‐electron bolometers varying in length from 0.08 to 3 μm. The intermediate frequency (IF) bandwidth is found to vary as L−2, with L the bridge length, for devices shorter than √12 Leph≊1 μm, with Leph the electron‐phonon length. The shortest device has an IF bandwidth greater than 6 GHz, the largest reported for a low‐Tc superconducting bolometric mixer. The conversion efficiencies range from −5 to −11 dB (single sideband, SSB). For short bridges, the mixer noise temperature is found to be as low as 100 K (double sideband, DSB), with little length dependence. The local oscillator power required is small, ≊10 nW. Such mixers are very promising for low‐noise THz heterodyne receivers.

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It is predicted in Ref. 4 for cooling by diffusion that τth=L2/(12D), with L the bridge length and D the diffusion constant. Thus, when L=12Le−ph, the electron-phonon time τe−ph is equal to the time constant due to diffusion cooling. For the diffusion cooled devices presented here, we predict τth(ns)≈0.8L2, with L in μm. We find experimentally that τth(ns)≈1.8L2. This discrepancy appears to be within the uncertainties in the predicted as well as the measured prefactor. While the above prediction for τth is exact for a non-superconducting bridge, it also can be used below Tc because the quasiparticle excitations which carry away heat have energy ∼kT which is much larger than the gap energy near Tc.
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Evidence for such a crossover in the nonsuperconductor AuPd has recently been presented in W. Kanskar and M. N. Wyborne, Phys. Rev. Lett. 73, 2123 (1994); and D. E. Prober, Phys. Rev. Lett. 75, 3964 (1995); and for NbC in B. S. Karasik, K. S. Il’in, E. V. Pechen’, and S. I. Krasnosvobodtsev, Appl. Phys. Lett. 68 853 (1996). Our work is the first demonstration of such a crossover in Nb, and is also the first test of this crossover under actual receiver conditions, such as strong self-heating and large LO power.
8.
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9.
The power coupling to the device in the normal state from the cold rf input was measured to be above 90% from 0.1–12 GHz. The match is expected to remain this good to above 20 GHz.
10.
A cooled dc bias tee (Anritsu K250) was used. The dc load line was 20 Ω.
11.
Due to electrothermal feedback effects [H. Ekström, B. Karasik, E. Kollberg, and K. S. Yngvesson, Proceedings of 5th International Symposium on Space THz Technology, University of Michigan, Ann Arbor, MI, 169 (1994)], the time constant inferred from the bandwidth is equal to the ‘‘bare’’ thermal time constant τth only if the self-heating parameter [I2(dR/dT)/G] is small or Vdc/Idc is close to the IF amplifier input impedance, 50 Ω. (Here G is the thermal conductance to the bath.) Since Vdc/Idc is close to 50 Ω for the devices measured in this work, we believe that the inferred time constant is approximately equal to τth.
12.
For devices D and E, the dominant noise at low IF is due to thermal flucuations, but it is much too small to measure at 1.5 GHz.
13.
P. Santhanam and D. E. Prober, Phys. Rev. B 29, 3733 (1984); we use D=1 cm2/s,Rsq=33 Ω, and T=5.5 K.
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