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Kinetic Inductance Photodetectors Based on Nonequilibrium Response in Superconducting Thin-Film Structures

A. V. Sergeev, Boris S. Karasik, I. G. Gogidze, Vladimir Mitin

Published Dec 1, 2001• 0 citations
OpenAlex

Abstract

While experimental studies of kinetic-inductance sensors have been limited so far by the temperature range near the superconducting transition, these detectors can be very sensitivity at temperatures well below the transition, where the number of equilibrium quasiparticles is exponentially small. In this regime, a shift of the quasiparticle chemical potential under radiation results in the change of the kinetic inductance, which can be measured by a sensitive SQUID readout. We modeled the kinetic inductance response of detectors made from disordered superconducting Nb, NbC, and MoRe films. Low phonon transparency of the interface between the superconductor and the substrate causes substantial re-trapping of phonons providing high quantum efficiency and the operating time of approximately 1 ms at 1 K. Due to the small number of quasiparticles, the noise equivalent power of the detector determined by the quasiparticle generation-recombination noise can be as small as approximately 10(exp -19) W/Hz(exp 1/2) at He4 temperatures.

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Ben Mazin, Peter K. Day, Jonas Stasys Zmuidzinas +1 more

We are starting to investigate a novel multiplexable readout method that can be applied to a large class of superconducting pair-breaking detectors.This readout method is completely different from those currently used with STJ and TES detectors, and in principle could deliver large pixel counts, high sensitivity, and Fano-limited spectral resolution.The readout is based on the fact that the kinetic surface inductance L s of a superconductor is a function of the density of quasiparticles n, even at temperatures far below T c .An efficient way to measure changes in the kinetic inductance is to monitor the transmission phase of a resonant circuit.By working at microwave frequencies and using thin films, the kinetic inductance can be a significant part of the total inductance L, and the volume of the inductor can be made quite small, on the order of 1 //m 3 .As is done with other superconducting detectors, trapping could be used to concentrate the quasiparticles into the small volume of the inductor.However, the most intriguing aspect of the concept is that passive frequency multiplexing could be used to read out ~ 10 3 detectors with a single HEMT amplifier. DETECTOR CONCEPTKinetic inductance detectors operate on the principle that a change in the number of quasiparticles in a superconductor will produce a change in the kinetic inductance.This occurs because the quasiparticles block Cooper pairs from occupying some of the electron states.Photons (or particles) are absorbed in the superconductor, producing quasiparticles, and the resulting change in the inductance is measured to produce the detector output.Bolometric detectors using kinetic inductance thermometers have been previously suggested [1, 2, 3, 4, 5, 6].However, such thermometers must be operated close to T c , since the variation of the kinetic inductance with temperature is most rapid near T c , and vanishes exponentially at low temperatures.Although it has been discussed previously [7], it is not widely appreciated that the the variation of the kinetic inductance with energy or quasiparticle number is actually fairly constant down to very low temperatures.The idea, then, is to use the kinetic inductance effect to read out changes in the quasiparticle population produced by the direct absorbtion of pair-breaking photons rather than changes in the temperature of the phonons in a bolometric absorber.How can one measure the change in the kinetic inductance of a superconductor?One way is to make the superconductor act as an inductive element in a resonant circuit.A change in the quasiparticle population will change the inductance of the superconductor, and therefore the resonance frequency of the circuit, which can be monitored by measuring the transmission phase of a constant-frequency microwave probe signal transmitted through (or reflected from) the resonator.This method is extremely attractive, due both to CP605, Low Temperature Detectors, edited by F. S. Porter et al.

AIP conference proceedings•Jan 1, 2002•47 citations
While experimental studies of kinetic-inductance sensors have been limited so far by the temperature range near the superconducting transition, these detectors can be very sensitivity at temperatures well below the transition, where the number of equilibrium quasiparticles is exponentially small. In this regime, a shift of the quasiparticle chemical potential under radiation results in the change of the kinetic inductance, which can be measured by a sensitive SQUID readout. We modeled the kinetic inductance response of detectors made from disordered superconducting Nb, NbC, and MoRe films. Low phonon transparency of the interface between the superconductor and the substrate causes substantial re-trapping of phonons providing high quantum efficiency and the operating time of approximately 1 ms at 1 K. Due to the small number of quasiparticles, the noise equivalent power of the detector determined by the quasiparticle generation-recombination noise can be as small as approximately 10(exp -19) W/Hz(exp 1/2) at He4 temperatures.
While experimental studies of kinetic-inductance sensors have been limited so far by the temperature range near the superconducting transition, these detectors can be very sensitive at temperatures well below the transition, where the number of equilibrium quasiparticles is exponentially small. In this regime, a shift of the quasiparticle chemical potential under radiation results in the change of the kinetic inductance, which can be measured by a sensitive SQUID readout. We modeled the kinetic inductance response of detectors made from disordered superconducting Nb, NbC, and MoRe films. Low phonon transparency of the interface between the superconductor and the substrate causes substantial re-trapping of phonons providing high quantum efficiency and the operating time of ∼1 ms at ≈1 K. Due to the small number of quasiparticles, the noise equivalent power of the detector determined by the quasiparticle generation-recombination noise can be as small as ∼10−19 W/√Hz at He4 temperatures.
While most experimental studies of kinetic-inductance sensors have been limited so far by the temperature range near the superconducting transition, kinetic-inductance detectors can be very sensitive at temperatures well below the transition, where the number of equilibrium quasiparticles is exponentially small. In this regime, a shift of the quasiparticle chemical potential under radiation results in the change of the kinetic inductance. We modeled the noise characteristics of the kinetic-inductance detectors made from disordered superconducting Nb, NbC, and MoRe films. Low-phonon transparency of the interface between the superconductor and the substrate causes substantial retrapping of phonons providing high quantum efficiency and the operating time of ∼1 ms at ≈1 K. Due to the small number of quasiparticles, the noise equivalent power of the detector determined by the quasiparticle generation–recombination noise can be as small as ∼10−19 W/Hz at He4 temperatures.
Analysis of a quantum superconducting kinetic inductance photodetector (QSKIP) structure is presented for operation in a low background environment. We project the QSKIP’s spectral response to be limited by the Cooper pair binding energy, 2Δ or about 32 μm for YBCO. The QSKIP response and sensitivity are computed from the minimum of the Hamiltonian energy functional and linearized Rothwarf–Taylor equations. Photoresponse and sensitivity expressions are computed in terms of the quasiparticle lifetime and indicate background limited infrared performance at very low photon flux levels. At low temperatures and under background limited infrared performance conditions, the photoresponse is proportional to the number of absorbed photons. Operating the QSKIP in the Meissner state and below 50% of the critical current limits the noise sources to fluctuations in the condensate population. With the noise and photoresponse equations, the QSKIP noise equivalent power is computed in terms of the characteristic lifetimes of: quasiparticle generation; quasiparticle recombination; anharmonic phonon decay; and phonon trapping. The calculated noise equivalent power for a YBCO QSKIP is about 2.5×10−15 W/√Hz at 9 K.
Thin-film superconductors with thickness ∼30–500 nm are used as non-equilibrium quantum detectors for photons, phonons or more exotic particles. One of the most basic questions in determining their limiting sensitivity is the efficiency with which the quanta of interest couple to the detected quasiparticles. As low temperature superconducting resonators, thin films are attractive candidates for producing quantum-sensitive arrayable sensors and the readout uses an additional microwave probe. We have calculated the quasiparticle generation efficiency η s for low energy photons in a representative, clean thin-film superconductor (Al) operating well below its superconducting transition temperature as a function of film thickness, within the framework of the coupled kinetic equations described by Chang and Scalapino (1978 J. Low Temp. Phys. 31 1–32). We have also included the effect of a lower frequency probe. We show that phonon loss from the thin film reduces η s by as much as 40% compared to earlier models that considered relatively thick films or infinite volumes. We also show that the presence of the probe and signal enhances the generation efficiency slightly. We conclude that the ultimate limiting noise equivalent power of this class of detector is determined by the thin-film geometry.
Extremely sensitive far-infrared detectors suitable for both direct detection and heterodyne applications, based on mu m-sized thin films with thickness less than a superconducting penetration depth are possible. The penetration depth of such a film, and therefore its inductance, varies with temperature and with quasiparticle population (described by an effective temperature T*), resulting in both bolometric and nonequilibrium photoinductive responses. Incident radiation is coupled into the small-area kinetic inductor by a lithographic antenna, and the resulting inductance changes are amplified and converted to a voltage signal by an integrated microstrip DC SQUID. The device is sensitive because, unlike junction-based devices with large capacitive reactances, the kinetic inductor is naturally well matched to the antenna impedance at the far-IR frequency ( nu >2 Delta /h) and to the preamplifier (SQUID) impedance at microwave or video frequencies ( nu <<2 Delta /h). The best kinetic inductor materials are those with low electronic mean free path, large penetration depth, and high critical current density. Thus, common magnet alloys such as NbTi are the natural choice for liquid-He temperature operation. A detailed analysis predicts a (phonon-limited) NEP of 4*10/sup -17/ W/ square root Hz for a bolometer with an iridium kinetic inductor operated at 0.1 K. A heterodyne noise temperature of 2250 K (single-sideband) at 3 THz, with a 200-MHz bandwidth, is predicted for a Nb-Ti mixer operated at 4 K.
We are starting to investigate a novel multiplexable readout method that can be applied to a large class of superconducting pair-breaking detectors.This readout method is completely different from those currently used with STJ and TES detectors, and in principle could deliver large pixel counts, high sensitivity, and Fano-limited spectral resolution.The readout is based on the fact that the kinetic surface inductance L s of a superconductor is a function of the density of quasiparticles n, even at temperatures far below T c .An efficient way to measure changes in the kinetic inductance is to monitor the transmission phase of a resonant circuit.By working at microwave frequencies and using thin films, the kinetic inductance can be a significant part of the total inductance L, and the volume of the inductor can be made quite small, on the order of 1 //m 3 .As is done with other superconducting detectors, trapping could be used to concentrate the quasiparticles into the small volume of the inductor.However, the most intriguing aspect of the concept is that passive frequency multiplexing could be used to read out ~ 10 3 detectors with a single HEMT amplifier. DETECTOR CONCEPTKinetic inductance detectors operate on the principle that a change in the number of quasiparticles in a superconductor will produce a change in the kinetic inductance.This occurs because the quasiparticles block Cooper pairs from occupying some of the electron states.Photons (or particles) are absorbed in the superconductor, producing quasiparticles, and the resulting change in the inductance is measured to produce the detector output.Bolometric detectors using kinetic inductance thermometers have been previously suggested [1, 2, 3, 4, 5, 6].However, such thermometers must be operated close to T c , since the variation of the kinetic inductance with temperature is most rapid near T c , and vanishes exponentially at low temperatures.Although it has been discussed previously [7], it is not widely appreciated that the the variation of the kinetic inductance with energy or quasiparticle number is actually fairly constant down to very low temperatures.The idea, then, is to use the kinetic inductance effect to read out changes in the quasiparticle population produced by the direct absorbtion of pair-breaking photons rather than changes in the temperature of the phonons in a bolometric absorber.How can one measure the change in the kinetic inductance of a superconductor?One way is to make the superconductor act as an inductive element in a resonant circuit.A change in the quasiparticle population will change the inductance of the superconductor, and therefore the resonance frequency of the circuit, which can be monitored by measuring the transmission phase of a constant-frequency microwave probe signal transmitted through (or reflected from) the resonator.This method is extremely attractive, due both to CP605, Low Temperature Detectors, edited by F. S. Porter et al.