2012
DOI: 10.1063/1.4759111
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Complex impedance, responsivity and noise of transition-edge sensors: Analytical solutions for two- and three-block thermal models

Abstract: The responsivity and noise of a voltage-biased superconducting transition-edge sensor depends strongly on the details of its thermal model, and the simplest theory for TES response assumes a single heat capacity connected to the heat bath. Here, analytical results are derived and discussed for the complex impedance, the responsivity and the noise of a transition-edge sensor, when the thermal model is not simple but consists of either two or three connected heat capacities. The implications of the differences o… Show more

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Cited by 42 publications
(43 citation statements)
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“…This has also practical relevance, because heat capacity is an important variable in bolometric detectors, as their noise properties depend sensitively on the heat capacities of different parts of the device. 24,25 Moreover, in the calorimetric (energy resolving) mode, the energy resolution is strongly dependent on the heat capacity. 26 In this work we calculate the heat capacities for two common membrane materials used in low temperature devices, silicon and silicon nitride, and compare how PnC patterns of different periodicity and membrane thickness affect the heat capacity.…”
Section: Introductionmentioning
confidence: 99%
“…This has also practical relevance, because heat capacity is an important variable in bolometric detectors, as their noise properties depend sensitively on the heat capacities of different parts of the device. 24,25 Moreover, in the calorimetric (energy resolving) mode, the energy resolution is strongly dependent on the heat capacity. 26 In this work we calculate the heat capacities for two common membrane materials used in low temperature devices, silicon and silicon nitride, and compare how PnC patterns of different periodicity and membrane thickness affect the heat capacity.…”
Section: Introductionmentioning
confidence: 99%
“…More complex models with additional thermal blocks are required, as reported in other works [26]- [31]. The simplest extension (two thermal blocks) assumes an extra C coming either from the membrane or from the decoupling of the electrons and phonons in the TES; both cases may result in quite similar Z(), also nearly indistinguishable from the SBM fits [28]. Three block models will be considered to better reproduce the experimental data.…”
Section: Resultsmentioning
confidence: 99%
“…The data are from MXW4647 (3-finger, on membrane), taken at T Base = 97.6 mK with different values of I Bias . The model fit is based on a two-block thermal model with separate connections to the thermal bath ("parallel" model in reference [13]). Squares in the center and right plots mark the bias point where the complex admittance data shown in the left panel was acquired.…”
Section: Discussionmentioning
confidence: 99%