Abstract

We present a detailed thermal and electrical model of superconducting transition edge sensors (TESs) connected to quasiparticle (qp) traps, such as the W TESs connected to Al qp traps used for CDMS (Cryogenic Dark Matter Search) Ge and Si detectors. We show that this improved model, together with a straightforward time-domain optimal filter, can be used to analyze pulses well into the nonlinear saturation region and reconstruct absorbed energies with optimal energy resolution.

Highlights

  • We present a detailed thermal and electrical model of superconducting transition edge sensors (TESs) connected to quasiparticle traps, such as the W TESs connected to Al qp traps used for CDMS (Cryogenic Dark Matter Search) Ge and Si detectors

  • We have shown that our TES weak-link model captures the relevant physics governing TES behavior and produces good fits to observed data

  • Matching templates from this model to real data using a time-domain optimal filter yields significantly improved energy linearity and event energy reconstructions for real data

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Summary

MODEL OF PHONON SENSOR

CDMS (Cryogenic Dark Matter Search) relies on superconducting W transition-edge sensors (TESs) connected to Al collector fins to measure energy deposited as hot phonons in Si and Ge substrates by potential dark matter collisions.[1]. The model described in this paper was used to analyze data from a recent study of the energy collection in CDMS-style W/Al QETs (Quasi-particle Trap Assisted Electrothermal Feedback Transition Edge Sensors) by Yen[2] where collimated 2.62 keV Cl Kα x-rays were used to study the energy response of square W-TESs (250 μm on a side) at the ends of 300 nm-thick Al films of different lengths on Si substrates These TESs were designed to operate in saturation because the reduced heat capacity gives a better theoretical energy resolution than larger devices designed to operate in their linear regimes For this nonlinear and in principle non-stationary problem, template matching to simulated pulses provides the optimal filter.[4]

MODEL OF QET DEVICE
TEMPLATE MATCHING
NON-STATIONARY NOISE
ENERGY RESOLUTION
ENERGY SCALE
CONCLUSION

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