6533b85bfe1ef96bd12bbedd

RESEARCH PRODUCT

Optimal operation of transition-edge sensors on ballistic membranes

T. KühnI. J. Maasilta

subject

Superconductivity (cond-mat.supr-con)Condensed Matter - Mesoscale and Nanoscale PhysicsCondensed Matter - SuperconductivityMesoscale and Nanoscale Physics (cond-mat.mes-hall)FOS: Physical sciences

description

We calculate the operating parameters of a transition edge sensor that is mounted on a thin dielectric membrane with the assumption that the phononic heat transport in the membrane is ballistic. Our treatment uses the correct phonon modes from elasticity theory (Lamb-modes), and spans the transition from 3D to 2D behavior. The phonon cooling power and conductance have a global minimum as function of membrane thickness, which leads to an optimal value for the membrane thickness with respect to noise equivalent power at a fixed operating temperature. The energy resolution of a calorimeter will not be affected strongly, but, somewhat counterintuitively, the effective time constant can be reduced by decreasing the membrane thickness in the 2D limit.

https://dx.doi.org/10.48550/arxiv.cond-mat/0702542