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Equivalence of the Effects on the Complex Conductivity of Superconductor due to Temperature Change and External Pair Breaking

Gao, J. and Zmuidzinas, J. and Vayonakis, A. and Day, P. and Mazin, B. and Leduc, H. (2008) Equivalence of the Effects on the Complex Conductivity of Superconductor due to Temperature Change and External Pair Breaking. Journal of Low Temperature Physics, 151 (1-2). pp. 557-563. ISSN 0022-2291. doi:10.1007/s10909-007-9688-z.

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The responsivity of microwave kinetic inductance detector (MKID) is related to the derivative of the complex conductivity σ with respect to the quasiparticle density n _(qp). For thermal quasiparticles, this derivative dσ/dn_(qp) can be evaluated from σ(T) and n_(qp)(T) given by the Marttis-Bardeen theory (Phys. Rev. 14:412, [1958]). For excess quasiparticles due to external pair breaking, d σ/dn _(qp) can be evaluated by introducing an effective chemical potential μ ^* into the Marttis-Bardeens theory, as did by Owen and Scalapino (Phys. Rev. Lett. 28:1559, [1972]). In this paper, we derive the expressions of dσ/dn_(qp) for both thermal and excess quasiparticles and show that they are approximately equal within the temperature and frequency range MKIDs operate. This equivalence validates the method of using bath temperature sweep to calibrate the responsivity of MKIDs. Response curves of an antenna-coupled submm MKID to bath temperature sweep and blackbody source temperature sweep are compared which demonstrates this equivalence.

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Additional Information:© 2008 Springer Science+Business Media, LLC. Received: 23 July 2007. Revised: 5 October 2007. Accepted: 5 October 2007. Published online: 10 January 2008.
Subject Keywords:Complex conductivity; Kinetic inductance detector
Issue or Number:1-2
Classification Code:PACS: 74.25.Nf; 74.40;+k; 85.25.-j
Record Number:CaltechAUTHORS:20100505-152823623
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:18152
Deposited By: Ruth Sustaita
Deposited On:05 May 2010 22:58
Last Modified:08 Nov 2021 23:41

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