Estimation of Nb Junction Temperature Raised Due to Thermal Heat from Bias Resistor

Keisuke KUROIWA  Masaki KADOWAKI  Masataka MORIYA  Hiroshi SHIMADA  Yoshinao MIZUGAKI  

IEICE TRANSACTIONS on Electronics   Vol.E95-C   No.3   pp.355-359
Publication Date: 2012/03/01
Online ISSN: 1745-1353
DOI: 10.1587/transele.E95.C.355
Print ISSN: 0916-8516
Type of Manuscript: Special Section PAPER (Special Section on Josephson Junctions – Past 50 years and Future –)
Nb superconducting integration chips,  thermal heat,  bias resistor,  Josephson junction,  

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Superconducting integrated circuits should be operated at low temperature below a half of their critical temperatures. Thermal heat from a bias resistor could rise the temperature in Josephson junctions, and would reduce their critical currents. In this study, we estimate the temperature in a Josephson junction heated by a bias resistor at the bath temperature of 4.2 K, and introduce a parameter β that connects the thermal heat from a bias resistor and the temperature elevation of a Josephson junction. By using β, the temperature in the Josephson junction can be estimated as functions of the current through the resistor.