D. Song et al., UNDERSTANDING THE BEHAVIOR OF SUPERCONDUCTING COULOMB-BLOCKADE ELECTROMETERS, IEEE transactions on applied superconductivity, 7(2), 1997, pp. 3532-3535
We report measurements and quantum mechanical simulations of the behav
ior of superconducting two-junction Coulomb-blockade electrometers bia
sed near the superconducting gap, Our quantum model allows coherent su
perpositions of states with different number of charges on the island,
It predicts maximum current modulation delta I for devices with tunne
ling resistance R-Sigma = 64 pi Delta (h) over bar(2)C(Sigma)(2)/(e(6)
tau), where tau is the time for which the system maintains quantum co
herence, C-Sigma is the total island capacitance and Delta is the supe
rconducting energy gap, For comparison, we built Al-AlOx-Al electromet
ers with R-Sigma from 61 k Omega to 1.7 M Omega and C-Sigma ranging fr
om 0.9 fF to 8 fF, We find good agreement for tau approximate to 0.35
nsec.