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Analysis of the ac SQUID with low inductance and low critical current

机译:低电感和低临界电流的交流SQUID分析

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The properties of the ac SQUID magnetometer has been analyzed. The results are valid in the low‐inductance low‐critical‐current regime, where the Lri0 producted is belowthe value at which the relation between the enclosed and externally applied magnetic dc flux becomes reentrant. The effects of the screening current circulating in the SQUID ring as well as of the SQUID‐ring time constant, τ‐Lr/R9 are taken into account. Here LR IS THE SQUID‐ring inductance, and R is the shunt resistance in the shunted junction model assumed to describe the weak link. It is shown that for finite values of ωτ, where ω/2π is the pump frequency, the magnetometer response is due to both the flux dependence of the dispersion and f the dissipation in the tank circuit, and that, generally, the two mechanisms contribute simultaneously. Furthermore, for appropriately chosen ac bias conditions theyt may add constriuctively with the result that the optimal response occurs at a definite and finite value of ωτ. If ωτ is increased beyond this optimal value the weak link behavior is dominated by the Ohmic current channel implying that only if the shunt conductance contains a term depending on the superconducting phase‐as the so‐called cosine‐phji term predicted by tunneling theory‐the SQUID will stay sensitivity to magnetic fiels for large ωτ. The influence of the cosine‐phi term has been included in the analysis, and as expected it is found to play a significant role particularly fior large ωτ. It is, however, also shown that it is nontrivial to ext ract its magnitude from experiments based on the behavior of the ac SQUID, and that the recently published observations using this technique must be reinterpreted.
机译:已分析了交流SQUID磁力计的特性。该结果在低电感低临界电流状态下有效,其中Lri0的产生值低于封闭的磁通量与外部施加的直流磁通量之间的关系变为可重入的值。考虑了在SQUID环中循环的屏蔽电流以及SQUID环时间常数τ-Lr/ R9的影响。此处LR是SQUID环电感,R是在并联结模型中假定用来描述弱连接的并联电阻。结果表明,对于ωτ的有限值,其中ω/2π是泵浦频率,磁力计的响应是由于色散的磁通相关性和储能电路中的耗散f所致,通常,这两种机制都有助于同时。此外,对于适当选择的交流偏置条件,它们可能会起到有益的作用,从而使最佳响应出现在ωτ的确定值和有限值处。如果ωτ增加到超过该最佳值,则弱链接行为将由欧姆电流通道控制,这意味着仅当分流电导包含取决于超导相位的项时-如隧道理论预测的余弦-斐济项-对于较大的ωτ,SQUID将保持对磁场的灵敏度。余弦phi项的影响已包括在分析中,并且正如预期的那样,发现它在尤其大的ωτ中起着重要作用。但是,它也表明从基于ac SQUID行为的实验中得出其幅值并不容易,并且必须重新解释最近发表的使用该技术的观察结果。

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    《Journal of Applied Physics》 |1976年第11期|P.5030-5037|共8页
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  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);美国《生物学医学文摘》(MEDLINE);
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