Self‐heating in the Coulomb‐blockade electrometer

Self‐heating in the Coulomb‐blockade electrometer
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库仑封锁静电计中的自热

DOI:
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发表时间:
1993
期刊:
影响因子:
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通讯作者:
J. Martinis
J. Martinis
中科院分区:
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文献类型:
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作者:
R. Kautz;G. Zimmerli;J. Martinis

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理论和实验之间的详细比较用于证明库仑阻塞静电计中存在自热。当考虑三种不同的加热模型时,对于一个模型,获得了与实验静电计特性的最佳拟合,其中岛电极的电子温度是通过电子声子耦合向晶格的热传递来确定的。在成功的模型中,岛电子的温度Ti与岛内耗散的功率Pi和声子的温度Tl有关,关系为Pi=ΣΩ(Ti5−Tl5),其中Σ是岛材料的电子声子耦合参数特征,Ω是岛的体积。理论与实验之间的最佳拟合得出铝中电子声子耦合的值 Σ=0.2 nW/K5/μm3。我们的计算表明,即使晶格保持在 35 mK,岛的电子温度通常也会超过 100 mK。
A detailed comparison between theory and experiment is used to demonstrate the presence of self‐heating in the Coulomb‐blockade electrometer. When three different heating models are considered, the best fit with experimental electrometer characteristics is obtained for a model in which the electron temperature of the island electrode is determined by heat transfer to the lattice via electron‐phonon coupling. In the successful model, the temperature Ti of the island electrons is related to the power Pi dissipated in the island and the temperature Tl of the phonons by Pi=ΣΩ(Ti5−Tl5), where Σ is an electron‐phonon coupling parameter characteristic of the island material and Ω is the volume of the island. The best fit between theory and experiment yields a value of Σ=0.2 nW/K5/μm3 for the electron‐phonon coupling in aluminum. Our calculations show that the electron temperature of the island commonly exceeds 100 mK even when the lattice remains at 35 mK.