Percolation model for the superconductor-insulator transition in granular films

Yakov M. Strelniker; Aviad Frydman; Shlomo Havlin

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Percolation model for the superconductor-insulator transition in granular films

机译：颗粒薄膜中超导体-绝缘体过渡的渗流模型

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We study the temperature dependence of the superconductor-insulator transition in granular superconductors. Empirically, these systems are characterized by very broad resistance tails, which depend exponentially on the temperature, and the normal state resistance. We model these systems by two-dimensional random resistor percolation networks in which the resistance between two grains is governed either by Josephson junction coupling (Cooper pair's tunneling) or by quasiparticle tunneling. Our numerical simulations as well as an effective medium evaluation explain the experimental results over a wide range of temperatures and resistances. Using effective medium approximation we find an analytical expression for the effective resistance of the system and the value of the critical resistance separating conducting from insulating branches.

机译：我们研究了颗粒状超导体中超导体-绝缘体转变的温度依赖性。根据经验，这些系统的特征是电阻尾部非常宽，电阻尾部与温度和正常状态的电阻成指数关系。我们通过二维随机电阻渗滤网络对这些系统进行建模，其中两个晶粒之间的电阻由约瑟夫森结耦合（库珀对的隧穿）或准粒子隧穿控制。我们的数值模拟和有效的介质评估说明了在宽温度和电阻范围内的实验结果。使用有效的介质近似，我们找到了系统的有效电阻以及与绝缘支路分离的临界电阻值的解析表达式。

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来源
《Physical review. B, Condensed Matter And Materials Physics》 |2007年第22期|p.224528.1-224528.6|共6页
作者
Yakov M. Strelniker; Aviad Frydman; Shlomo Havlin;
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作者单位

Minerva Center, Jack and Pearl Resnick Institute of Advanced Technology, and Department of Physics, Bar-llan University, IL-52900 Ramat-Gan, Israel;

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正文语种 eng
中图分类固体物理学;
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granular, melt-textured, amorphous and composite superconductors; transport properties (electric and thermal conductivity, thermoelectric effects, etc.); tunneling phenomena; point contacts, weak links, josephson effects;

机译：颗粒状;熔融纹理化;非晶态和复合超导体;传输特性（电导率和热导率;热电效应等）;隧道现象;点接触;弱连接;约瑟夫森效应;

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1. Hard energy gap in the insulating regime of nominally granular films near the superconductor-insulator transition [J] . Yen-Hsiang Lin, A. M. Goldman Physical review . 2010,第21期

机译：在超导体-绝缘体过渡附近的名义颗粒薄膜的绝缘状态下的硬能隙
2. Negative magnetoresistance, negative electroresistance, and metallic behavior on the insulating side of the two-dimensional superconductor-insulator transition in granular Pb films [J] . R. P. Barber Jr., Shih-Ying Hsu, J. M. Valles Jr., Physical review. B, Condensed Matter And Materials Physics . 2006,第13期

机译：颗粒状Pb薄膜中二维超导体-绝缘体过渡的绝缘侧的负磁阻，负电阻和金属行为
3. Grain and void resonances in granular silver films near the percolation threshold: Experiment and simulation using an entropic model [J] . Andraud C., Lafait J., Da Silva A. Physica, B. Condensed Matter . 2000,第1a3期

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4. Superconductor-Insulator Transition of In-Sb Granular Films [C] . B. Shinozaki, M. Watanabe, T. Nakamura, International Conference on Low Temperature Physics . 2005

机译：超导体 - 绝缘体过渡IN-SB颗粒膜
5. Transport behavior across the field-driven superconductor-insulator transition in amorphous indium oxide films. [D] . Kim, Min-Soo. 2012

机译：非晶态氧化铟膜中场驱动的超导体-绝缘体跃迁之间的传输行为。
6. Structural electron transportation and magnetic behavior transition of metastable FeAlO granular films [O] . Guohua Bai, Chen Wu, Jiaying Jin, -1

机译：亚稳FeAlO颗粒膜的结构电子传输和磁行为转变
7. Percolation model for the superconductor-insulator transition in granular films [O] . Strelniker, Yakov M., Frydman, A., Havlin, S. 2007

机译：超导体 - 绝缘体转变的渗流模型颗粒状薄膜

Percolation model for the superconductor-insulator transition in granular films

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