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首页> 外文期刊>Physical review >Universal power-law decay of electron-electron interactions due to nonlinear screening in a Josephson junction array
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Universal power-law decay of electron-electron interactions due to nonlinear screening in a Josephson junction array

机译：约瑟夫逊结阵列中的非线性屏蔽导致电子-电子相互作用的普遍幂律衰减

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摘要

Josephson junctions are the most prominent nondissipative and at the same time nonlinear elements in superconducting circuits allowing Cooper pairs to tunnel coherently between two superconductors separated by a tunneling barrier. Due to this, physical systems involving Josephson junctions show highly complex behavior and interesting novel phenomena. Here, we consider an infinite one-dimensional chain of superconducting islands where neighboring islands are coupled by capacitances. We study the effect of Josephson junctions shunting each island to a common ground superconductor. We treat the system in the regime where the Josephson energy exceeds the capacitive coupling between the islands. For the case of two offset charges on two distinct islands, we calculate the interaction energy of these charges mediated by quantum phase slips due to the Josephson nonlinearities. We treat the phase slips in an instanton approximation and map the problem onto a classical partition function of interacting particles. Using the Mayer cluster expansion, we find that the interaction potential of the offset charges decays with a universal inverse-square power-law behavior.
机译：约瑟夫逊结是超导电路中最突出的非耗散且同时是非线性元素，允许库珀对在由隧穿势垒分隔的两个超导体之间相干地隧穿。因此，涉及约瑟夫森结的物理系统表现出高度复杂的行为和有趣的新颖现象。在这里，我们考虑超导岛的无限一维链，其中相邻岛通过电容耦合。我们研究了约瑟夫森交界处将每个岛分流到公共接地超导体的影响。我们在约瑟夫森能量超过孤岛之间的电容耦合的状态下对待系统。对于在两个不同的岛上的两个偏移电荷的情况，我们计算了由于约瑟夫森非线性导致的量子相移所介导的这些电荷的相互作用能。我们以瞬时近似来处理相移，并将问题映射到相互作用粒子的经典分配函数上。使用Mayer簇展开，我们发现偏移电荷的相互作用电势随着普遍的平方反幂律行为而衰减。

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  • 来源
    《Physical review》 |2016年第11期|115403.1-115403.9|共9页
  • 作者

    Daniel Otten; Sebastian Rubbert; Jascha Ulrich; Fabian Hassler;

  • 作者单位

    JARA-Institute for Quantum Information, RWTH Aachen University, D-52056 Aachen, Germany;

    Kavli Institute of Nanoscience, Delft University of Technology, P.O. Box 4056, 2600 GA Delft, The Netherlands;

    JARA-Institute for Quantum Information, RWTH Aachen University, D-52056 Aachen, Germany;

    JARA-Institute for Quantum Information, RWTH Aachen University, D-52056 Aachen, Germany;

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