Superinsulator-superconductor duality in two dimensions
Superinsulator-superconductor duality in two dimensions
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DOI：
10.1016/j.aop.2012.12.007
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发表时间：
2013-04-01
影响因子：
3
通讯作者：
Vinokur, Valerii M.
中科院分区：
文献类型：
--
作者：
Baturina, Tatyana I.;Vinokur, Valerii M.
近半个世纪来，主流的正统观点一直认为，库珀对的唯一影响是在有限温度下电阻率为零的状态，即超导性。本文证明了利用与超导序参量的振幅和相位有关的海森堡测不准原理的对称性，库珀对可以在有限温度范围内产生零电导率的对偶态，即超绝缘态。我们表明，这种对偶性实现在平面约瑟夫森结阵列（JJA）通过之间的对偶性的涡旋-反涡旋等离子体中的Berezinskiii-Kosterlitz-无（BKT）过渡，导致在相变温度以下的相相干超导性，和电荷BKT过渡发生在绝缘状态的JJA和标记形成的低温电荷BKT状态，超绝缘。我们发现，处于超导体-绝缘体转变边缘的无序超导薄膜中，电荷间的库仑力具有二维特征，即相应的相互作用能与电荷分离度成几何关系，从而产生了与低温电荷-BKT态相同的涡旋-电荷-BKT转变对偶性，并在无序薄膜中实现了超绝缘。最后，我们讨论了超导-超绝缘对偶性的可能应用和利用。(C)2013 Elsevier Inc. All rights reserved.
For nearly a half century the dominant orthodoxy has been that the only effect of the Cooper pairing is the state with zero resistivity at finite temperatures, superconductivity. In this work we demonstrate that by the symmetry of the Heisenberg uncertainty principle relating the amplitude and phase of the superconducting order parameter, Cooper pairing can generate the dual state with zero conductivity in the finite temperature range, superinsulation. We show that this duality realizes in the planar Josephson junction arrays (JJA) via the duality between the Berezinskii-Kosterlitz-Thouless (BKT) transition in the vortex-antivortex plasma, resulting in phase-coherent superconductivity below the transition temperature, and the charge-BKT transition occurring in the insulating state of JJA and marking formation of the low-temperature charge-BKT state, superinsulation. We find that in disordered superconducting films that are on the brink of superconductor-insulator transition the Coulomb forces between the charges acquire two-dimensional character, i.e. the corresponding interaction energy depends logarithmically upon charge separation, bringing the same vortex-charge-BKT transition duality, and realization of superinsulation in disordered films as the low-temperature charge-BKT state. Finally, we discuss possible applications and utilizations of superconductivity-superinsulation duality. (C) 2013 Elsevier Inc. All rights reserved.