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High-temperature superconductivity: the role of dielectricity

机译:高温超导性:介电性的作用

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The large ionic dielectric constant observed in the cuprates and in organic superconductors has drastic effects on both superconducting and normal-state properties. Specifically, the electron-phonon coupling is enhanced to an extent that it can account for high-temperature superconductivity via a phonon-mediated interaction. The electron-phonon scattering becomes very large for forward scattering accounting for the d-wave symmetry of the gap parameter. We generalized the Eliashberg equations for the case of a renormalized, frequency-dependent coupling constant arising from this huge ionic polarizability. the solution of the generalized Eliashberg equations along the imaginary-#omega# axis is straightforward. Extension of the solutions to the real-#omega# axis requires an elaborate algorithm. We worked it out, and find highly unusual spectroscopic properties, accounting for the experimentally observed extended Van Hove singularity, overdamping of electronic states, and the unusually large values of 2 triangle open_0/T_c. Thus, electron-phonon coupling can account for the various unusual properties of 'exotic' superconductors, when the proximity to a ferroelectric transition, characteristic of the perovskites, is taken into account.
机译:在铜酸盐和有机超导体中观察到的较大的离子介电常数对超导和常态性能均产生巨大影响。具体地,电子-声子耦合被增强到可以通过声子介导的相互作用解释高温超导性的程度。考虑到间隙参数的d波对称性,对于正向散射,电子声子散射变得非常大。我们归因于这种巨大的离子极化率而重新归一化的,依赖于频率的耦合常数的情况,对Eliashberg方程进行了推广。沿着虚构的#omega#轴的广义Eliashberg方程的解很简单。将解决方案扩展到实数#omega#轴需要复杂的算法。我们进行了计算,发现了非常不寻常的光谱特性,这是由于实验观察到的范霍夫扩展奇异性,电子态的过阻尼以及2个三角形open_0 / T_c的异常大值造成的。因此,当考虑到钙钛矿特征的铁电跃迁附近时,电子-声子耦合可以解释“奇异”超导体的各种异常特性。

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