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arXiv 0706.0338cond-mat.supr-con
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超导体中的相干晶格振动

Coherent Lattice Vibrations in Superconductors

Alan M. Kadin

摘要:

卡丁最近的一项分析指出,BCS理论中的超导波函数在实空间中可以表示为与驻波晶格振动耦合的球形电子轨道(在相干长度的尺度上)。这种晶格振动实际上是一种束缚声子,具有波矢量2kf和近共振频率(德拜频率的量级),该频率使与电子轨道的吸引静电相互作用能最大化。本文将这幅图扩展到宏观尺度上贯穿整个超导体的电子和声子波的相干驻波图案。这些平行平面形成衍射波导,用于平行于平面行进的电子波,从而允许无损耗的超电流。类似的情形也可以延伸到非传统超导体,如铜氧化物,它们的自旋驻波阵列比声子阵列更大。这种相干晶格振动应该是超导状态的普遍和独特的指标,并且应该使用标准X射线和中子衍射技术在Tc以下观察到。进一步的影响,这张照片进行了讨论。

英文摘要:

A recent analysis by Kadin has noted that the superconducting wavefunction within the BCS theory may be represented in real-space as a spherical electronic orbital (on the scale of the coherence length) coupled to a standing-wave lattice vibration. This lattice vibration, effectively a bound phonon, has wavevector 2kf and a near-resonant frequency (on the order of the Debye frequency) that maximizes the attractive electrostatic interaction energy with the electronic orbital. The present paper extends this picture to a coherent standing-wave pattern of electron and phonon waves that traverses the entire superconductor on the macroscopic scale. These parallel planes form a diffractive waveguide for electron waves traveling parallel to the planes, permitting lossless supercurrent. A similar picture may be extended to unconventional superconductors such as the cuprates, with an array of standing spin waves rather than phonons. Such coherent lattice vibrations should be universal and distinctive indicators of the superconducting state, and should be observable below Tc using standard x-ray and neutron diffraction techniques. Further implications of this picture are discussed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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