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arXiv 1503.02684cond-mat.supr-concond-mat.str-el
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Umklapp过程引起的超导密度-密度关联函数变化

Superconductivity-Induced Changes in Density-Density Correlation Function Enabled by Umklapp Processes

Wei-Cheng Lee

摘要:

受Leggett提出的中红外高温超导方案的启发,在微观模型下研究了长程库仑相互作用下Umklapp过程对密度-密度关联函数的影响.我们表明,由于Umklapp过程使散射,保持总动量仅高达$n\vec{K}$,其中$n$是一个整数和$\vec{K}$是倒易波矢量,显着量的光谱重量在长波长的等离子体激元激发转移到较低的频率在中红外区。我们进一步发现,无论间隙对称性,超导性一般抑制Umklapp散射由于形成的电子配对。这种抑制对于超导性是独特的,这是由于电子配对和与Umklapp通道相关的矩阵元素的奇宇称之间的相互作用,这通常不会发生在其他已知的竞争订单。具体的预测在光学电导率和电子能量损失谱(EELS)的实验签名将进行讨论。

英文摘要:

Motivated by the mid-infrared scenario for high-temperature superconductivity proposed by Leggett, the effects of Umklapp processes on the density-density correlation function in the presence of long-range Coulomb interaction have been investigated on a microscopic model. We show that because Umklapp processes enable scatterings that conserve total momentum only up to $n\vec{K}$, where $n$ is an integer and $\vec{K}$ is the reciprocal wave vector, significant amounts of spectral weight in the plasmonic excitations at long wavelength are transferred into lower frequency around mid-infrared regime. We further find that regardless of the gap symmetry, superconductivity generally suppresses the Umklapp scatterings due to the formation of the electron pairing. This suppression is unique for the superconductivity due to the interplay between electron pairing and the odd parity of the matrix elements associated with Umklapp channels, which usually does not occur in other known competing orders. Specific predictions for the experimental signatures in optical conductivity and electron energy loss spectroscopy (EELS) will be discussed.

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