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arXiv 0901.1047cond-mat.supr-concond-mat.str-el
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声子的扭结和d波:中间耦合的故事

Kinks and d-waves from phonons: The intermediate coupling story

J. P. Hague

摘要:

我目前的结果从一种方法,扩展Eliashberg理论的系统扩展的顶点函数,一个重要的扩展在大声子频率,即使是弱耦合。为了处理计算量大的动量双和问题,采用动态集团近似(DCA)方法将动量依赖性引入Eliashberg方程。首先,我考虑引入部分动量依赖于标准Eliashberg理论使用准局部近似的影响,我用它来证明,这是必不可少的,包括超出标准理论的修正时,调查d波状态。利用带有顶点修正的扩展理论,计算了电子和声子的谱函数。一个扭结的电子色散被发现在正常状态下沿主要的对称方向,类似于从铜酸盐的光发射。声子谱函数表明,在弱耦合$Wλ< ω_0$中,声子色散具有弱的动量依赖性,从而支持光学声子介导的d波超导理论,在$λ$中,d波超导是二阶的.特别是,检查的序参量与填充表明,顶点校正导致d波超导介导通过简单的光学声子。详细绘制了准二维系统的序参量,表明在准二维系统中超导对存在明显的感生各向异性。

英文摘要:

I present results from an approach that extends the Eliashberg theory by systematic expansion in the vertex function; an essential extension at large phonon frequencies, even for weak coupling. In order to deal with computationally expensive double sums over momenta, a dynamical cluster approximation (DCA) approach is used to incorporate momentum dependence into the Eliashberg equations. First, I consider the effects of introducing partial momentum dependence on the standard Eliashberg theory using a quasi-local approximation; which I use to demonstrate that it is essential to include corrections beyond the standard theory when investigating d-wave states. Using the extended theory with vertex corrections, I compute electron and phonon spectral functions. A kink in the electronic dispersion is found in the normal state along the major symmetry directions, similar to that found in photo-emission from cuprates. The phonon spectral function shows that for weak coupling $Wλ< ω_0$, the dispersion for phonons has weak momentum dependence, with consequences for the theory of optical phonon mediated d-wave superconductivity, which is shown to be 2nd order in $λ$. In particular, examination of the order parameter vs. filling shows that vertex corrections lead to d-wave superconductivity mediated via simple optical phonons. I map out the order parameters in detail, showing that there is significant induced anisotropy in the superconducting pairing in quasi-2D systems.

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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