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arXiv 0802.1355cond-mat.supr-con
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无序对双带超导体远红外电导率和微波电导率的影响

Effect of disorder on the far-infrared conductivity and on the microwave conductivity of two-band superconductors

Bozidar Mitrovic

摘要:

本文研究了含非磁性杂质的双带超导体的远红外和微波电导率。在各向同性带和相互作用的假设下,导出了两带超导体电导率随频率和温度变化的强耦合表达式。我们的数值计算结果得到的MgB $_{2}$使用现实的相互作用参数进行了比较与实验上的这种化合物。我们发现,MgB $_{2}$的远红外电导率的现有实验结果是一致的多带超导性的存在下,一个足够强的带间杂质散射。另一方面,我们的数值计算结果表明,在超导状态下的微波电导率的实验结果与最高的转变温度$T_{c}$样品是一致的低带间杂质散射率,但敏感地依赖于在两个频带的总散射率的比率。当$π$带散射率$γ_π$不大于$σ$带散射率$γ_σ$时,微波电导率中存在一个单一的、宽的、低温(约为0.5 $T_{c}$)相干峰。对于$γ_π/γ_σ$ =4- 7,高温(约为0.9 $T_{c}$)相干峰是主要的,但也有一个低温峰/肩,这是由于$π$带载流子对微波电导率的贡献。对于$γ_π/γ_σ\gg$ 1,应仅观察到高温相干峰。

英文摘要:

We consider the far-infrared and the microwave conductivities of a two-band superconductor with non-magnetic impurities. The strong coupling expressions for the frequency and temperature dependent conductivity of a two-band superconductor are developed assuming isotropic bands and interactions. Our numerical results obtained using realistic interaction parameters for MgB$_{2}$ are compared with experiments on this compound. We find that the available experimental results for the far-infrared conductivity of MgB$_{2}$ are consistent with multi-band superconductivity in the presence of a sufficiently strong interband impurity scattering. On the other hand, our numerical results for the microwave conductivity in the superconducting state indicate that the experimental results obtained on samples with the highest transition temperature $T_{c}$ are consistent with a low interband impurity scattering rate but depend sensitively on the ratio of the total scattering rates in the two bands. For the $π$-band scattering rate $γ_π$ not greater than the $σ$-band scattering rate $γ_σ$ there is a single, broad, low-temperature (at about 0.5$T_{c}$) coherence peak in the microwave conductivity. For $γ_π/γ_σ$=4--7 a high-temperature (at about 0.9$T_{c}$) coherence peak is dominant, but there is also a low-temperature peak/shoulder resulting from the contribution of the $π$-band carriers to the microwave conductivity. For $γ_π/γ_σ\gg$1 only the high-temperature coherence peak should be observable.

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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