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London penetration depth and pair breaking

机译：伦敦渗透深度和结对破坏

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摘要

The London penetration depth is evaluated for isotropic materials for any transport and pair-breaking Born scattering rates. Besides known results, a number of features are found. The slope |dρ/dθ| of the normalized superfluid density ρ = λ~2(0)/λ~2(θ) at the transition θ = T/T_c, = 1 has a minimum near the value of the pair-breaking parameter separating gapped and gapless states. The low-T exponentially flat part of ρ for the s-wave materials is suppressed by increasing pair breaking. For strong T_c suppression by magnetic impurities the "Homes scaling" λ~(-2)(0) ∝ σT_c with σ being the normal conductivity gives way to λ~(-2)(0) ∝ σT_c~2. For the d-wave order parameter, the transport and spin-flip Born scattering rates enter the theory only as a sum; in particular, they affect the T_c depression in the same manner. We confirm that the linear low-temperature behavior of ρ in a broad range of the combined scattering parameter turns to the T~2 behavior only when the critical temperature is suppressed at least by a factor of 3 relative to the clean limit T_(c) Moreover, in this range, ρ(θ) is only weakly dependent on the scattering parameter, i.e., it is nearly universal.
机译：对各向同性材料的伦敦迁移深度进行了评估，以了解其是否存在任何传输和成对的伯恩散射速率。除了已知结果外，还发现了许多功能。斜率|dρ/dθ|在过渡点θ= T / T_c处归一化超流体密度ρ=λ〜2（0）/λ〜2（θ）的θ= 1，在将能隙状态和无间隙状态分开的成对参数的值附近具有最小值。对于s波材料，ρ的低T指数平坦部分通过增加对断开来抑制。为了通过磁性杂质强力抑制T_c，将“ Homes scale”λ〜（-2）（0）∝σT_c（其中σ为法线电导率）替换为λ〜（-2）（0）∝σT_c〜2。对于d波阶参数，输运速率和自旋翻转Born散射速率仅作为总和输入理论；反之，特别是它们以相同的方式影响T_c下降。我们确认，只有在临界温度相对于洁净极限T_（c）至少被抑制了3倍时，ρ的线性低温行为才能在宽范围的组合散射参数范围内转变为T〜2行为。而且，在该范围内，ρ（θ）仅弱地依赖于散射参数，即，几乎是通用的。

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  • 来源
    《Physical review》 |2013年第22期|224508.1-224508.9|共9页
  • 作者

    V. G. Kogan; R. Prozorov; V. Mishra;

  • 作者单位

    Ames Laboratory and Physics Department, Iowa State University, Ames, Iowa 50011, USA;

    Ames Laboratory and Physics Department, Iowa State University, Ames, Iowa 50011, USA;

    Materials Science Division, Argonne National Laboratory, Lemont, Illinois 60439, USA;

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  • 正文语种 eng
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  • 关键词

    theories and models of superconducting state;

    机译：超导状态理论与模型;

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