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arXiv 1002.3390cond-mat.supr-concond-mat.str-el
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具有强对破缺的各向异性超导体的标度关系

Scaling relations in anisotropic superconductors with strong pair-breaking

V. G. Kogan

摘要:

在Abrikosov和Gor'kov关于对断裂效应的工作之后,人们可以推导出对于具有有序参数$C_s/T=γ^\prime+μT^2$的零费米表面平均值的材料(例如d波)或对于具有$<Δ> \ll Δ_{max}$的材料(例如,铁-磷族化合物的$\pm s$)。此外,伦敦穿透深度满足$λ^{-2}=λ_0^{-2}(1-T^2/T_c^2)$(或$λ-λ_0=βT^2 $在低温下)和$T_c$附近的上临界场的斜率是$H_{c2}^\prime \propto T_c$。乍一看,这些不相关的量之间存在着非常简单的关系:$μλ_0^2 T_c^3/|H_{c2}^\prime|=3ϕ_0/8π^2$和$ΔC β^2 T_c^4/|H_{c2,c}^\prime| = ϕ_0/16π^2 $是普适常数。在Ba(Fe $_{1-x}$ Co $_{x}$)$_2$ As $_2$和CeCoIn $_5$的两个样品上检查预测,其中所需的数据是可用的。

英文摘要:

Following the work of Abrikosov and Gor'kov on the pair-breaking effects, one can derive the temperature dependencies of the electronic specific heat $C_s/T=γ^\prime+μT^2$ (with the jump at the superconducting transition $ΔC \propto T_c^3$) for materials with zero Fermi surface average of the order parameter $<Δ>=0$ (e.g. d-wave) or for those with $<Δ> \ll Δ_{max}$ (e.g., $\pm s$ of iron-pnictides) in the presence of strong pair-breaking. Moreover, the London penetration depth satisfies $λ^{-2}=λ_0^{-2}(1-T^2/T_c^2)$ (or $λ-λ_0=βT^2 $ at low temperatures) and the slope of the upper critical field near $T_c$ is $H_{c2}^\prime \propto T_c$. Remarkably simple relations between these at first sight unrelated quantities take place: $μλ_0^2 T_c^3/|H_{c2}^\prime|=3ϕ_0/8π^2$ and $ΔC β^2 T_c^4/|H_{c2,c}^\prime| = ϕ_0/16π^2 $ are universal constants. The prediction is checked on two samples of Ba(Fe$_{1-x}$Co$_{x}$)$_2$As$_2$ and on CeCoIn$_5$ for which the data needed are available.

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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