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arXiv 2001.11537cond-mat.supr-con
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磁场中的层状超导体：有效质量模型的崩溃

Layered superconductor in a magnetic field: breakdown of the effective masses model

Andrei G. Lebed

备注：
5 pages, 1 figure
发表信息：
JETP Letters, 2019, vol. 110, pp. 173
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摘要：

理论上研究了准二维超导体在平行场$H_{c2}^{\parallel}(0)$和垂直场$H_{c2}^{\perp}$（0）中的零温上临界磁场.我们发现，$H_{c2}^{\parallel}(0) \approx 0.75 \ | d H_{c2}^{\parallel}/ dT|_{T_c} T_c $和$H_{c2}^{\perp}(0) \approx 0.59 \ | dH_{c2}^{\perp}/ d T|_{T_c} T_c$，其中$| d H_{c2}^{\parallel}/ dT|_{T_c}$和$| d H_{c2}^{\perp}/ d T|_{T_c}$是相应的上临界磁场的Ginzburg-Landau斜率。我们的研究结果表明，所谓的有效质量模型在Q2 D的情况下，可能是部分负责的实验观察到的偏离有效质量模型在一些层状超导体，包括$MgB_2$。

英文摘要：

We theoretically study the upper critical magnetic fields at zero temperature in a quasi-two-dimensional (Q2D) superconductor in the parallel and perpendicular fields, $H_{c2}^{\parallel}(0)$ and $H_{c2}^{\perp}$(0), respectively. We find that $H_{c2}^{\parallel}(0) \approx 0.75 \ | d H_{c2}^{\parallel}/ dT|_{T_c} T_c $ and that $H_{c2}^{\perp}(0) \approx 0.59 \ | dH_{c2}^{\perp}/ d T|_{T_c} T_c$, where $| d H_{c2}^{\parallel}/ dT|_{T_c}$ and $| d H_{c2}^{\perp}/ d T|_{T_c}$ are the corresponding Ginzburg-Landau slopes of the upper critical magnetic fields. Our results demonstrate the breakdown of the so-called effective mass model in Q2D case and may be partially responsible for the experimentally observed deviations from the effective mass model in a number of layered superconductors, including $MgB_2$.

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