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arXiv 1709.01869cond-mat.supr-con
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高磁场下拓扑绝缘体表面态超导电性的二维Weyl费米气体模型

2D Weyl Fermi gas model of Superconductivity in the Surface state of a Topological Insulator at High Magnetic fields

Vladimir Zhuravlev, Wenye Duan, Tsofar Maniv

摘要:

本文用Nambu-Gorkov格林函数方法研究了高垂直磁场下二维自旋动量锁费米气体模型中的强II型超导性。当化学势足够接近分支(狄拉克)点时,使得回旋加速器有效质量$m^{\ast }$是自由电子质量$m_{e}$的非常小的分数,$H-T$相图的相对大的部分暴露于磁量子振荡效应。该模型系统是实现在2D超导状态,最近观察到的拓扑绝缘体Sb $_{2}$ Te $_{3} $的表面上,其中高场测量报告在低载流子密度与$m^{\ast}=0.065m_{e}$。在这样一个系统中,作为一个功能的$H$和$T$,使用Weyl模型和参考标准模型,利用一个简单的二次色散定律的配对凝聚能的计算,发现产生难以区分的结果与实验数据相比。只有在载流子密度很小的情况下,才会出现与标准模型预测值的显著偏差,当回旋能量很大时,朗道能级填充因子小于1,费米能级收缩到截止能量以下。

英文摘要:

The Nambu-Gorkov Green's function approach is applied to strongly type-II superconductivity in a 2D spin-momentum locked (Weyl) Fermi gas model at high perpendicular magnetic fields. When the chemical potential is sufficiently close to the branching (Dirac) point, such that the cyclotron effective mass, $m^{\ast }$, is a very small fraction of the free electron mass, $m_{e}$, relatively large portion of the $H-T$ phase diagram is exposed to magneto-quantum oscillation effects. This model system is realized in the 2D superconducting state, observed recently on the surface of the topological insulator Sb$_{2}$Te$_{3} $, for which high field measurements were reported at low carrier densities with $m^{\ast}=0.065m_{e}$. Calculations of the pairing condensation energy in such a system, as a function of $H$ and $T$, using both the Weyl model and a reference standard model, that exploits a simple quadratic dispersion law, are found to yield indistinguishable results in comparison with the experimental data. Significant deviations from the predictions of the standard model are found only for very small carrier densities, when the cyclotron energy becomes very large, the Landau level filling factors are smaller than unity, and the Fermi energy shrinks below the cutoff energy.

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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