Weyl半金属在强赝磁场中的超导电性
Superconductivity in Weyl semimetals in a strong pseudomagnetic field
摘要：
在局域四费米子相互作用模型下，研究了强应变赝磁场中Weyl半金属的超导s波态。结果表明，在最低的伪朗道能级近似下，只有节点间的配对是可能的。与常规磁场中最低朗道能级的情况不同，相应的能隙方程只有一个平凡的解。然而，超导性可以通过邻近效应与通常的s波自旋单态超导体诱导。由于外尔半金属表面必然存在伪磁场，因此伪磁场对邻近效应有很强的影响。对这种效应的分析表明，当光谱中没有能隙打开时，能级的简并度被提升。Weyl半金属中邻近效应的独特性质可以通过态密度、谱函数和隧穿电流来探讨。态密度在小能量下不为零，并与赝磁场强度成线性关系。这种缩放也表现在隧穿电流中。
英文摘要：
The superconducting s-wave state in Weyl semimetals in a strong strain-induced pseudomagnetic field is investigated in a model with local four-fermion interaction. It is found that only the inter-node pairing is possible in the lowest pseudo-Landau level approximation. Unlike the case of the lowest Landau level in a conventional magnetic field, the corresponding gap equation has only a trivial solution. Nevertheless, superconductivity can be induced via the proximity effect with a usual s-wave spin-singlet superconductor. Since a pseudomagnetic field is present necessarily at the surface of a Weyl semimetal, the proximity effect is strongly affected by the pseudomagnetic field. The analysis of such an effect showed that while no gap is opened in the spectrum, the degeneracy of energy levels is lifted. The unique character of the proximity effect in Weyl semimetals can be probed via the density of states, the spectral function, and the tunneling current. The density of states does not vanish at small energies and scales linearly with the pseudomagnetic field strength. This scaling is manifested also in the tunneling current.
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