Weyl半金属的奇宇称超导性
Odd parity superconductivity in Weyl semimetals
摘要：
物质的非常规超导态是在强自旋轨道耦合的存在下实现的。特别地，非简并能带可以支持具有丰富拓扑内容的奇宇称超导。在这里，我们研究这是否是外尔半金属的情况。这些系统的低能量部分，在没有相互作用的情况下，通过在三维空间中线性分散手性费米子来描述。能谱在布里渊区中的偶数个点处具有节点。因此，节内有限动量对和节间BCS超导都是允许的。对于局域吸引相互作用，在有限化学势下，具有手征p波对称性的有限动量对态是最有利的。这种状态类似于超流$^{3}$ He A相，库珀对具有有限的质心动量。对于节点处的化学势，状态被完全带隙的电荷密度波抢占。对于长程吸引，BCS态在所有化学势值下都胜出。
英文摘要：
Unconventional superconducting states of matter are realized in the presence of strong spin orbit coupling. In particular, non degenerate bands can support odd parity superconductivity with rich topological content. Here we study whether this is the case for Weyl semimetals. These are systems whose low energy sector, in the absence of interactions, is described by linearly dispersing chiral fermions in three dimensions. The energy spectrum has nodes at an even number of points in the Brillouin zone. Consequently both intranodal finite momentum pairing and internodal BCS superconductivity are allowed. For local attractive interaction the finite momentum pairing state with chiral p-wave symmetry is found to be most favorable at finite chemical potential. The state is an analog of the superfluid $^{3}$He A phase, with cooper pairs having finite center of mass momentum. For chemical potential at the node the state is preempted by a fully gapped charge density wave. For long range attraction the BCS state wins out for all values of the chemical potential.
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