无反转对称超导体中的Leggett模和Anderson-Higgs机制
Leggett modes and the Anderson-Higgs mechanism in superconductors without inversion symmetry
摘要：
我们发展了一个非中心对称超导体中由超导序参量相位引起的集体模的微观规范不变理论。考虑到各种晶体的对称性，我们得到相应的规范模式$ω_{\rm G}({\bf q})$，并发现，特别是，新的Leggett模式$ω_{\rm L}({\bf q})$的特性是独特的非中心对称超导体。我们计算了它们的质量和色散，反映了潜在的自旋轨道耦合，从而三重态和单重态超导性之间的平衡同时发生。最后，我们证明了安德森-希格斯机制的作用：而远程库仑相互作用的位移$ω_{\rm G}({\bf q})$的冷凝等离子体模式$ω_{\rm P}({\bf q})$，它留下的质量$Λ_0$的新莱格特模式不受影响，只有轻微修改其色散。
英文摘要：
We develop a microscopic and gauge-invariant theory for collective modes resulting from the phase of the superconducting order parameter in non-centrosymmetric superconductors. Considering various crystal symmetries we derive the corresponding gauge mode $ω_{\rm G}({\bf q})$ and find, in particular, new Leggett modes $ω_{\rm L}({\bf q})$ with characteristic properties that are unique to non-centrosymmetric superconductors. We calculate their mass and dispersion that reflect the underlying spin-orbit coupling and thus the balance between triplet and singlet superconductivity occurring simultaneously. Finally, we demonstrate the role of the Anderson-Higgs mechanism: while the long-range Coulomb interaction shifts $ω_{\rm G}({\bf q})$ to the condensate plasma mode $ω_{\rm P}({\bf q})$, it leaves the mass $Λ_0$ of the new Leggett mode unaffected and only slightly modifies its dispersion.
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