顶点修正Eliashberg理论中的诱导奇频超导态
Induced odd-frequency superconducting state in vertex-corrected Eliashberg theory
摘要:
我们表明,顶点修正Migdal的定理一般诱导奇频自旋三重态超导序参量,它与更常见的偶数频率自旋单重态对应共存。完全自洽的顶点校正Eliashberg理论计算的二维铜氧化物模型,各向同性耦合到爱因斯坦声子,确认两个超导间隙是有限的在很宽的温度范围内。次级$d$波奇频超导能隙比初级偶频$d$波带隙小一个数量级。我们的研究提供了一个直接的概念证明了一个以前未知的奇频超导的生成机制,以及两种超导状态在大块材料中的一般共存。
英文摘要:
We show that vertex corrections to Migdal's theorem in general induce an odd-frequency spin-triplet superconducting order parameter, which coexists with its more commonly known even-frequency spin-singlet counterpart. Fully self-consistent vertex-corrected Eliashberg theory calculations for a two dimensional cuprate model, isotropically coupled to an Einstein phonon, confirm that both superconducting gaps are finite over a wide range of temperatures. The subordinate $d$-wave odd-frequency superconducting gap is found to be one order of magnitude smaller than the primary even-frequency $d$-wave gap. Our study provides a direct proof of concept for a previously unknown generation mechanism of odd-frequency superconductivity as well as for the generic coexistence of both superconducting states in bulk materials.
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