Short-time dynamics in $s+is$-wave superconductor with incipient bands

Abstract

Motivated by the recent observation of the time-reversal symmetry broken state in K-doped BaFe${}_2$As${}_2$ superconducting alloys, we theoretically study the collective modes and the short time dynamics of the superconducting state with $s+is$-wave order parameter using an effective four-band model with two hole and two electron pockets. The superconducting $s+is$ state emerges for incipient electron bands as a result of hole doping and appears as an intermediate state between $s^{\pm }$ (high number of holes) and $s^{++}$ (low number of holes). The amplitude and phase modes are coupled giving rise to a variety of collective modes. In the $s^{\pm }$ state, we find the Higgs mode at frequencies similar to a two-band model with an absent Leggett mode, while in the $s+is$ and $s^{++}$ state, we uncover a new coupled collective soft mode. Finally we compare our results with the $s+id$ solution and find similar behaviour of the collective modes.

arXiv comment10 pages, 9 figures

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• Infrared activation of the Higgs mode by supercurrent injection in superconducting NbN
• Collective modes in pumped unconventional superconductors with competing ground states
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• The role of orbital nesting in the superconductivity of Iron-based Superconductors
• Optical Pumping of Bardeen-Cooper-Schrieffer Superconductors
• Signatures of Bardasis-Schrieffer mode excitation in Third-Harmonic generated currents