<i>SP^*OT^*</i> symmetry and unconventional pairing in non-Hermitian superconductors

Novel physics with nontrivial topology and nodal structures emerge in the nonhermitian system. In this work, we investigate the role of damping as a mean to induce dynamics in the superconducting system. We find both odd (Berezinskii) and even (BCS) frequency (ω) states emerge as a result of damping in the superconductors. Odd ω pairing emerges as a result of SP^*OT^* symmetry ^[1]. To properly introduce Berezinskii classification in the nonhermitian superconductors, this classification should be extended to include particle-hole conjugation (C^*). C^*SP^*OT^* =-1. This symmetry constraint allows us to predict new kinds of order parameters in dynamic systems with damping. We have identified the natural occurrence of odd ω superconductivity (OFSc) in the nonhermitian systems such as odd ω s-wave spin-triplet superconducting state. We also propose experimental observables related to OFSc in such a nonhermitian system.

[1] Linder, Jacob, and Alexander V. Balatsky. "Odd-frequency superconductivity." arXiv preprint arXiv:1709.03986 (2017), RMP to be published