Parity-time-symmetric topological superconductor

Nonequilibrium open systems effectively described by non-Hermitian Hamiltonians with parity-time (P0{0ex}T) symmetry have recently attracted considerable attention due to their properties with no Hermitian counterparts. In particular, there exists a growing interest in non-Hermitian topological phases of matter. Here, the authors show that a P0{0ex}T-symmetric topological superconducting wire possesses two distinct types of unconventional edge modes, those with complex energies and with nonorthogonal Majorana zero modes. The latter induce anomalous particle transport with nonlocal currents present only at the edges. This work explores a unique nonequilibrium topological phenomenon that results from the interplay between P0{0ex}T symmetry and topological superconductivity.