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Fate of Majorana zero modes, exact location of critical states, and unconventional real-complex transition in non-Hermitian quasiperiodic lattices
We study a one-dimensional $p$-wave superconductor subject to non-Hermitian quasiperiodic potentials. Although non-Hermiticity exists, the Majorana zero mode is still robust against the disorder perturbation. The analytic topological phase boundary is verified by calculating the energy gap closing point and the topological invariant. Furthermore, we investigate the localized properties of …