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Majorana zero modes, unconventional real–complex transition, and mobility edges in a one-dimensional non-Hermitian quasi-periodic lattice

Majorana zero modes, unconventional real–complex transition, and mobility edges in a one-dimensional non-Hermitian quasi-periodic lattice

In this paper, a one-dimensional non-Hermitian quasiperiodic $p$-wave superconductor without $\mathcal{PT}$-symmetry is studied. By analyzing the spectrum, we discovered there still exists real-complex energy transition even if the inexistence of $\mathcal{PT}$-symmetry breaking. By the inverse participation ratio, we constructed such a correspondence that pure real energies correspond to the extended …