Defective Majorana zero modes in non-Hermitian Kitaev chain

Abstract

Topological stability is an important property for topological materials. However, the non-Hermitian effects may change this situation. Here, we investigate the robustness of edge states in the non-Hermitian Kitaev chain with imbalanced tunneling term and superconducting pairing term. By defining the similarity of Majorana zero modes (MZMs) and magnetic factor, the coalescing phase diagram of the MZMs and corresponding spin polarization phase diagram are provided. Because of the non-Hermitian coalescence effect and non-Hermitian suppression effect induced by the breakdown of sublattice symmetry and particle-hole symmetry, the system emergence very interesting phenomenons, such as defective MZMs, number-anomalous bulk-boundary correspondence, coalescing of many-body ground states, the magnetic phase crossover without gap closing. Those novel non-Hermitian effects offer fresh insights into MZMs and topological physics.

arXiv comment9 pages, 5 figures

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• Irrational Non-Abelian Statistics for Non-Hermitian Generalization of Majorana Zero Modes
• Topological superconductivity enhanced by exceptional points
• Universal characteristics of one-dimensional non-Hermitian superconductors
• Coexistence of directed momentum current and ballistic energy diffusion in coupled non-Hermitian kicked rotors