期刊
PHYSICAL REVIEW B
卷 100, 期 8, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.100.085110
关键词
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资金
- Imperial College President's Scholarship
We introduce non-Hermitian generalizations of Majorana zero modes (MZMs) which appear in the topological phase of a weakly dissipative Kitaev chain coupled to a Markovian bath. Notably, the presence of MZMs ensures that the steady state in the absence of decoherence events is twofold degenerate. Within a stochastic wave-function approach, the effective Hamiltonian governing the coherent nonunitary dynamics retains BDI classification of the closed limit but belongs to one of four non-Hermitian flavors of the tenfold way. We argue for the stability of MZMs due to a generalization of particle-hole symmetry and uncover the resulting topological phase diagram. Qualitative features of our paper generalize to two-dimensional chiral superconductors. The dissipative superconducting chain can be mapped to an Ising model in a complex transverse field, and we discuss potential signatures of the degeneracy.
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