Geodesic
Study of Majorana bound states in the Kitaev model with imaginary potentials
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 35 (2025) no. 1, pp. 129-136

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We consider the infinite non-Hermitian finite-difference Kitaev model simulating a one-dimensional superconducting wire. Non-Hermitianity is introduced into the model using delta-shaped imaginary potentials that simulate the gains and losses of the amplitudes of Majorana bound states (MBS). In a rigorous mathematical approach, the conditions for the existence of eigenfunctions describing the MBSs are found, as well as the dependence of the eigenfunctions on the model parameters and the effect of non-Hermiticity on the MBSs. Two regimes are considered, near the topological interphase boundary and at zero chemical potential.
Keywords: Kitaev model, non-Hermiticity, Majorana bound states 
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     author = {T. S. Tinyukova and Yu. P. Chuburin},
     title = {Study of {Majorana} bound states in the {Kitaev} model with imaginary potentials},
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T. S. Tinyukova; Yu. P. Chuburin. Study of Majorana bound states in the Kitaev model with imaginary potentials. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 35 (2025) no. 1, pp. 129-136. http://geodesic.mathdoc.fr/item/VUU_2025_35_1_a7/