Exact zero modes in twisted Kitaev chains

Article

关键词: MAJORANA FERMIONS;    TOPOLOGICAL PHASES;    P-WAVE;    SUPERCONDUCTOR;    NANOWIRE;    SIGNATURE;   

DOI  :  10.1103/PhysRevB.95.195140

来源: SCIE

【 摘 要 】

We study the Kitaev chain under generalized twisted boundary conditions, for which both the amplitudes and the phases of the boundary couplings can be tuned at will. We explicitly show the presence of exact zero modes for large chains belonging to the topological phase in the most general case, in spite of the absence of edges in the system. For specific values of the phase parameters, we rigorously obtain the condition for the presence of the exact zero modes in finite chains, and show that the zero modes obtained are indeed localized. The full spectrum of the twisted chains with zero chemical potential is analytically presented. Finally, we demonstrate the persistence of zero modes (level crossing) even in the presence of disorder or interactions.

【 授权许可】

Free