Based on the stability theory of differential equation, we investigate the robustness of Majorana zero-energy state (MZS) which is an important candidate for the topological quantum computation. In contrast to the prior studies exploring the stability of MZS by the numerical verification which depends on the special perturbations chosen in the simulation, our treatment is suitable for the arbitrary perturbations, so the results we obtained are reliable which is ensured by the exact mathematical theory of stability analysis. As an example, we demonstrate this by the robustness of MZS in the superconductor/topological insulator/ferromagnet insulator junction; the analytical and numerical results indicate that the MZS is unstable in this system.

基于微分方程的稳定性理论，我们研究了马约拉纳零能态（MZS）的鲁棒性，该零能态是拓扑量子计算的重要候选者。与先前的研究通过数值验证探索MZS的稳定性相反，该数值验证取决于模拟中选择的特殊扰动，我们的处理适合于任意扰动，因此我们获得的结果是可靠的，这由精确的数学理论来保证稳定性分析。例如，我们通过MZS在超导体/拓扑绝缘体/铁磁体绝缘体结中的鲁棒性证明了这一点。分析和数值结果表明，MZS在该系统中不稳定。