Majorana-zero-mode moving caused nonadiabatic transition and fermion-parity violation and their detection

Majorana-zero-modes (MZMs) moving in topological superconductors (TSC) is an important issue for topological quantum computation． The microscopic lattice model was used to simulate the moving of MZMs in a TSC quantum wire via multiple segment modulation． The multiple segment moving was found to reduce nonadiabatic transition. Initial fermion-parity will be violated (slightly) owing to the second-order effect of nonadiabatic transition, mediated by the quasiparticle spectrum． We propose a scheme to probe both effects．