We demonstrate that structural chirality provides a robust and intrinsic mechanism for controlling Majorana zero modes (MZMs) in chiral nanowires coupled to $s$-wave superconductors. In a tight-binding model of helical nanowires, nanowires with opposite chirality share identical bulk spectra and topological phase boundaries, but their MZMs exhibit opposite spin polarization arising from the chirality-induced reversal of the bond-dependent spin-orbit field. This effect originates from the geometric structure of the nanowire and does not require tuning of other electronic parameters. By analyzing the symmetries connecting opposite-handed nanowires under different Zeeman field directions, we design a quantum-dot-mediated Josephson junction that enables an adiabatic, electrically controlled exchange of MZMs. Numerical simulations confirm the non-Abelian braiding and spin-dependent characteristics of the exchanged modes. These results establish structural chirality as a natural control parameter for the spin and topological properties of MZMs, offering a promising route toward chirality-engineered topological quantum computation.

Close

PrevNext

View figure in article

• Majorana zero modes
• Spin-orbit coupling
• Topological superconductors
• Nanowires
• Topological materials
• Bogoliubov-de Gennes equations
• Chiral symmetry
• Tight-binding model