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We investigate the realization of a topological superconductor in a genericbucked honeycomb system equipped with four types of mass-generating terms,where the superconductor gap is introduced by attaching the honeycomb system toan $s$-wave superconductor. Constructing the topological phase diagram, we showthat Majorana modes are formed in the phase boundary. In particular, we analyzethe honeycomb system with antiferromagnetic order in the presence ofperpendicular electric field $E_{z}$. It becomes topological for$|E_{z}|>E_{z}^{\text{cr}}$ and trivial for $|E_{z}|<E_{z}^{\text{cr}}$, with$E_{z}^{\text{cr}}$ a certain critical field. It is possible to create atopological spot in a trivial superconductor by controlling applied electricfield. One Majorana zero-energy bound state appears at the phase boundary. Wecan arbitrarily control the position of the Majorana fermion by moving the spotof applied electric field, which will be made possible by a scanning tunnelingmicroscope probe.

Antiferromagnetic Topological Superconductor and Electrically Controllable Majorana Fermions