Majorana fermions are fermionic particles which are their own antiparticles and they have been envisioned as qubits in application of fault-tolerant topological quantum computation [1,2]. In past few years, substantial research efforts were devoted to realize Majorana fermions in solid-state systems, and zero energy excitation in topological superconductors with p-wave paring symmetry turns out to be one of promising candidates [3-5]. In this talk, I will review several different routes in pursuit of Majorana zero energy mode (MZM) and how MZMs can be artificially manipulated in order to demonstrate proof-of-concept of topological braiding. Since Majorana fermions possess electron and hole in one, this triggers selective equal-spin Andreev reflection leading to spin dependent transport and an effective spin-polarization value can be extracted [6,7]. According to these observations, we would like to propose spin-resolved experiments to access the influential role of magnetism linked to emergence of MZMs in iron-based topological superconductors.

References:

1.    S. D. Sarma, et al. Majorana zero modes and topological qunatum computation, npj Quantum Information, 1, 15001 (2015)

2.    C. Nayak et al. Non-Abelian anyons and topological quantum computation, Rev. Mod. Phys. 80, 1083 (2008).

3.    S. Nadj-Perge et al. Observation of Majorana fermions in ferromagnetic atomic chains on a superconductor, Science 346, 602 (2014).

4.    J. P. Xu et al. Artificial topological superconductor by the Proximity effect, Phys. Rev. Lett. 112, 217001 (2014).

5.    D. Wang et al. Evidence for Majorana bound states in a iron-based superconductor, Science, 10.1126/science.aao1797 (2018).

6.    J. J. He et al.Selective equal-spin Andreev reflections induced by Majorans fermions , Phys. Rev. Lett. 112, 037001 (2014)

7.    H. H. Sun, et al. Majoran zero mode detected with spin selective Andreev reflection in the vortex of a topological superconductor, Phys. Rev. Lett. 116, 257003 (2016).