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2014 ; 15
(6
): 064402
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New scheme for braiding Majorana fermions
#MMPMID27877725
Wu LH
; Liang QF
; Hu X
Sci Technol Adv Mater
2014[Dec]; 15
(6
): 064402
PMID27877725
show ga
Non-Abelian statistics can be achieved by exchanging two vortices in topological
superconductors with each grabbing a Majorana fermion (MF) as zero-energy
quasi-particle at the cores. However, in experiments it is difficult to
manipulate vortices. In the present work, we propose a way to braid MFs without
moving vortices. The only operation required in the present scheme is to turn on
and off local gate voltages, which liberates a MF from its original host vortex
and transports it along the prepared track. We solve the time-dependent
Bogoliubov-de Gennes equation numerically, and confirm that the MFs are protected
provided the switching of gate voltages for exchanging MFs are adiabatic, which
takes only several nano seconds given reasonable material parameters. By
monitoring the time evolution of MF wave-functions, we show that non-Abelian
statistics is achieved.