Monday, July 8, 2013

1307.1668 (Olga Petrova et al.)

Unpaired Majorana modes in the gapped phase of Kitaev's honeycomb model    [PDF]

Olga Petrova, Paula Mellado, Oleg Tchernyshyov
We show that certain kinds of lattice dislocations in the Kitaev honeycomb model carry unpaired Majorana fermions. Each pair of such dislocations in the gapped phase of the system gives rise to a non-local fermion mode, whose energy decays exponentially with the distance between dislocations. This non-local fermion can be created or annihilated by winding a vortex around a dislocation. The vortex also changes its topological charge in this process. The model remains exactly solvable in the presence of such defects, which came to be known as twists, and has potential applications for quantum memory.
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