2014

Topological degeneracy (Majorana zero-mode) and 1+1D fermionic topological order in a magnetic chain on superconductor via spontaneous Z2 symmetry breaking

Klassen, Joel, Wen, Xiao-Gang

Understand

We study a chain of ferromagnetic nano-particles or ferromagnetic molecule/atoms on a substrate of fully gapped superconductors.

We find that under quite realistic conditions, the fermion-number-parity symmetry $Z_2^f$ can spontaneously break.
In other words, such a chain can realize a 1+1D fermionic topologically ordered state and the corresponding two-fold topological degeneracy on an open chain.
Such a topological degeneracy becomes the so called Majorana zero mode in the non-interacting limit.

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