Topological degeneracy (Majorana zero-mode) and 1 + 1D fermionic topological order in a magnetic chain on superconductor via spontaneous Z [subscript 2][superscript f] symmetry breaking
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Topological degeneracy.pdf
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Author(s)
Klassen, Joel
Wen, Xiao-Gang
Date Issued
September 2015
Journal
Journal of Physics: Condensed Matter
Publisher
IOP Publishing
Citation
Klassen, Joel and Wen, Xiao-Gang. “Topological Degeneracy (Majorana Zero-Mode) and 1 + 1D Fermionic Topological Order in a Magnetic Chain on Superconductor via Spontaneous Z [subscript 2][superscript f] Symmetry Breaking.” Journal of Physics: Condensed Matter 27, no. 40 (September 2015): 405601. © 2015 IOP Publishing Ltd
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Original manuscript
Abstract
We study a chain of ferromagnetic sites, ie nano-particles, molecules or atoms, on a substrate of fully gapped superconductors. We find that under quite realistic conditions, the fermion-number-parity symmetry Z [subscript 2][superscript 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.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
http://dx.doi.org/10.1088/0953-8984/27/40/405601
