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
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...
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| Format: | Article |
| Language: | en_US |
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IOP Publishing
2017
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| Online Access: | http://hdl.handle.net/1721.1/109200 https://orcid.org/0000-0002-5874-581X |
| _version_ | 1811088373442412544 |
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| author | Klassen, Joel Wen, Xiao-Gang |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Klassen, Joel Wen, Xiao-Gang |
| author_sort | Klassen, Joel |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T14:01:12Z |
| format | Article |
| id | mit-1721.1/109200 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T14:01:12Z |
| publishDate | 2017 |
| publisher | IOP Publishing |
| record_format | dspace |
| spelling | mit-1721.1/1092002022-10-01T18:38:05Z 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 Klassen, Joel Wen, Xiao-Gang Massachusetts Institute of Technology. Department of Physics Wen, Xiao-Gang 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. 2017-05-19T13:34:34Z 2017-05-19T13:34:34Z 2015-09 2015-08 Article http://purl.org/eprint/type/JournalArticle 0953-8984 1361-648X http://hdl.handle.net/1721.1/109200 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 https://orcid.org/0000-0002-5874-581X en_US http://dx.doi.org/10.1088/0953-8984/27/40/405601 Journal of Physics: Condensed Matter Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf IOP Publishing arXiv |
| spellingShingle | Klassen, Joel 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 |
| title | 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 |
| title_full | 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 |
| title_fullStr | 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 |
| title_full_unstemmed | 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 |
| title_short | 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 |
| title_sort | 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 |
| url | http://hdl.handle.net/1721.1/109200 https://orcid.org/0000-0002-5874-581X |
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