Majorana zero-modes and topological phases of multi-flavored Jackiw-Rebbi model
Motivated by the recent Kitaev’s K-theory analysis of topological insulators and superconductors, we adopt the same framework to study the topological phase structure of Jackiw-Rebbi model in 3+1 dimensions. According to the K-theory analysis based on the properties of the charge conjugation and tim...
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| Format: | Article |
| Language: | en_US |
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Springer-Verlag
2014
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| Online Access: | http://hdl.handle.net/1721.1/88582 https://orcid.org/0000-0002-5874-581X |
| _version_ | 1826199664544710656 |
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| author | Ho, Shih-Hao Lin, Feng-Li Wen, Xiao-Gang |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Ho, Shih-Hao Lin, Feng-Li Wen, Xiao-Gang |
| author_sort | Ho, Shih-Hao |
| collection | MIT |
| description | Motivated by the recent Kitaev’s K-theory analysis of topological insulators and superconductors, we adopt the same framework to study the topological phase structure of Jackiw-Rebbi model in 3+1 dimensions. According to the K-theory analysis based on the properties of the charge conjugation and time reversal symmetries, we classify the topological phases of the model. In particular, we find that there exist Z Majorana zero-modes hosted by the hedgehogs/t’Hooft-Polyakov monopoles, if the model has a T [superscript 2] = 1 time reversal symmetry. Guided by the K-theory results, we then explicitly show that a single Majorana zero mode solution exists for the SU(2) doublet fermions in some co- dimensional one planes of the mass parameter space. It turns out we can see the existence of none or a single zero mode when the fermion doublet is only two. We then take a step further to consider four-fermion case and find there can be zero, one or two normalizable zero mode in some particular choices of mass matrices. Our results also indicate that a single normalizable Majorana zero mode can be compatible with the cancellation of SU(2) Witten anomaly. |
| first_indexed | 2024-09-23T11:23:52Z |
| format | Article |
| id | mit-1721.1/88582 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T11:23:52Z |
| publishDate | 2014 |
| publisher | Springer-Verlag |
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| spelling | mit-1721.1/885822022-10-01T03:19:52Z Majorana zero-modes and topological phases of multi-flavored Jackiw-Rebbi model Ho, Shih-Hao Lin, Feng-Li Wen, Xiao-Gang Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Ho, Shih-Hao Lin, Feng-Li Wen, Xiao-Gang Motivated by the recent Kitaev’s K-theory analysis of topological insulators and superconductors, we adopt the same framework to study the topological phase structure of Jackiw-Rebbi model in 3+1 dimensions. According to the K-theory analysis based on the properties of the charge conjugation and time reversal symmetries, we classify the topological phases of the model. In particular, we find that there exist Z Majorana zero-modes hosted by the hedgehogs/t’Hooft-Polyakov monopoles, if the model has a T [superscript 2] = 1 time reversal symmetry. Guided by the K-theory results, we then explicitly show that a single Majorana zero mode solution exists for the SU(2) doublet fermions in some co- dimensional one planes of the mass parameter space. It turns out we can see the existence of none or a single zero mode when the fermion doublet is only two. We then take a step further to consider four-fermion case and find there can be zero, one or two normalizable zero mode in some particular choices of mass matrices. Our results also indicate that a single normalizable Majorana zero mode can be compatible with the cancellation of SU(2) Witten anomaly. 2014-08-07T15:54:16Z 2014-08-07T15:54:16Z 2012-12 2012-07 Article http://purl.org/eprint/type/JournalArticle 1029-8479 1126-6708 http://hdl.handle.net/1721.1/88582 Ho, Shih-Hao, Feng-Li Lin, and Xiao-Gang Wen. “Majorana Zero-Modes and Topological Phases of Multi-Flavored Jackiw-Rebbi Model.” J. High Energ. Phys. 2012, no. 12 (December 2012). https://orcid.org/0000-0002-5874-581X en_US http://dx.doi.org/10.1007/jhep12(2012)074 Journal of High Energy Physics Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Springer-Verlag arXiv |
| spellingShingle | Ho, Shih-Hao Lin, Feng-Li Wen, Xiao-Gang Majorana zero-modes and topological phases of multi-flavored Jackiw-Rebbi model |
| title | Majorana zero-modes and topological phases of multi-flavored Jackiw-Rebbi model |
| title_full | Majorana zero-modes and topological phases of multi-flavored Jackiw-Rebbi model |
| title_fullStr | Majorana zero-modes and topological phases of multi-flavored Jackiw-Rebbi model |
| title_full_unstemmed | Majorana zero-modes and topological phases of multi-flavored Jackiw-Rebbi model |
| title_short | Majorana zero-modes and topological phases of multi-flavored Jackiw-Rebbi model |
| title_sort | majorana zero modes and topological phases of multi flavored jackiw rebbi model |
| url | http://hdl.handle.net/1721.1/88582 https://orcid.org/0000-0002-5874-581X |
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