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- Publisher Website: 10.1016/j.aop.2021.168564
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Article: Majorana orthogonal transformation and Majorana zero modes in free fermionic systems
Title | Majorana orthogonal transformation and Majorana zero modes in free fermionic systems |
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Authors | |
Keywords | Majorana zero mode Majorana fermion Topological phase |
Issue Date | 2021 |
Publisher | Academic Press. The Journal's web site is located at http://www.elsevier.com/locate/aop |
Citation | Annals of Physics, 2021, v. 432, article no. 168564 How to Cite? |
Abstract | We study free fermionic models that host Majorana zero modes using the Majorana orthogonal transformation, which is a type of transformation between different fermionic models under Majorana representation of complex fermions. Using Majorana orthogonal transformation, a U(1) topological gauge theory for the doubled px+ipy topological superconductor is obtained; the vortex Majorana zero modes and the degeneracy splitting of multiple vortices are studied using field theoretical method. For lattice Majorana hopping models, we perform real-space analysis on the Majorana zero modes. In one dimension, the decoupled Su–Schrieffer–Heeger model and the Kitaev chain are discussed as examples and building blocks for composite models. In two dimensions a simple lattice model realizing the px+ipy superconductor is introduced, and its defect Majorana zero mode is written down explicitly. We introduce a systematic way to obtain models hosting Majorana zero modes in which composite models are constructed from two independent Majorana hopping models by Majorana orthogonal transformations. Three one-dimensional models are proposed and discussed as examples. |
Persistent Identifier | http://hdl.handle.net/10722/305029 |
ISSN | 2021 Impact Factor: 3.036 2020 SCImago Journal Rankings: 0.817 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Fu, J | - |
dc.date.accessioned | 2021-10-05T02:38:44Z | - |
dc.date.available | 2021-10-05T02:38:44Z | - |
dc.date.issued | 2021 | - |
dc.identifier.citation | Annals of Physics, 2021, v. 432, article no. 168564 | - |
dc.identifier.issn | 0003-4916 | - |
dc.identifier.uri | http://hdl.handle.net/10722/305029 | - |
dc.description.abstract | We study free fermionic models that host Majorana zero modes using the Majorana orthogonal transformation, which is a type of transformation between different fermionic models under Majorana representation of complex fermions. Using Majorana orthogonal transformation, a U(1) topological gauge theory for the doubled px+ipy topological superconductor is obtained; the vortex Majorana zero modes and the degeneracy splitting of multiple vortices are studied using field theoretical method. For lattice Majorana hopping models, we perform real-space analysis on the Majorana zero modes. In one dimension, the decoupled Su–Schrieffer–Heeger model and the Kitaev chain are discussed as examples and building blocks for composite models. In two dimensions a simple lattice model realizing the px+ipy superconductor is introduced, and its defect Majorana zero mode is written down explicitly. We introduce a systematic way to obtain models hosting Majorana zero modes in which composite models are constructed from two independent Majorana hopping models by Majorana orthogonal transformations. Three one-dimensional models are proposed and discussed as examples. | - |
dc.language | eng | - |
dc.publisher | Academic Press. The Journal's web site is located at http://www.elsevier.com/locate/aop | - |
dc.relation.ispartof | Annals of Physics | - |
dc.subject | Majorana zero mode | - |
dc.subject | Majorana fermion | - |
dc.subject | Topological phase | - |
dc.title | Majorana orthogonal transformation and Majorana zero modes in free fermionic systems | - |
dc.type | Article | - |
dc.identifier.email | Fu, J: jlfu@hku.hk | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1016/j.aop.2021.168564 | - |
dc.identifier.scopus | eid_2-s2.0-85111484224 | - |
dc.identifier.hkuros | 325756 | - |
dc.identifier.volume | 432 | - |
dc.identifier.spage | article no. 168564 | - |
dc.identifier.epage | article no. 168564 | - |
dc.identifier.isi | WOS:000691798600010 | - |
dc.publisher.place | United States | - |