Topological semimetals with helicoid surface states
We show that the surface dispersions of topological semimetals map to helicoidal structures, where the bulk nodal points project to the branch points of the helicoids whose equal-energy contours are Fermi arcs. This mapping is demonstrated in the recently discovered Weyl semimetals and leads us to p...
| Main Authors: | , , , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
Nature Publishing Group
2017
|
| Online Access: | http://hdl.handle.net/1721.1/108312 https://orcid.org/0000-0002-9236-7410 https://orcid.org/0000-0001-8051-7349 https://orcid.org/0000-0002-8803-1017 |
| _version_ | 1811080099619930112 |
|---|---|
| author | Fang, Chen Lu, Ling Liu, Junwei Fu, Liang |
| author2 | Massachusetts Institute of Technology. Materials Processing Center |
| author_facet | Massachusetts Institute of Technology. Materials Processing Center Fang, Chen Lu, Ling Liu, Junwei Fu, Liang |
| author_sort | Fang, Chen |
| collection | MIT |
| description | We show that the surface dispersions of topological semimetals map to helicoidal structures, where the bulk nodal points project to the branch points of the helicoids whose equal-energy contours are Fermi arcs. This mapping is demonstrated in the recently discovered Weyl semimetals and leads us to predict new types of topological semimetals, whose surface states are represented by double- and quad-helicoid surfaces. Each helicoid or multi-helicoid is shown to be the non-compact Riemann surface representing a multi-valued holomorphic function (generating function). The intersection of multiple helicoids, or the branch cut of the generating function, appears on high-symmetry lines in the surface Brillouin zone, where surface states are guaranteed to be doubly degenerate by a glide reflection symmetry. We predict the heterostructure superlattice [(SrIrO[subscript 3])[subscript 2](CaIrO[subscript 3])[subscript 2]] to be a topological semimetal with double-helicoid surface states. |
| first_indexed | 2024-09-23T11:25:48Z |
| format | Article |
| id | mit-1721.1/108312 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T11:25:48Z |
| publishDate | 2017 |
| publisher | Nature Publishing Group |
| record_format | dspace |
| spelling | mit-1721.1/1083122022-10-01T03:34:36Z Topological semimetals with helicoid surface states Fang, Chen Lu, Ling Liu, Junwei Fu, Liang Massachusetts Institute of Technology. Materials Processing Center Massachusetts Institute of Technology. Department of Physics Fang, Chen Lu, Ling Liu, Junwei Fu, Liang We show that the surface dispersions of topological semimetals map to helicoidal structures, where the bulk nodal points project to the branch points of the helicoids whose equal-energy contours are Fermi arcs. This mapping is demonstrated in the recently discovered Weyl semimetals and leads us to predict new types of topological semimetals, whose surface states are represented by double- and quad-helicoid surfaces. Each helicoid or multi-helicoid is shown to be the non-compact Riemann surface representing a multi-valued holomorphic function (generating function). The intersection of multiple helicoids, or the branch cut of the generating function, appears on high-symmetry lines in the surface Brillouin zone, where surface states are guaranteed to be doubly degenerate by a glide reflection symmetry. We predict the heterostructure superlattice [(SrIrO[subscript 3])[subscript 2](CaIrO[subscript 3])[subscript 2]] to be a topological semimetal with double-helicoid surface states. United States. Dept. of Energy. Office of Basic Energy Sciences (Solid-State Solar-Thermal Energy Conversion Center. DE-SC0001299/DE-FG02-09ER46577) Thousand Talents Program (China) United States. Army Research Office (Contract W911NF-13-D-0001) National Science Foundation (U.S.). Materials Research Science and Engineering Centers (Program) (Award DMR-1419807) United States. Department of Energy (Solid-State Solar-Thermal Energy Conversion Center. Grant DESC0001299) National Science Foundation (U.S.) (STC Center for Integrated Quantum Materials. Grant DMR-1231319) 2017-04-20T19:02:20Z 2017-04-20T19:02:20Z 2016-06 2016-01 Article http://purl.org/eprint/type/JournalArticle 1745-2473 1745-2481 http://hdl.handle.net/1721.1/108312 Fang, Chen et al. “Topological Semimetals with Helicoid Surface States.” Nature Physics 12.10 (2016): 936–941. https://orcid.org/0000-0002-9236-7410 https://orcid.org/0000-0001-8051-7349 https://orcid.org/0000-0002-8803-1017 en_US http://dx.doi.org/10.1038/nphys3782 Nature Physics Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Nature Publishing Group Prof. Liang Fu |
| spellingShingle | Fang, Chen Lu, Ling Liu, Junwei Fu, Liang Topological semimetals with helicoid surface states |
| title | Topological semimetals with helicoid surface states |
| title_full | Topological semimetals with helicoid surface states |
| title_fullStr | Topological semimetals with helicoid surface states |
| title_full_unstemmed | Topological semimetals with helicoid surface states |
| title_short | Topological semimetals with helicoid surface states |
| title_sort | topological semimetals with helicoid surface states |
| url | http://hdl.handle.net/1721.1/108312 https://orcid.org/0000-0002-9236-7410 https://orcid.org/0000-0001-8051-7349 https://orcid.org/0000-0002-8803-1017 |
| work_keys_str_mv | AT fangchen topologicalsemimetalswithhelicoidsurfacestates AT luling topologicalsemimetalswithhelicoidsurfacestates AT liujunwei topologicalsemimetalswithhelicoidsurfacestates AT fuliang topologicalsemimetalswithhelicoidsurfacestates |