Topological semimetals with helicoid surface states
Abstract
We show here 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 [(SrIrO3)2(CaIrO3)2] to be a topological semimetal with double-helicoid surface states.
- Authors:
-
[2];
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Physics; Chinese Academy of Sciences (CAS), Beijing (China)
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Physics
- Publication Date:
- Research Org.:
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1388390
- Grant/Contract Number:
- SC0001299; FG02-09ER46577
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Nature Physics
- Additional Journal Information:
- Journal Volume: 12; Journal Issue: 10; Journal ID: ISSN 1745-2473
- Publisher:
- Nature Publishing Group (NPG)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; surfaces, interfaces and thin films; topological matter
Citation Formats
Fang, Chen, Lu, Ling, Liu, Junwei, and Fu, Liang. Topological semimetals with helicoid surface states. United States: N. p., 2016.
Web. doi:10.1038/nphys3782.
Fang, Chen, Lu, Ling, Liu, Junwei, & Fu, Liang. Topological semimetals with helicoid surface states. United States. https://doi.org/10.1038/nphys3782
Fang, Chen, Lu, Ling, Liu, Junwei, and Fu, Liang. Mon .
"Topological semimetals with helicoid surface states". United States. https://doi.org/10.1038/nphys3782. https://www.osti.gov/servlets/purl/1388390.
@article{osti_1388390,
title = {Topological semimetals with helicoid surface states},
author = {Fang, Chen and Lu, Ling and Liu, Junwei and Fu, Liang},
abstractNote = {We show here 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 [(SrIrO3)2(CaIrO3)2] to be a topological semimetal with double-helicoid surface states.},
doi = {10.1038/nphys3782},
journal = {Nature Physics},
number = 10,
volume = 12,
place = {United States},
year = {Mon Jun 06 00:00:00 EDT 2016},
month = {Mon Jun 06 00:00:00 EDT 2016}
}
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