Topological semimetals with helicoid surface states
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Fu_Topological semimetals with helicoid surface states.pdf
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3.14 MB
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Author(s)
Fang, Chen
Lu, Ling
Liu, Junwei
Fu, Liang
Date Issued
June 2016
Journal
Nature Physics
Publisher
Nature Publishing Group
Citation
Fang, Chen et al. “Topological Semimetals with Helicoid Surface States.” Nature Physics 12.10 (2016): 936–941.
Version
Author's final manuscript
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Materials Processing Center
Massachusetts Institute of Technology. Department of Physics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1038/nphys3782
