Topological semimetals with helicoid surface states

Fang, Chen; Lu, Ling; Liu, Junwei; Fu, Liang

doi:10.1038/nphys3782

Title: Topological semimetals with helicoid surface states

Journal Article · Mon Jun 06 00:00:00 EDT 2016 · Nature Physics

DOI:https://doi.org/10.1038/nphys3782· OSTI ID:1388390

Fang, Chen ^[1]; Lu, Ling ^[1];

^[2]; Fu, Liang ^[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

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.

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Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0001299; FG02-09ER46577

OSTI ID:: 1388390

Journal Information:: Nature Physics, Vol. 12, Issue 10; ISSN 1745-2473

Publisher:: Nature Publishing Group (NPG)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 119 works

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