Two types of surface states in topological crystalline insulators
Name
Liu-2013-Two types of surface states.pdf
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826.62 KB
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Author(s)
Liu, Junwei
Duan, Wenhui
Fu, Liang
Date Issued
December 2013
Journal
Physical Review B
Publisher
American Physical Society
Citation
Liu, Junwei, Wenhui Duan, and Liang Fu. “Two Types of Surface States in Topological Crystalline Insulators.” Phys. Rev. B 88, no. 24 (December 2013). © 2013 American Physical Society
Version
Final published version
Abstract
Topological crystalline insulators (TCIs) are new states of matter whose topological distinction relies on the crystal symmetry of periodic solids. The first material realization of TCIs has recently been predicted and observed in IV-VI semiconductor SnTe and related alloys. By combining k⋅p theory and band structure calculation, we present a unified approach to study topological surface states on various crystal surfaces of these TCI materials based on the electronic structure of the bulk. Depending on the surface orientation, we find two types of surface states with qualitatively different properties. In particular, the (111) surface states consist of four Dirac cones centered at [bar over Γ] and [bar over M], while Dirac cones on (001) and (110) surfaces are located at non-time-reversal-invariant momenta. The latter types of surface states exhibit a Lifshitz transition as a function of Fermi energy, which is accompanied by a Van Hove singularity in the density of states arising from saddle points in the band structure.
MIT Department
MIT Materials Research Laboratory
Massachusetts Institute of Technology. Department of Physics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.88.241303
