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Two types of surface states in topological crystalline insulators

Junwei Liu, Wenhui Duan, and Liang Fu
Phys. Rev. B 88, 241303(R) – Published 11 December 2013
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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 Γ¯ and 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.

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  • Received 7 April 2013

DOI:https://doi.org/10.1103/PhysRevB.88.241303

©2013 American Physical Society

Authors & Affiliations

Junwei Liu1,2, Wenhui Duan1, and Liang Fu2,*

  • 1Department of Physics and State Key Laboratory of Low-Dimensional Quantum Physics, Tsinghua University, Beijing 100084, People's Republic of China
  • 2Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

  • *Corresponding author: liangfu@mit.edu

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Issue

Vol. 88, Iss. 24 — 15 December 2013

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