Topological surface states on Bi${}_{1-x}$Sb${}_x$: Dependence on surface orientation, surface termination and stability

Abstract

Topological insulators support metallic surface states whose existence is protected by the bulk band structure. It has been predicted early that the topology of the surface state Fermi contour should depend on several factors, such as the surface orientation and termination and this raises the question to what degree a given surface state is protected by the bulk electronic structure upon structural changes. Using tight-binding calculations, we explore this question for the prototypical topological insulator Bi${}_{1-x}$Sb${}_x$, studying different terminations of the (111) and (110) surfaces. We also consider the implications of the topological protection for the (110) surfaces for the semimetals Bi and Sb

7 pages, 6 figures

References in corpus (8)

• Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
• A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
• Topological Crystalline Insulators
• Surface States of the Topological Insulator Bi_{1-x}Sb_x
• Strong spin-orbit splitting on Bi surfaces
• Polarity-driven surface metallicity in SmB${}_6$
• The fate of topological-insulator surface states under strong disorder
• Surface states on a topologically non-trivial semimetal: The case of Sb(110)

Cited by in corpus (10)

• Colloquium: Topological Band Theory
• Surface band structure of ${\text{Bi}}_{1-x}{\text{Sb}}_x$(111)
• Accessing the spectral function of in operando devices by angle-resolved photoemission spectroscopy
• One-dimensional spin texture of Bi(441); Quantum Spin Hall properties without a topological insulator
• Manifestation of axion electrodynamics through magnetic ordering on edges of topological insulator
• Insulating Half-Heusler TmPdSb with Unusual Band Order and Metallic Surface States
• Fragility of the Dirac Cone Splitting in Topological Crystalline Insulator Heterostructures
• One-Dimensional Spin-Polarised Surface States -- A Comparison of Bi(112) with Other Vicinal Bismuth Surfaces
• Ultrafast scattering dynamics of coherent phonons in Bi${}_{1-x}$Sb${}_x$ in the Weyl semimetal phase
• Resonantly enhanced photoemission from topological surface states in MnBi${}_6$Te${}_{10}$