Three Dirac points on the (110) surface of the topological insulator Bi1−xSbx

Topological insulator surfaces support metallic surface states with closed Fermi contours, encircling an odd number of Dirac points. Experimental studies have so far concentrated on surfaces with only one Dirac point, but three Dirac points can be expected for certain surface orientations of several...

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Published in:New Journal of Physics
Main Authors: Xie-Gang Zhu, Malthe Stensgaard, Lucas Barreto, Wendell Simoes e Silva, Søren Ulstrup, Matteo Michiardi, Marco Bianchi, Maciej Dendzik, Philip Hofmann
Format: Article
Language:English
Published: IOP Publishing 2013-01-01
Online Access:https://doi.org/10.1088/1367-2630/15/10/103011
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author Xie-Gang Zhu
Malthe Stensgaard
Lucas Barreto
Wendell Simoes e Silva
Søren Ulstrup
Matteo Michiardi
Marco Bianchi
Maciej Dendzik
Philip Hofmann
author_facet Xie-Gang Zhu
Malthe Stensgaard
Lucas Barreto
Wendell Simoes e Silva
Søren Ulstrup
Matteo Michiardi
Marco Bianchi
Maciej Dendzik
Philip Hofmann
author_sort Xie-Gang Zhu
collection DOAJ
container_title New Journal of Physics
description Topological insulator surfaces support metallic surface states with closed Fermi contours, encircling an odd number of Dirac points. Experimental studies have so far concentrated on surfaces with only one Dirac point, but three Dirac points can be expected for certain surface orientations of several topological insulator materials. Here we experimentally realize the Bi _1− _x Sb _x (110) surface for which an electronic structure with three Dirac points has been predicted (Teo et al 2008 Phys. Rev. B 78 045426), in contrast to the closed-packed (111) surface of the same material that supports only one Dirac point. We study the electronic structure of Bi _1− _x Sb _x (110) with angle-resolved photoemission and tight-binding calculations. We observe several metallic surface states, confirming not only the expectation that a topological insulator should be enclosed by metallic surfaces on all faces, but also the prediction of the surface state topology. Tight-binding calculations of the electronic structure are found to reproduce the expected topology of the surface states but they show one Dirac point that is not observed in the experiment, in the mirror line of the surface Brillouin zone. As in the case of Bi _1− _x Sb _x (111), this can be ascribed to an incorrect value of the mirror Chern number in the tight-binding parameters employed for the calculation. The quantitative agreement of the tight-binding calculation and the experiment is poorer than in the case of the (111) surface, something that is ascribed to the existence of dangling bonds on the (110) surface.
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spelling doaj-art-e87689dfc7a8432ea9a3211cf4aec83a2025-08-19T22:02:22ZengIOP PublishingNew Journal of Physics1367-26302013-01-01151010301110.1088/1367-2630/15/10/103011Three Dirac points on the (110) surface of the topological insulator Bi1−xSbxXie-Gang Zhu0Malthe Stensgaard1Lucas Barreto2Wendell Simoes e Silva3Søren Ulstrup4Matteo Michiardi5Marco Bianchi6Maciej Dendzik7Philip Hofmann8Department of Physics and Astronomy, Interdisciplinary Nanoscience Center (iNANO), Aarhus University , DK-8000 Aarhus C, DenmarkDepartment of Physics and Astronomy, Interdisciplinary Nanoscience Center (iNANO), Aarhus University , DK-8000 Aarhus C, DenmarkDepartment of Physics and Astronomy, Interdisciplinary Nanoscience Center (iNANO), Aarhus University , DK-8000 Aarhus C, DenmarkDepartment of Physics and Astronomy, Interdisciplinary Nanoscience Center (iNANO), Aarhus University , DK-8000 Aarhus C, Denmark; Departamento de Física, Universidade Federal de Minas Gerais , 30123-970, Belo Horizonte, BrazilDepartment of Physics and Astronomy, Interdisciplinary Nanoscience Center (iNANO), Aarhus University , DK-8000 Aarhus C, DenmarkDepartment of Physics and Astronomy, Interdisciplinary Nanoscience Center (iNANO), Aarhus University , DK-8000 Aarhus C, DenmarkDepartment of Physics and Astronomy, Interdisciplinary Nanoscience Center (iNANO), Aarhus University , DK-8000 Aarhus C, DenmarkDepartment of Physics and Astronomy, Interdisciplinary Nanoscience Center (iNANO), Aarhus University , DK-8000 Aarhus C, Denmark; Centre for Nanometer-Scale Science and Advanced Materials (NANOSAM), Smoluchowski Institute of Physics, Jagiellonian University , Reymonta 4, 30-059 Kraków, PolandDepartment of Physics and Astronomy, Interdisciplinary Nanoscience Center (iNANO), Aarhus University , DK-8000 Aarhus C, DenmarkTopological insulator surfaces support metallic surface states with closed Fermi contours, encircling an odd number of Dirac points. Experimental studies have so far concentrated on surfaces with only one Dirac point, but three Dirac points can be expected for certain surface orientations of several topological insulator materials. Here we experimentally realize the Bi _1− _x Sb _x (110) surface for which an electronic structure with three Dirac points has been predicted (Teo et al 2008 Phys. Rev. B 78 045426), in contrast to the closed-packed (111) surface of the same material that supports only one Dirac point. We study the electronic structure of Bi _1− _x Sb _x (110) with angle-resolved photoemission and tight-binding calculations. We observe several metallic surface states, confirming not only the expectation that a topological insulator should be enclosed by metallic surfaces on all faces, but also the prediction of the surface state topology. Tight-binding calculations of the electronic structure are found to reproduce the expected topology of the surface states but they show one Dirac point that is not observed in the experiment, in the mirror line of the surface Brillouin zone. As in the case of Bi _1− _x Sb _x (111), this can be ascribed to an incorrect value of the mirror Chern number in the tight-binding parameters employed for the calculation. The quantitative agreement of the tight-binding calculation and the experiment is poorer than in the case of the (111) surface, something that is ascribed to the existence of dangling bonds on the (110) surface.https://doi.org/10.1088/1367-2630/15/10/103011
spellingShingle Xie-Gang Zhu
Malthe Stensgaard
Lucas Barreto
Wendell Simoes e Silva
Søren Ulstrup
Matteo Michiardi
Marco Bianchi
Maciej Dendzik
Philip Hofmann
Three Dirac points on the (110) surface of the topological insulator Bi1−xSbx
title Three Dirac points on the (110) surface of the topological insulator Bi1−xSbx
title_full Three Dirac points on the (110) surface of the topological insulator Bi1−xSbx
title_fullStr Three Dirac points on the (110) surface of the topological insulator Bi1−xSbx
title_full_unstemmed Three Dirac points on the (110) surface of the topological insulator Bi1−xSbx
title_short Three Dirac points on the (110) surface of the topological insulator Bi1−xSbx
title_sort three dirac points on the 110 surface of the topological insulator bi1 xsbx
url https://doi.org/10.1088/1367-2630/15/10/103011
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