STM Imaging of Electronic Waves on the Surface ofBi2Te3: Topologically Protected Surface States and Hexagonal Warping Effects
Open accessAbstract
Scanning tunneling spectroscopy studies on high-quality Bi2Te3 crystals exhibit perfect correspondence to angle-resolved photoemission spectroscopy data, hence enabling identification of different regimes measured in the local density of states (LDOS). Oscillations of LDOS near a step are analyzed. Within the main part of the surface band oscillations are strongly damped, supporting the hypothesis of topological protection. At higher energies, as the surface band becomes concave, oscillations appear, dispersing with a wave vector that may result from a hexagonal warping term.
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The same conclusion has emerged from studies of the electronic interference patterns near defects or steps on the surface that electrons never turn completely around when scattered in other topological insulators.
“The same conclusion has emerged from studies of the electronic interference patterns near defects or steps on the surface that electrons never turn completely around when scattered in other topological insulators (25,26)).”
From Three-Dimensional Topological Insulators (2011) · cites this paper as [26]
Hexagonal deformation of the surface states is confirmed by STM measurements.
“Hexagonal deformation of the surface states is confirmed by STM measurements (26).”
From Three-Dimensional Topological Insulators (2011) · cites this paper as [26]
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Cites
Topological insulators with inversion symmetry
Fu, L., & Kane, C. L. (2007) · Physical Review B · doi:10.1103/physrevb.76.045302 · Cited by 4,252 · see citing works
Chen, Y. L., Analytis, J. G., Chu, J.-H., Liu, Z. K., Mo, S.-K., Qi, X. L., Zhang, H. J., Lu, D. H., Dai, X., Fang, Z., et al. (2009) · Science · doi:10.1126/science.1173034 · Cited by 3,585 · see citing works
Self-citationTopological field theory of time-reversal invariant insulators
Qi, X.-L., Hughes, T. L., & Zhang, S.-C. (2008) · Physical Review B · doi:10.1103/physrevb.78.195424 · Cited by 3,329 · see citing works
Friedel, J. (1958) · Il Nuovo Cimento · doi:10.1007/bf02751483 · Cited by 1,806 · see citing works
Imaging standing waves in a two-dimensional electron gas
Crommie, M. F., Lutz, C. P., & Eigler, D. M. (1993) · Nature · doi:10.1038/363524a0 · Cited by 1,275 · see citing works
Observation of Unconventional Quantum Spin Textures in Topological Insulators
Hsieh, D., Xia, Y., Wray, L., Qian, D., Pal, A., Dil, J. H., Osterwalder, J., Meier, F., Bihlmayer, G., Kane, C. L., et al. (2009) · Science · doi:10.1126/science.1167733 · Cited by 1,239 · see citing works
Topological surface states protected from backscattering by chiral spin texture
Roushan, P., Seo, J., Parker, C. V., Hor, Y. S., Hsieh, D., Qian, D., Richardella, A., Hasan, M. Z., Cava, R. J., & Yazdani, A. (2009) · Nature · doi:10.1038/nature08308 · Cited by 1,052 · see citing works
Fu, L. (2009) · Physical Review Letters · doi:10.1103/physrevlett.103.266801 · Cited by 775 · see citing works
Time-Reversal-Invariant Topological Superconductors and Superfluids in Two and Three Dimensions
Qi, X.-L., Hughes, T. L., Raghu, S., & Zhang, S. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.187001 · Cited by 716 · see citing works
Hor, Y. S., Richardella, A., Roushan, P., Xia, Y., Checkelsky, J. G., Yazdani, A., Hasan, M. Z., Ong, N. P., & Cava, R. J. (2009) · Physical Review B · doi:10.1103/physrevb.79.195208 · Cited by 647 · see citing works
Direct observation of standing wave formation at surface steps using scanning tunneling spectroscopy
Hasegawa, Y., & Avouris, P. (1993) · Physical Review Letters · doi:10.1103/physrevlett.71.1071 · Cited by 632 · see citing works
Giant Friedel Oscillations on the Beryllium(0001) Surface
Sprunger, P. T., Petersen, L., Plummer, E. W., et al. (1997) · Science · doi:10.1126/science.275.5307.1764 · Cited by 246 · see citing works
Role of Spin in Quasiparticle Interference
Pascual, J. I., Bihlmayer, G., Koroteev, Y. M., Rust, H. ‐., Ceballos, G., Hansmann, M., Horn, K., Chulkov, E. V., Blügel, S., Echenique, P. M., et al. (2004) · Physical Review Letters · doi:10.1103/physrevlett.93.196802 · Cited by 165 · see citing works
Shelimova, L. E., Karpinskiǐ, O. G., Константинов, П. П., et al. (2004) · Inorganic Materials · doi:10.1023/b:inma.0000027590.43038.a8 · Cited by 126 · see citing works
Urazhdin, S., Bilc, D., Mahanti, S. D., Tessmer, S. H., Kyratsi, T., & Kanatzidis, M. G. (2004) · Physical Review B · doi:10.1103/physrevb.69.085313 · Cited by 122 · see citing works
Urazhdin, S., Bilc, D., Tessmer, S. H., Mahanti, S. D., Kyratsi, T., & Kanatzidis, M. G. (2002) · Physical Review B · doi:10.1103/physrevb.66.161306 · Cited by 102 · see citing works
Flagged first, then by citations
Research works printed but not linked: 11
- [1]L. Fu and C.L. Kane, Phys. Rev. B 76, 045302 (2007).
- [2]D. Hsieh, Y. Xia, L. Wray, D. Qian, A. Pal, J. H. Dil, J. Osterwalder, F. Meier, G. Bihlmayer, C. L. Kane, Y. S. Hor, R. J. Cava, and M. Z. Hasan, Science 323, 919 (2009).
- [3]Xiao-Liang Qi, Taylor L. Hughes and Shou-Cheng Zhang, Phys. Rev. B 78, 195424 (2008); Xiao-Liang Qi, Taylor L. Hughes, S. Raghu, and Shou-Cheng Zhang, Phys. Rev. Lett. 102, 187001 (2009).
- [4]Y. L. Chen, J. G. Analytis, J. H. Chu, Z. K. Liu, S. K. Mo, X. L. Qi, H. J. Zhang, D. H. Lu, X. Dai, Z. Fang, S. C. Zhang, I. R. Fisher, Z. Hussain, Z. X. Shen, Science 325, 178 (2009).
- [5]S. Urazhdin, D. Bilc, S. D. Mahanti, and S. H. Tessmer, Theodora Kyratsi and M. G. Kanatzidis, Phys. Rev. B 69, 085313 (2004).
- [7]Y.S. Hor, A. Richardella, P. Roushan, Y. Xia, J.G. Checkelsky, A. Yazdani, M.Z. Hasan, N.P. Ong, R.J. Cava, Phys. Rev. B 79, 195208 (2009).
- [8]M. F. Crommie, C. P. Lutz, D. M. Eigler, Nature 363, 524 (1993).
- [9]Y. Hasegawa and Ph. Avouris, Phys. Rev. Lett. 71, 1071 (1993).
- [10]P. T. Sprunger, L. Petersen, E. W. Plummer, E. Lægsgaard, F. Besenbacher, Science 275, 1764 (1997).
- S. Avilov, M. A. Kretova, and V. S. Zemskov, Inorganic Materials 40, 451 (2004), Translated from Neorganicheskie Materialy 40, 530 (2004).
- [12]J. Freidel, Nuovo Cimento Suppl. 2, 287 (1958).
Cited by
Sorted by citations
<i>Colloquium</i> : Topological insulators
Hasan, M. Z., & Kane, C. L. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.3045 · Cited by 19,930 · see citing works
Topological insulators and superconductors
Qi, X.-L., & Zhang, S.-C. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.1057 · Cited by 14,394 · see citing works
Topological Insulator Materials
Ando, Y. (2013) · Journal of the Physical Society of Japan · doi:10.7566/jpsj.82.102001 · Cited by 1,789 · see citing works
Control over topological insulator photocurrents with light polarization
McIver, J. W., Hsieh, D., Steinberg, H., Jarillo-Herrero, P., & Gedik, N. (2012) · Nature Nanotechnology · doi:10.1038/nnano.2011.214 · Cited by 647 · see citing works
Quantum anomalous Hall effect and related topological electronic states
Weng, H., Yu, R., Hu, X., Dai, X., & Fang, Z. (2015) · Advances in Physics · doi:10.1080/00018732.2015.1068524 · Cited by 506 · see citing works
Quasiparticle interference of the Fermi arcs and surface-bulk connectivity of a Weyl semimetal
Inoue, H., Gyenis, A., Wang, Z., Li, J., Oh, S. W., Jiang, S., Ni, N., Bernevig, B. A., & Yazdani, A. (2016) · Science · doi:10.1126/science.aad8766 · Cited by 190 · see citing works
- Authors
- Alpichshev, Z., Analytis, J. G., Chu, J.-H., Fisher, I. R., Chen, Y. L., Shen, Z. X., Fang, A., & Kapitulnik, A.
- Affiliations
- SLAC National Accelerator Laboratory (US)
- Stanford University (US)
- ORCID
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2010-01-04
- Volume
- 104
- Issue
- 1
- Pages
- 016401-016401
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2040234053
- Cited by
- 539
- References
- 16
- Citations by year
- 2026: 17 · 2025: 15 · 2024: 18 · 2023: 19 · 2022: 23 · 2021: 22 · 2020: 25 · 2019: 18 · 2018: 30 · 2017: 24 · 2016: 37 · 2015: 52 · 2014: 47 · 2013: 64 · 2012: 62
- FWCI
- 32.58
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) (submittedVersion)
- University of North Texas Digital Library (University of North Texas) (submittedVersion)
- arXiv (Cornell University)
- Bulletin of the American Physical Society
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Surface and Thin Film Phenomena
- Physical Sciences › Materials Science › Materials Chemistry › 2D Materials and Applications
- Keywords
- Bi2Te3, topological surface states, hexagonal warping, surface states, local density of states, topological protection, band curvature, angle-resolved photoemission
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