Topological surface states protected from backscattering by chiral spin texture
Open accessAbstract
Topological insulators are a new class of insulators in which a bulk gap for electronic excitations is generated because of the strong spin-orbit coupling inherent to these systems. These materials are distinguished from ordinary insulators by the presence of gapless metallic surface states, resembling chiral edge modes in quantum Hall systems, but with unconventional spin textures. A key predicted feature of such spin-textured boundary states is their insensitivity to spin-independent scattering, which is thought to protect them from backscattering and localization. Recently, experimental and theoretical efforts have provided strong evidence for the existence of both two- and three-dimensional classes of such topological insulator materials in semiconductor quantum well structures and several bismuth-based compounds, but so far experiments have not probed the sensitivity of these chiral states to scattering. Here we use scanning tunnelling spectroscopy and angle-resolved photoemission spectroscopy to visualize the gapless surface states in the three-dimensional topological insulator Bi(1-x)Sb(x), and examine in detail the influence of scattering from disorder caused by random alloying in this compound. We show that, despite strong atomic scale disorder, backscattering between states of opposite momentum and opposite spin is absent. Our observations demonstrate that the chiral nature of these states protects the spin of the carriers. These chiral states are therefore potentially useful for spin-based electronics, in which long spin coherence is critical, and also for quantum computing applications, where topological protection can enable fault-tolerant information processing.
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The chiral two-dimensional states are protected from spin-independent scattering.
“The fact that the chiral two-dimensional states are indeed protected from spin-independent scattering was established by Roushan et.al. (20) by combining results from scanning tunneling spectroscopy (STM/STS) and spinARPES on Bi 0 . 92 Sb 0 . 08 .”
From Three-Dimensional Topological Insulators (2011) · cites this paper as [20]
Despite strong atomic scale disorder and random potential, elastic-backscattering between states of opposite momentum and opposite spin is absent.
“The results show that despite strong atomic scale disorder and random potential, elastic-backscattering between states of opposite momentum and opposite spin is absent.”
From Three-Dimensional Topological Insulators (2011) · cites this paper as [20]
Most observed features in the interference pattern, including the extinction of wave vector q3, have been explained by a full theoretical treatment based on the T-matrix approach for multiband systems.
“Most of the observed features in the interference pattern, including the extinction of wave vector ⃗ q 3 , have been recently well explained by a full theoretical treatment [27] based on the T-matrix approach for multiband systems [28].”
From Experimental Demonstration of Topological Surface States Protected by Time-Reversal Symmetry (2009) · cites this paper as [27]
The helical spin texture has been calculated from ab initio methods and observed in spin-resolved ARPES measurements.
“The helical spin texture has also been calculated from ab initio method[45] and already observed in the pioneering spinresolved APRES measurement[18].”
From Model Hamiltonian for topological insulators (2010) · cites this paper as [18]
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Cites
Spintronics: A Spin-Based Electronics Vision for the Future
Wolf, S. A., Awschalom, D. D., Buhrman, R. A., Daughton, J. M., von Molnár, S., Roukes, M. L., Chtchelkanova, A., & Treger, D. M. (2001) · Science · doi:10.1126/science.1065389 · Cited by 11,464 · see citing works
Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
Bernevig, B. A., Hughes, T. L., & Zhang, S.-C. (2006) · Science · doi:10.1126/science.1133734 · Cited by 7,090 · see citing works
Kane, C. L., & Mele, E. J. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.146802 · Cited by 6,460 · see citing works
Topological insulators in Bi2Se3, Bi2Te3 and Sb2Te3 with a single Dirac cone on the surface
Zhang, H., Liu, C.-X., Qi, X.-L., Dai, X., Fang, Z., & Zhang, S.-C. (2009) · Nature Physics · doi:10.1038/nphys1270 · Cited by 6,359 · see citing works
Quantum Spin Hall Insulator State in HgTe Quantum Wells
König, M., Wiedmann, S., Brüne, C., Roth, A., Buhmann, H., Molenkamp, L. W., Qi, X.-L., & Zhang, S.-C. (2007) · Science · doi:10.1126/science.1148047 · Cited by 6,151 · see citing works
Superconducting Proximity Effect and Majorana Fermions at the Surface of a Topological Insulator
Fu, L., & Kane, C. L. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.096407 · Cited by 4,868 · see citing works
Topological Insulators in Three Dimensions
Fu, L., Kane, C. L., & Mele, E. J. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.106803 · Cited by 4,651 · see citing works
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
A topological Dirac insulator in a quantum spin Hall phase
Hsieh, D., Qian, D., Wray, L., Xia, Y., Hor, Y. S., Cava, R. J., & Hasan, M. Z. (2008) · Nature · doi:10.1038/nature06843 · Cited by 3,523 · see citing works
Self-citationTopological invariants of time-reversal-invariant band structures
Moore, J. E., & Balents, L. (2007) · Physical Review B · doi:10.1103/physrevb.75.121306 · Cited by 2,350 · see citing works
Bernevig, B. A., & Zhang, S.-C. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.106802 · Cited by 2,164 · 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
Self-citationLaShell, S., McDougall, B. A., & Jensen, E. (1996) · Physical Review Letters · doi:10.1103/physrevlett.77.3419 · Cited by 1,079 · see citing works
Teo, J. C. Y., Fu, L., & Kane, C. L. (2008) · Physical Review B · doi:10.1103/physrevb.78.045426 · Cited by 761 · see citing works
Scattering and Interference in Epitaxial Graphene
Rutter, G. M., Crain, J. N., Guisinger, N. P., Li, T., First, P. N., & Stroscio, J. A. (2007) · Science · doi:10.1126/science.1142882 · Cited by 733 · see citing works
Imaging Quasiparticle Interference in Bi 2 Sr 2 CaCu 2 O 8+δ
Hoffman, J. E., McElroy, K., Lee, D. H., Lang, K. M., Eisaki, H., Uchida, S., & Davis, J. C. (2002) · Science · doi:10.1126/science.1072640 · Cited by 614 · see citing works
A simple tight-binding model of spin–orbit splitting of sp-derived surface states
Petersen, L., & Hedegård, P. (2000) · Surface Science · doi:10.1016/s0039-6028(00)00441-6 · Cited by 383 · see citing works
Observation of Berry's Phase in a Solid-State Qubit
Leek, P., Fink, J. M., Blais, A., Bianchetti, R., Göppl, M., Gambetta, J., Schuster, D., Frunzio, L., Schoelkopf, R. J., & Wallraff, A. J. (2007) · Science · doi:10.1126/science.1149858 · Cited by 378 · see citing works
Quasiparticle scattering interference in high-temperature superconductors
Wang, Q.-H., & Lee, D. (2003) · Physical review. B, Condensed matter · doi:10.1103/physrevb.67.020511 · Cited by 315 · see citing works
Roy, R. (2009) · Physical Review B · doi:10.1103/physrevb.79.195321 · Cited by 299 · see citing works
Quantum Spin Hall Insulator State in HgTe Quantum Wells
Ep, I., & Huang, U. (2007) · Cited by 179 · see citing works
Quasiparticle Chirality in Epitaxial Graphene Probed at the Nanometer Scale
Brihuega, I., Mallet, P., Cristina Bena, B., Bose, S., Michaelis, C. H., Vitali, L., Varchon, F., Magaud, L., Kern, K., & Veuillen, J. ‐. (2008) · Physical Review Letters · doi:10.1103/physrevlett.101.206802 · Cited by 170 · see citing works
Direct imaging of the two-dimensional Fermi contour: Fourier-transform STM
Petersen, L., Sprunger, P. T., Hofmann, P., Lægsgaard, E., Briner, B. G., Doering, M., Rust, H. ‐., Bradshaw, A. M., Besenbacher, F., & Plummer, E. W. (1998) · Physical review. B, Condensed matter · doi:10.1103/physrevb.57.r6858 · Cited by 166 · 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
Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
Zhang, S., Bernevig, B. A., & Hughes, T. L. (2007) · Bulletin of the American Physical Society · Cited by 110 · see citing works
McElroy, K., Gweon, G.-H., Zhou, S., Graf, J., Uchida, S., Eisaki, H., Takagi, H., Sasagawa, T., Lee, D. H., & Lanzara, A. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.067005 · Cited by 57 · see citing works
Bridging k and q space in the cuprates: Comparing angle-resolved photoemission and STM results
Markiewicz, R. S. (2004) · Physical Review B · doi:10.1103/physrevb.69.214517 · Cited by 44 · see citing works
Evidence against a charge density wave on Bi(111)
Kim, T. K., Wells, J. W., Kirkegaard, C., Li, Z., Hoffmann, S. V., Gayone, J. E., Fernández-Torrente, I., Häberle, P., Pascual, J. I., Moore, K. T., et al. (2005) · Physical Review B · doi:10.1103/physrevb.72.085440 · Cited by 37 · see citing works
Topological Insulators at Room Temperature
Zhang, H. (2010) · doi:10.2172/974186 · Cited by 4 · see citing works
Flagged first, then by citations
Research works printed but not linked: 1
- [5]5. Roy, R. On the Z2 classification of quantum spin Hall models. Preprint at < http://arxiv.org/abs/cond-mat/0604211v2> (2006). · arXiv
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Sorted by citations
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Hasan, M. Z., & Kane, C. L. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.3045 · Cited by 19,930 · see citing works
Self-citationTopological 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
Progress, Challenges, and Opportunities in Two-Dimensional Materials Beyond Graphene
Butler, S., Hollen, S., Cao, L., Cui, Y., Gupta, J., Gutiérrez, H. R., Heinz, T. F., Hong, S. S., Huang, J., Ismach, A. F., et al. (2013) · ACS Nano · doi:10.1021/nn400280c · Cited by 4,864 · see citing works
The birth of topological insulators
Moore, J. E. (2010) · Nature · doi:10.1038/nature08916 · Cited by 3,232 · see citing works
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New perspectives for Rashba spin–orbit coupling
Manchon, A., Koo, H. C., Nitta, J., Frolov, S., & Duine, R. A. (2015) · Nature Materials · doi:10.1038/nmat4360 · Cited by 2,111 · see citing works
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Ando, Y. (2013) · Journal of the Physical Society of Japan · doi:10.7566/jpsj.82.102001 · Cited by 1,789 · see citing works
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Bansil, A., Lin, H., & Das, T. (2016) · Reviews of Modern Physics · doi:10.1103/revmodphys.88.021004 · Cited by 1,587 · see citing works
Wehling, T. O., Black‐Schaffer, A. M., & Balatsky, A. V. (2014) · Advances In Physics · doi:10.1080/00018732.2014.927109 · Cited by 953 · see citing works
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Naaman, R., Paltiel, Y., & Waldeck, D. H. (2019) · Nature Reviews Chemistry · doi:10.1038/s41570-019-0087-1 · Cited by 934 · see citing works
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Liu, C.-X., Qi, X.-L., Zhang, H., Dai, X., Fang, Z., & Zhang, S.-C. (2010) · Physical Review B · doi:10.1103/physrevb.82.045122 · Cited by 923 · see citing works
Yu, R., Qi, X. L., Bernevig, B. A., Fang, Z., & Dai, X. (2011) · Physical Review B · doi:10.1103/physrevb.84.075119 · Cited by 869 · see citing works
Quantum Oscillations and Hall Anomaly of Surface States in the Topological Insulator Bi 2 Te 3
Qu, D., Hor, Y. S., Xiong, J., Cava, R. J., & Ong, N. P. (2010) · Science · doi:10.1126/science.1189792 · Cited by 857 · see citing works
Self-citationTopological defects and gapless modes in insulators and superconductors
Teo, J. C. Y., & Kane, C. L. (2010) · Physical Review B · doi:10.1103/physrevb.82.115120 · Cited by 789 · see citing works
Experimental Demonstration of Topological Surface States Protected by Time-Reversal Symmetry
Zhang, T., Cheng, P., Chen, X., Jia, J.-F., Ma, X., He, K., Wang, L., Zhang, H., Dai, X., Fang, Z., et al. (2009) · Physical Review Letters · doi:10.1103/physrevlett.103.266803 · Cited by 744 · see citing works
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Self-citationControl over topological insulator photocurrents with light polarization
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Self-citationGate-Voltage Control of Chemical Potential and Weak Antilocalization in Bi2Se3
Chen, J., Qin, H. J., Yang, F., Liu, J., Guan, T., Qu, F., Zhang, G. H., Shi, J., Xie, X., Yang, C. L., et al. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.176602 · Cited by 636 · see citing works
A topological insulator surface under strong Coulomb, magnetic and disorder perturbations
Wray, L. A., Xu, S.-Y., Xia, Y., Hsieh, D., Fedorov, A. V., Hor, Y. S., Cava, R. J., Bansil, A., Lin, H., & Hasan, M. Z. (2011) · Nature Physics · doi:10.1038/nphys1838 · Cited by 581 · see citing works
Self-citationAngle-resolved photoemission studies of quantum materials
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Alpichshev, Z., Analytis, J. G., Chu, J.-H., Fisher, I. R., Chen, Y. L., Shen, Z. X., Fang, A., & Kapitulnik, A. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.016401 · Cited by 539 · see citing works
Shahbazi, M., Faghfouri, L., Ferreira, M. P. A., Figueiredo, P., Maleki, H. H., Sefat, F., Hirvonen, J. J., & Santos, H. A. (2020) · Chemical Society Reviews · doi:10.1039/c9cs00283a · Cited by 527 · 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
Lu, Y.-M., & Vishwanath, A. (2012) · Physical Review B · doi:10.1103/physrevb.86.125119 · Cited by 512 · see citing works
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Sie, E. J., Nyby, C. M., Pemmaraju, C. D., Park, S., Shen, X., Yang, J., Hoffmann, M. C., Ofori-Okai, B. K., Li, R., Reid, A. H., et al. (2018) · Nature · doi:10.1038/s41586-018-0809-4 · Cited by 488 · see citing works
Direct visualization of current-induced spin accumulation in topological insulators
Liu, Y., Besbas, J., Wang, Y., He, P., Chen, M., Zhu, D., Wu, Y., Lee, J. M., Wang, L., Moon, J., et al. (2018) · Nature Communications · doi:10.1038/s41467-018-04939-6 · Cited by 507 · see citing works
Coexistence of the topological state and a two-dimensional electron gas on the surface of Bi2Se3
Bianchi, M., Guan, D., Bao, S., Mi, J., Iversen, B. B., King, P. D. C., & Hofmann, P. (2010) · Nature Communications · doi:10.1038/ncomms1131 · Cited by 476 · see citing works
Analytis, J. G., Chu, J., Chen, Y., Corredor, F., McDonald, R., Shen, Z., & Fisher, I. R. (2010) · Physical Review B · doi:10.1103/physrevb.81.205407 · Cited by 467 · see citing works
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Butch, N. P., Kirshenbaum, K. C., Syers, P., Sushkov, A. B., Jenkins, G. S., Drew, H. D., & Paglione, J. (2010) · Physical Review B · doi:10.1103/physrevb.81.241301 · Cited by 421 · see citing works
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Moll, P. J. W., Nair, N. L., Helm, T., Potter, A. C., Kimchi, I., Vishwanath, A., & Analytis, J. G. (2016) · Nature · doi:10.1038/nature18276 · Cited by 383 · see citing works
Sobota, J. A., Yang, S., Analytis, J. G., Chen, Y., Fisher, I. R., Kirchmann, P. S., & Shen, Z. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.117403 · Cited by 371 · see citing works
Tunable Dirac cone in the topological insulator Bi2-xSbxTe3-ySey
Arakane, T., Sato, T., Souma, S., Kosaka, K., Nakayama, K., Komatsu, M., Takahashi, T., Ren, Z., Segawa, K., & Ando, Y. (2012) · Nature Communications · doi:10.1038/ncomms1639 · Cited by 372 · see citing works
Poncé, S., Li, W., Reichardt, S., & Giustino, F. (2020) · Reports on Progress in Physics · doi:10.1088/1361-6633/ab6a43 · Cited by 363 · see citing works
Thickness-Independent Transport Channels in Topological Insulator Bi2Se3 Thin Films
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Liu, M., Zhang, J., Chang, C., Zhang, Z., Feng, X., Li, K., He, K., Wang, L.-L., Chen, X., Dai, X., et al. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.036805 · Cited by 360 · see citing works
Big–deep–smart data in imaging for guiding materials design
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Spatial fluctuations of helical Dirac fermions on the surface of topological insulators
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Self-citationElectrically tunable surface-to-bulk coherent coupling in topological insulator thin films
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Semimetals for high-performance photodetection
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Surface Hall Effect and Nonlocal Transport in SmB6: Evidence for Surface Conduction
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Topological insulators and Mott physics from the Hubbard interaction
Rachel, S., & Hur, K. L. (2010) · Physical Review B · doi:10.1103/physrevb.82.075106 · Cited by 305 · see citing works
Surface State Transport and Ambipolar Electric Field Effect in Bi2Se3 Nanodevices
Steinberg, H., Gardner, D., Lee, Y. S., & Jarillo‐Herrero, P. (2010) · Nano Letters · doi:10.1021/nl1032183 · Cited by 304 · see citing works
Momentum-resolved Landau-level spectroscopy of Dirac surface state in Bi2Se3
Hanaguri, T., Igarashi, K., Kawamura, M., Takagi, H., & Sasagawa, T. (2010) · Physical Review B · doi:10.1103/physrevb.82.081305 · Cited by 269 · see citing works
Room Temperature Giant and Linear Magnetoresistance in Topological Insulator Bi2Te3 Nanosheets
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Topological insulator: Spintronics and quantum computations
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Opportunities in chemistry and materials science for topological insulators and their nanostructures
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Liu, M., Chang, C., Zhang, Z., Zhang, Y., Ruan, W., He, K., Wang, L., Chen, X., Jin-Feng, J., Zhang, S., et al. (2011) · Physical Review B · doi:10.1103/physrevb.83.165440 · Cited by 250 · see citing works
Tunable surface conductivity in Bi 2 Se 3 revealed in diffusive electron transport
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Hong, S. S., Cha, J. J., Kong, D., & Cui, Y. (2012) · Nature Communications · doi:10.1038/ncomms1771 · Cited by 232 · see citing works
Aguilar, R. V., Stier, A. V., Liu, W., Bilbro, L. S., George, D., Bansal, N., Wu, L., Černe, J., Markelz, A. G., Oh, S., et al. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.087403 · Cited by 231 · see citing works
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Jiang, Y., Wang, Y., Chen, M., Li, Z., Song, C., He, K., Wang, L., Chen, X., Ma, X.-C., & Xue, Q. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.016401 · Cited by 230 · see citing works
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Stanescu, T. D., Sau, J. D., Lutchyn, R. M., & Sarma, S. D. (2010) · Physical Review B · doi:10.1103/physrevb.81.241310 · Cited by 216 · see citing works
Production of large-area 2D materials for high-performance photodetectors by pulsed-laser deposition
Yao, J., Zheng, Z., & Yang, G. (2019) · Progress in Materials Science · doi:10.1016/j.pmatsci.2019.100573 · Cited by 220 · see citing works
Transmission of topological surface states through surface barriers
Seo, J., Roushan, P., Beidenkopf, H., Hor, Y. S., Cava, R. J., & Yazdani, A. (2010) · Nature · doi:10.1038/nature09189 · Cited by 217 · see citing works
Self-citationWeak localization of bulk channels in topological insulator thin films
Lu, H., & Shen, S.-Q. (2011) · Physical Review B · doi:10.1103/physrevb.84.125138 · Cited by 217 · see citing works
Lin, Y., Lin, S.-F., Chi, Y., Wu, C., Cheng, C., Tseng, W., He, J., Wu, C., Lee, C.-K., & Lin, G. (2015) · ACS Photonics · doi:10.1021/acsphotonics.5b00031 · Cited by 213 · see citing works
Quantum materials for spin and charge conversion
Han, W., Otani, Y., & Maekawa, S. (2018) · npj Quantum Materials · doi:10.1038/s41535-018-0100-9 · Cited by 212 · see citing works
Topological surface states and Dirac point tuning in ternary topological insulators
Neupane, M., Xu, S., Wray, L. A., Petersen, A., Shankar, R., Alidoust, N., Liu, C., Fedorov, A. V., Ji, H., Allred, J. M., et al. (2012) · Physical Review B · doi:10.1103/physrevb.85.235406 · Cited by 210 · see citing works
Self-citation(2012) · doi:10.1103/physrevlett.109.186403 · Cited by 211 · see citing works
Self-citationWeak Anti-localization and Quantum Oscillations of Surface States in Topological Insulator Bi2Se2Te
Bao, L., He, L., Meyer, N., Kou, X., Zhang, P., Chen, Z., Fedorov, A. V., Zou, J., Riedemann, T., Lograsso, T. A., et al. (2012) · Scientific Reports · doi:10.1038/srep00726 · Cited by 204 · see citing works
Topological materials discovery from crystal symmetry
Wieder, B. J., Bradlyn, B., Cano, J., Wang, Z., Vergniory, M. G., Elcoro, L., Soluyanov, A. A., Felser, C., Neupert, T., Regnault, N., et al. (2021) · Nature Reviews Materials · doi:10.1038/s41578-021-00380-2 · Cited by 209 · see citing works
Rashba Spin-Splitting Control at the Surface of the Topological Insulator Bi2Se3
Zhu, Z., Levy, G., Ludbrook, B. M., Veenstra, C. N., Rosen, J. A., Comin, R., Wong, D., Dosanjh, P., Ubaldini, A., Syers, P., et al. (2011) · Physical Review Letters · doi:10.1103/physrevlett.107.186405 · Cited by 206 · see citing works
Valla, T., Pan, Z.-H., Gardner, D., Lee, Y. S., & Chu, S. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.117601 · Cited by 205 · see citing works
Eto, K., Ren, Z., Taskin, A. A., Segawa, K., & Ando, Y. (2010) · Physical Review B · doi:10.1103/physrevb.81.195309 · Cited by 200 · see citing works
Souma, S., Kosaka, K., Sato, T., Komatsu, M., Takayama, A., Takahashi, T., Kriener, M., Segawa, K., & Ando, Y. (2011) · Physical Review Letters · doi:10.1103/physrevlett.106.216803 · Cited by 198 · see citing works
Disordered topological insulators: a non-commutative geometry perspective
Prodan, E. V. (2011) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/44/11/113001 · Cited by 198 · see citing works
Cubic Topological Kondo Insulators
Alexandrov, V., Dzero, M., & Coleman, P. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.226403 · Cited by 194 · see citing works
Xiong, J., Luo, Y., Khoo, Y., Jia, S., Cava, R. J., & Ong, N. P. (2012) · Physical Review B · doi:10.1103/physrevb.86.045314 · Cited by 196 · see citing works
Self-citationPhotoelectron spin-flipping and texture manipulation in a topological insulator
Jozwiak, C. M., Park, C.-H., Gotlieb, K., Hwang, C., Lee, D. H., Louie, S. G., Denlinger, J. D., Rotundu, C. R., Birgeneau, R. J., Hussain, Z., et al. (2013) · Nature Physics · doi:10.1038/nphys2572 · Cited by 196 · see citing works
Sessi, P., Fan, F., Küster, F., Manna, K., Schröter, N. B. M., Ji, J., Stolz, S., Krieger, J. A., Pei, D., Kim, T. K., et al. (2020) · RePEc: Research Papers in Economics · doi:10.3929/ethz-b-000428117 · Cited by 196 · 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
Self-citationSpectroscopic scanning tunneling microscopy insights into Fe-based superconductors
Hoffman, J. E. (2011) · Reports on Progress in Physics · doi:10.1088/0034-4885/74/12/124513 · Cited by 193 · see citing works
Liu, P., Williams, J. R., & Cha, J. J. (2019) · Nature Reviews Materials · doi:10.1038/s41578-019-0113-4 · Cited by 190 · see citing works
Advances of 2D bismuth in energy sciences
Liu, X., Zhang, S., Guo, S., Cai, B., Yang, S. A., Shan, F., Pumera, M., & Zeng, H. (2019) · Chemical Society Reviews · doi:10.1039/c9cs00551j · Cited by 192 · see citing works
Topological insulator Bi2Se3 thin films grown on double-layer graphene by molecular beam epitaxy
Song, C.-L., Wang, Y.-L., Jiang, Y.-P., Zhang, Y., Chang, C., Wang, L., He, K., Chen, X., Jia, J.-F., Wang, Y., et al. (2010) · Applied Physics Letters · doi:10.1063/1.3494595 · Cited by 182 · see citing works
Surface-Dominated Conduction in a 6 nm thick Bi2Se3 Thin Film
He, L., Xiu, F., Yu, X., Teague, M. L., Wanjun, J., Fan, Y., Kou, X., Lang, M., Wang, Y., Huang, G., et al. (2012) · Nano Letters · doi:10.1021/nl204234j · Cited by 180 · see citing works
Chen, K., He, S., Weng, H., Zhang, W., Zhao, L., Liu, H., Jia, X., Mou, D., Liu, S., He, J.-F., et al. (2012) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1115555109 · Cited by 183 · see citing works
Superconducting topological surface states in the noncentrosymmetric bulk superconductor PbTaSe 2
Guan, S., Chen, P., Chu, M., Sankar, R., Chou, F. C., Jeng, H., Chang, C.-S., & Chuang, T.-M. (2016) · Science Advances · doi:10.1126/sciadv.1600894 · Cited by 181 · see citing works
Two-dimensional surface charge transport in topological insulators
Culcer, D., Hwang, E. H., Stanescu, T. D., & Sarma, S. D. (2010) · Physical Review B · doi:10.1103/physrevb.82.155457 · Cited by 183 · see citing works
Particle-hole symmetry and interaction effects in the Kane-Mele-Hubbard model
Zheng, D., Zhang, G.-M., & Wu, C. (2011) · Physical Review B · doi:10.1103/physrevb.84.205121 · Cited by 185 · see citing works
Quantum oscillations in a topological insulator Bi2Te2Se with large bulk resistivity ()
Xiong, J., Petersen, A. C., Qu, D., Hor, Y. S., Cava, R. J., & Ong, N. P. (2011) · Physica E Low-dimensional Systems and Nanostructures · doi:10.1016/j.physe.2011.09.011 · Cited by 187 · see citing works
Self-citationQuantum interference and Aharonov–Bohm oscillations in topological insulators
Bardarson, J. H., & Moore, J. E. (2013) · Reports on Progress in Physics · doi:10.1088/0034-4885/76/5/056501 · Cited by 177 · see citing works
Wang, E., Ding, H., Fedorov, A. V., Yao, W., Li, Z., Lv, Y.-F., Zhao, K. Y., Zhang, L., Xu, Z., Schneeloch, J. A., et al. (2013) · Nature Physics · doi:10.1038/nphys2744 · Cited by 177 · see citing works
Surface states of topological insulators
Zhang, F., Kane, C. L., & Melé, E. J. (2012) · Physical Review B · doi:10.1103/physrevb.86.081303 · Cited by 176 · see citing works
Topological surface states in nodal superconductors
Schnyder, A. P., & Brydon, P. M. R. (2015) · Journal of Physics: Condensed Matter · doi:10.1088/0953-8984/27/24/243201 · Cited by 176 · see citing works
Insulating Behavior in Ultrathin Bismuth Selenide Field Effect Transistors
Cho, S., Butch, N. P., Paglione, J., & Fuhrer, M. S. (2011) · Nano Letters · doi:10.1021/nl200017f · Cited by 170 · see citing works
Ferromagnetism in thin-film Cr-doped topological insulator Bi2Se3
Haazen, P. P. J., Laloë, J.-B., Nummy, T., Swagten, H. J. M., Jarillo‐Herrero, P., Heiman, D., & Moodera, J. S. (2012) · Applied Physics Letters · doi:10.1063/1.3688043 · Cited by 173 · see citing works
Pan, Z.-H., Fedorov, A. V., Gardner, D., Lee, Y. S., Chu, S., & Valla, T. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.187001 · Cited by 170 · see citing works
Zhang, F., Cheng, X., Yin, Z., Liu, C., Deng, L., Qiao, Y., Shi, Z., Zhang, S., Lin, J., Liu, Z., et al. (2025) · Nature Physics · doi:10.1038/s41567-025-02864-2 · Cited by 168 · see citing works
Chiral Orbital-Angular Momentum in the Surface States of Bi 2 Se 3
Park, S. R., Han, J., Kim, C., Koh, Y. Y., Kim, C., Lee, H., Choi, H. J., Han, J. H., Lee, K. D., Hur, N. J., et al. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.046805 · Cited by 164 · see citing works
- Authors
- Roushan, P., Seo, J., Parker, C. V., Hor, Y. S., Hsieh, D., Qian, D., Richardella, A., Hasan, M. Z., Cava, R. J., & Yazdani, A.
- Affiliations
- Princeton University (US)
- Corresponding author
- Yazdani, Ali
- ORCID
- Venue
- Nature
- Published
- 2009-08
- Volume
- 460
- Issue
- 7259
- Pages
- 1106-1109
- ISSN
- 0028-0836 (ISSN-L)
- 1476-4687
- OpenAlex
- W2080500375
- Cited by
- 1,052
- References
- 31
- Citations by year
- 2026: 35 · 2025: 33 · 2024: 35 · 2023: 39 · 2022: 53 · 2021: 48 · 2020: 54 · 2019: 53 · 2018: 63 · 2017: 73 · 2016: 75 · 2015: 83 · 2014: 73 · 2013: 95 · 2012: 102
- FWCI
- 44.35
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Nature (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CaltechAUTHORS (California Institute of Technology) (submittedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- DORA PSI (Paul Scherrer Institute) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Princeton Center for Complex Materials
- 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 › Magnetic properties of thin films
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Advanced Condensed Matter Physics
- Keywords
- topological insulators, chiral surface states, spin-orbit coupling, spin textures, Bi1-xSbx, spintronics, quantum Hall edge states, three-dimensional topological insulators, scanning tunneling spectroscopy, angle-resolved photoemission, surface states
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