Nature

Observation of edge states derived from topological helix chains

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  • Qi, X.-L. & Zhang, S.-C. Topological insulators and superconductors. Rev. Mod. Phys. 83, 1057–1110 (2011).

    Article 
    ADS 
    CAS 

    Google Scholar
     

  • Hasan, M. Z. & Kane, C. L. Colloquium: topological insulators. Rev. Mod. Phys. 82, 3045–3067 (2010).

    Article 
    ADS 
    CAS 

    Google Scholar
     

  • Ando, Y. Topological insulator materials. J. Phys. Soc. Jpn 82, 102001 (2013).

    Article 
    ADS 

    Google Scholar
     

  • Su, W. P., Schrieffer, J. R. & Heeger, A. J. Solitons in polyacetylene. Phys. Rev. Lett. 42, 1698–1701 (1979).

    Article 
    ADS 
    CAS 

    Google Scholar
     

  • Su, W. P., Schrieffer, J. R. & Heeger, A. J. Soliton excitations in polyacetylene. Phys. Rev. B 22, 2099–2111 (1980).

    Article 
    ADS 
    CAS 

    Google Scholar
     

  • Heeger, A. J., Kivelson, S., Schrieffer, J. R. & Su, W.-P. Solitons in conducting polymers. Rev. Mod. Phys. 60, 781–850 (1988).

    Article 
    ADS 
    CAS 

    Google Scholar
     

  • Asbóth, J. K., Oroszlány, L. & Pályi, A. A Short Course on Topological Insulators: Band Structure and Edge States in One and Two Dimensions. Lecture Notes in Physics, Vol. 919 (Springer, 2016).

  • Guo, H. A brief review on one-dimensional topological insulators and superconductors. Sci. Chn. Phys. Mech. Astron. 59, 637401 (2016).

    Article 

    Google Scholar
     

  • Kłosiński, A. et al. Topology of chalcogen chains. Phys. Rev. B 107, 125123 (2023).

    Article 
    ADS 

    Google Scholar
     

  • Zhang, R. et al. Large shift current, π Zak phase, and the unconventional nature of Se and Te. Phys. Rev. Research 5, 023142 (2023).

    Article 
    ADS 
    CAS 

    Google Scholar
     

  • Hsieh, D. et al. A tunable topological insulator in the spin helical Dirac transport regime. Nature 460, 1101–1105 (2009).

    Article 
    ADS 
    CAS 
    PubMed 

    Google Scholar
     

  • Konig, M. et al. Quantum spin Hall insulator state in HgTe quantum wells. Science 318, 766–770 (2007).

    Article 
    ADS 
    PubMed 

    Google Scholar
     

  • Shi, B. et al. Phase transition and topological transistors based on monolayer Na3Bi nanoribbons. Nanoscale 13, 15048 (2021).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Wakatsuki, R., Ezawa, M., Tanaka, Y. & Nagaosa, N. Fermion fractionalization to Majorana fermions in a dimerized Kitaev superconductor. Phys. Rev. B 90, 014505 (2014).

    Article 
    ADS 
    CAS 

    Google Scholar
     

  • Malkova, N., Hromada, I., Wang, X., Bryant, G. & Chen, Z. Observation of optical Shockley-like surface states in photonic superlattices. Opt. Lett. 34, 1633–1635 (2009).

    Article 
    ADS 
    CAS 
    PubMed 

    Google Scholar
     

  • Atala, M. et al. Direct measurement of the Zak phase in topological Bloch bands. Nat. Phys. 9, 795–800 (2013).

    Article 
    CAS 

    Google Scholar
     

  • Cheon, S., Kim, T.-H., Lee, S.-H. & Yeom, H. W. Chiral solitons in a coupled double Peierls chain. Science 350, 182–185 (2015).

    Article 
    ADS 
    CAS 
    PubMed 

    Google Scholar
     

  • Drost, R., Teemu, O., Ari, H. & Peter, L. Topological states in engineered atomic lattices. Nat. Phys. 13, 668–671 (2017).

    Article 
    CAS 

    Google Scholar
     

  • Li, P., Sau, J. D. & Appelbaum, I. Robust zero-energy bound states in a helical lattice. Phys. Rev. B 96, 115446 (2017).

    Article 
    ADS 

    Google Scholar
     

  • Asnin, V. M. et al. “Circular” photogalvanic effect in optically active crystals. Solid State Commun. 30, 565–570 (1979).

    Article 
    ADS 
    CAS 

    Google Scholar
     

  • Vorob’ev, E. L. et al. Optical activity in tellurium induced by a current. JETP Lett. 29, 441–445 (1979).

    ADS 

    Google Scholar
     

  • Shalygin, V. A., Sofronov, A. N., Vorob’ev, L. E. & Farbshtein, I. I. Current-induced spin polarization of holes in tellurium. Phys. Solid State 54, 2362–2373 (2012).

    Article 
    ADS 
    CAS 

    Google Scholar
     

  • Yoda, T., Yokoyama, T. & Murakami, S. Current-induced Orbital and Spin Magnetizations in Crystals with Helical Structure. Sci Rep. 5, 12024 (2015).

    Article 
    ADS 
    PubMed 
    PubMed Central 

    Google Scholar
     

  • Furukawa, T., Shimokawa, Y., Kobayashi, K. & Itou, T. Observation of current-induced bulk magnetization in elemental tellurium. Nat. Commun. 8, 954 (2017).

    Article 
    ADS 
    PubMed 
    PubMed Central 

    Google Scholar
     

  • Tsirkin, S. S., Puente, P. A. & Souza, I. Gyrotropic effects in trigonal tellurium studied from first principles. Phys. Rev. B 97, 035158 (2018).

    Article 
    ADS 
    CAS 

    Google Scholar
     

  • Hirayama, M., Okugawa, R., Ishibashi, S., Murakami, S. & Miyake, T. Weyl node and spin texture in trigonal tellurium and selenium. Phys. Rev. Lett. 114, 206401 (2015).

    Article 
    ADS 
    PubMed 

    Google Scholar
     

  • Nakayama, K. et al. Band splitting and Weyl nodes in trigonal tellurium studied by angle-resolved photoemission spectroscopy and density functional theory. Phys. Rev. B 95, 125204 (2017).

    Article 
    ADS 

    Google Scholar
     

  • Sakano, M. et al. Radial spin texture in elemental tellurium with chiral crystal structure. Phys. Rev. Lett. 124, 136404 (2020).

    Article 
    ADS 
    CAS 
    PubMed 

    Google Scholar
     

  • Gatti, G. et al. Radial spin texture of the Weyl fermions in chiral tellurium. Phys. Rev. Lett. 125, 216402 (2020).

    Article 
    ADS 
    CAS 
    PubMed 

    Google Scholar
     

  • Qiu, G. et al. Quantum transport and band structure evolution under high magnetic field in few-layer tellurene. Nano Lett. 18, 5760–5767 (2018).

    Article 
    ADS 
    CAS 
    PubMed 

    Google Scholar
     

  • Qiu, G. et al. Quantum Hall effect of Weyl fermions in n-type semiconducting tellurene. Nat. Nanotechnol. 15, 585–591 (2020).

    Article 
    ADS 
    CAS 
    PubMed 

    Google Scholar
     

  • Zhang, N. et al. Magnetotransport signatures of Weyl physics and discrete scale invariance in the elemental semiconductor tellurium. Proc. Natl Acad. Sci. USA 117, 11337–11343 (2020).

    Article 
    ADS 
    CAS 
    PubMed 
    PubMed Central 

    Google Scholar
     

  • Ideue, T. et al. Pressure-induced topological phase transition in noncentrosymmetric elemental tellurium. Proc. Natl Acad. Sci. USA 116, 25530–25534 (2019).

    Article 
    ADS 
    CAS 
    PubMed 
    PubMed Central 

    Google Scholar
     

  • Chen, J. et al. Topological phase change transistors based on tellurium Weyl semiconductor. Sci. Adv. 8, eabn3837 (2022).

    Article 
    CAS 
    PubMed 
    PubMed Central 

    Google Scholar
     

  • Lau, A., van den Brink, J. & Ortix, C. Topological mirror insulators in one dimension. Phys. Rev. B 94, 165164 (2016).

    Article 
    ADS 

    Google Scholar
     

  • Li, P. & Appelbaum, I. Intrinsic two-dimensional states on the pristine surface of tellurium. Phys. Rev. B 97, 201402 (2018).

    Article 
    ADS 
    CAS 

    Google Scholar
     

  • Zak, J. Berry’s phase for energy bands in solids. Phys. Rev. Lett. 62, 2747–2750 (1989).

    Article 
    ADS 
    CAS 
    PubMed 

    Google Scholar
     

  • Takayama, A., Sato, T., Souma, S., Oguchi, T. & Takahashi, T. One-dimensional edge states with giant spin splitting in a bismuth thin film. Phys. Rev. Lett. 114, 066402 (2015).

    Article 
    ADS 
    CAS 
    PubMed 

    Google Scholar
     

  • Andersson, S., Andersson, D. & Marklund, I. Clean Te surfaces studied by LEED. Surf. Sci. 12, 284–298 (1968).

    Article 
    ADS 
    CAS 

    Google Scholar
     

  • Qin, J.-K. et al. Raman response and transport properties of tellurium atomic chains encapsulated in nanotubes. Nat. Electron. 3, 141–147 (2020).

    Article 
    CAS 

    Google Scholar
     

  • Jin, K.-H. & Liu, F. 1D topological phases in transition-metal monochalcogenide nanowires. Nanoscale 12, 14661–14667 (2020).

    Article 
    CAS 
    PubMed 

    Google Scholar
     

  • Liu, S., Yin, H., Singh, D. J. & Liu, P.-F. Ta4SiTe4: a possible one-dimensional topological insulator. Phys. Rev. B 105, 195419 (2022).

    Article 
    ADS 
    CAS 

    Google Scholar
     

  • Guo, H., Lin, Y. & Shen, S.-Q. Dimensional evolution between one- and two-dimensional topological phases. Phys. Rev. B 90, 085413 (2014).

    Article 
    ADS 

    Google Scholar
     

  • Nadj-Perge, S., Frolov, S. M., Bakkers, E. P. A. M. & Kouwenhoven, L. P. Spin–orbit qubit in a semiconductor nanowire. Nature 468, 1084–1087 (2010).

    Article 
    ADS 
    CAS 
    PubMed 

    Google Scholar
     

  • Tokuyama, A., Moriya, A. & Nakayama, K. Development of Ar gas cluster ion beam system for surface preparation in angle-resolved photoemission spectroscopy. Rev. Sci. Instrum. 94, 023904 (2023).

    Article 
    ADS 
    CAS 
    PubMed 

    Google Scholar
     

  • Momma, K. & Izumi, F. VESTA 3 for three-dimensional visualization of crystal, volumetric and morphology data. J. Appl. Crystallogr. 44, 1272–1276 (2011).

    Article 
    ADS 
    CAS 

    Google Scholar
     

  • El Azab, M., McLaughlin, C. R. & Champness, C. H. Preparation and characterization of tellurium surfaces. J. Cryst. Growth 28, 1–7 (1975).

    Article 
    ADS 
    CAS 

    Google Scholar
     

  • Kitamura, M. et al. Development of a versatile micro-focused angle-resolved photoemission spectroscopy system with Kirkpatrick–Baez mirror optics. Rev. Sci. Instrum. 93, 033906 (2022).

    Article 
    ADS 
    CAS 
    PubMed 

    Google Scholar
     

  • Souma, S., Takayama, A., Sugawara, K., Sato, T. & Takahashi, T. Ultrahigh-resolution spin-resolved photoemission spectrometer with a mini Mott detector. Rev. Sci. Instrum. 81, 095101 (2010).

    Article 
    ADS 
    CAS 
    PubMed 

    Google Scholar
     

  • Kresse, G. & Furthmüller, J. Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set. Phys. Rev. B 54, 11169–11186 (1996).

    Article 
    ADS 
    CAS 

    Google Scholar
     

  • Perdew, J. P., Burke, K. & Ernzerhof, M. Generalized gradient approximation made simple. Phys. Rev. Lett. 77, 3865–3868 (1996).

    Article 
    ADS 
    CAS 
    PubMed 

    Google Scholar
     

  • Wu, Q., Zhang, S., Song, H.-F., Troyer, M. & Soluyanov, A. A. WannierTools: an open-source software package for novel topological materials. Comput. Phys. Commun. 224, 405–416 (2018).

    Article 
    ADS 
    CAS 

    Google Scholar
     

  • Mostofi, A. A. et al. wannier90: a tool for obtaining maximally-localised Wannier functions. Comput. Phys. Commun. 178, 685–699 (2008).

    Article 
    ADS 
    CAS 

    Google Scholar
     

  • Aihara, Y., Hirayama, M. & Murakami, S. Anomalous dielectric response in insulators with the π Zak phase. Phys. Rev. Res. 2, 033224 (2020).

    Article 
    CAS 

    Google Scholar
     

  • King-Smith, R. D. & Vanderbilt, D. Theory of polarization of crystalline solids. Phys. Rev. B 47, 1651–1654(1993).

    Article 
    ADS 
    CAS 

    Google Scholar
     



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