Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Evidence for a Magnetic-Field-Induced Ideal Type-II Weyl State in Antiferromagnetic Topological Insulator Mn(Bi1−xSbx)2Te4

Seng Huat Lee1,2, David Graf3,*, Lujin Min2,4, Yanglin Zhu1,2, Hemian Yi2, Samuel Ciocys5, Yuanxi Wang1,2, Eun Sang Choi3, Rabindra Basnet6 et al.

Arash Fereidouni6, Aaron Wegner6, Yi-Fan Zhao2, Katrina Verlinde4, Jingyang He2,4, Ronald Redwing1,4, V. Gopalan4, Hugh O. H. Churchill6, Alessandra Lanzara5, Nitin Samarth1,2, Cui-Zu Chang2, Jin Hu6,†, and Z. Q. Mao1,2,4,‡

  • 12D Crystal Consortium, Materials Research Institute, The Pennsylvania State University, University Park, Pennsylvania 16802, USA
  • 2Department of Physics, The Pennsylvania State University, University Park, Pennsylvania 16802, USA
  • 3National High Magnetic Field Lab, Tallahassee, Florida 32310, USA
  • 4Department of Materials Science and Engineering, The Pennsylvania State University, University Park, Pennsylvania 16802, USA
  • 5Department of Physics, University of California, Berkeley, Berkeley, California 94720, USA
  • 6Department of Physics, University of Arkansas, Fayetteville, Arkansas 72701, USA

  • *graf@magnet.fsu.edu
  • †jinhu@uark.edu
  • ‡zim1@psu.edu

Phys. Rev. X 11, 031032 – Published 10 August, 2021

DOI: https://doi.org/10.1103/PhysRevX.11.031032

Abstract

The discovery of Weyl semimetals (WSMs) has fueled tremendous interest in condensed matter physics. The realization of WSMs requires the breaking of either inversion symmetry (IS) or time-reversal symmetry (TRS). WSMs can be categorized into type-I and type-II WSMs, which are characterized by untilted and strongly tilted Weyl cones, respectively. Type-I WSMs with breaking of either IS or TRS and type-II WSMs with solely broken IS have been realized experimentally, but a TRS-breaking type-II WSM still remains elusive. In this article, we report transport evidence for a TRS-breaking type-II WSM observed in the intrinsic antiferromagnetic topological insulator Mn(Bi1−xSbx)2Te4 under magnetic fields. This state is manifested by the electronic structure transition caused by the spin-flop transition. The transition results in an intrinsic anomalous Hall effect and negative c-axis longitudinal magnetoresistance attributable to the chiral anomaly in the ferromagnetic phases of lightly hole-doped samples. Our results establish a promising platform for exploring the underlying physics of the long-sought, ideal TRS-breaking type-II WSM.

View figure in article

Physics Subject Headings (PhySH)

Popular Summary

Article Text

Supplemental Material

References (65)

  1. B. Yan and C. Felser, Topological Materials: Weyl Semimetals, Annu. Rev. Condens. Matter Phys. 8, 337 (2017).
  2. N. P. Armitage, E. J. Mele, and A. Vishwanath, Weyl and Dirac Semimetals in Three-Dimensional Solids, Rev. Mod. Phys. 90, 015001 (2018).
  3. A. Bernevig, H. Weng, Z. Fang, and X. Dai, Recent Progress in the Study of Topological Semimetals, J. Phys. Soc. Jpn. 87, 041001 (2018).
  4. G. Xu, H. Weng, Z. Wang, X. Dai, and Z. Fang, Chern Semimetal and the Quantized Anomalous Hall Effect in HgCr2Se4, Phys. Rev. Lett. 107, 186806 (2011).
  5. Q. Wang, Y. Xu, R. Lou, Z. Liu, M. Li, Y. Huang, D. Shen, H. Weng, S. Wang, and H. Lei, Large Intrinsic Anomalous Hall Effect in Half-Metallic Ferromagnet Co3Sn2S2 with Magnetic Weyl Fermions, Nat. Commun. 9, 3681 (2018).
  6. E. Liu et al., Giant Anomalous Hall Effect in a Ferromagnetic Kagome-Lattice Semimetal, Nat. Phys. 14, 1125 (2018).
  7. A. Sakai et al., Giant Anomalous Nernst Effect and Quantum-Critical Scaling in a Ferromagnetic Semimetal, Nat. Phys. 14, 1119 (2018).
  8. T. Suzuki, R. Chisnell, A. Devarakonda, Y. T. Liu, W. Feng, D. Xiao, J. W. Lynn, and J. G. Checkelsky, Large Anomalous Hall Effect in a Half-Heusler Antiferromagnet, Nat. Phys. 12, 1119 (2016).
  9. X. Wan, A. M. Turner, A. Vishwanath, and S. Y. Savrasov, Topological Semimetal and Fermi-Arc Surface States in the Electronic Structure of Pyrochlore Iridates, Phys. Rev. B 83, 205101 (2011).
  10. S.-Y. Xu et al., Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs, Science 349, 613 (2015).
  11. H. Weng, C. Fang, Z. Fang, B. A. Bernevig, and X. Dai, Weyl Semimetal Phase in Noncentrosymmetric Transition-Metal Monophosphides, Phys. Rev. X 5, 011029 (2015).
  12. A. C. Potter, I. Kimchi, and A. Vishwanath, Quantum Oscillations from Surface Fermi Arcs in Weyl and Dirac Semimetals, Nat. Commun. 5, 5161 (2014).
  13. P. J. W. Moll, N. L. Nair, T. Helm, A. C. Potter, I. Kimchi, A. Vishwanath, and J. G. Analytis, Transport Evidence for Fermi-Arc-Mediated Chirality Transfer in the Dirac Semimetal Cd3As2, Nature (London) 535, 266 (2016).
  14. C. Zhang et al., Quantum Hall Effect Based on Weyl Orbits in Cd3As2, Nature (London) 565, 331 (2019).
  15. J. Hu, S.-Y. Xu, N. Ni, and Z. Mao, Transport of Topological Semimetals, Annu. Rev. Mater. Res. 49, 207 (2019).
  16. B. Yang et al., Ideal Weyl Points and Helicoid Surface States in Artificial Photonic Crystal Structures, Science 359, 1013 (2018).
  17. S.-M. Huang et al., A Weyl Fermion Semimetal with Surface Fermi Arcs in the Transition Metal Monopnictide TaAs Class, Nat. Commun. 6, 7373 (2015).
  18. B. Q. Lv et al., Experimental Discovery of Weyl Semimetal TaAs, Phys. Rev. X 5, 031013 (2015).
  19. L. X. Yang et al., Weyl Semimetal Phase in the Non-centrosymmetric Compound TaAs, Nat. Phys. 11, 728 (2015).
  20. M. Hirschberger, S. Kushwaha, Z. Wang, Q. Gibson, S. Liang, C. A. Belvin, B. A. Bernevig, R. J. Cava, and N. P. Ong, The Chiral Anomaly and Thermopower of Weyl Fermions in the Half-Heusler GdPtBi, Nat. Mater. 15, 1161 (2016).
  21. Q. Xu, E. Liu, W. Shi, L. Muechler, J. Gayles, C. Felser, and Y. Sun, Topological Surface Fermi Arcs in the Magnetic Weyl Semimetal Co3Sn2S2, Phys. Rev. B 97, 235416 (2018).
  22. D. F. Liu et al., Magnetic Weyl Semimetal Phase in a Kagomé Crystal, Science 365, 1282 (2019).
  23. J.-X. Yin et al., Negative Flat Band Magnetism in a Spin–Orbit-Coupled Correlated Kagome Magnet, Nat. Phys. 15, 443 (2019).
  24. N. Morali, R. Batabyal, P. K. Nag, E. Liu, Q. Xu, Y. Sun, B. Yan, C. Felser, N. Avraham, and H. Beidenkopf, Fermi-Arc Diversity on Surface Terminations of the Magnetic Weyl Semimetal Co3Sn2S2, Science 365, 1286 (2019).
  25. Z. Wang, M. G. Vergniory, S. Kushwaha, M. Hirschberger, E. V. Chulkov, A. Ernst, N. P. Ong, R. J. Cava, and B. A. Bernevig, Time-Reversal-Breaking Weyl Fermions in Magnetic Heusler Alloys, Phys. Rev. Lett. 117, 236401 (2016).
  26. I. Belopolski et al., Discovery of Topological Weyl Fermion Lines and Drumhead Surface States in a Room Temperature Magnet, Science 365, 1278 (2019).
  27. A. A. Soluyanov, D. Gresch, Z. Wang, Q. Wu, M. Troyer, X. Dai, and B. A. Bernevig, Type-II Weyl Semimetals, Nature (London) 527, 495 (2015).
  28. I. Belopolski et al., Discovery of a New Type of Topological Weyl Fermion Semimetal State in MoxW1−xTe2, Nat. Commun. 7, 13643 (2016).
  29. L. Huang et al., Spectroscopic Evidence for a Type II Weyl Semimetallic State in MoTe2, Nat. Mater. 15, 1155 (2016).
  30. K. Deng et al., Experimental Observation of Topological Fermi Arcs in Type-II Weyl Semimetal MoTe2 Nat. Phys. 12, 1105 (2016).
  31. S.-Y. Xu et al., Discovery of Lorentz-Violating Type II Weyl Fermions in LaAlGe, Sci. Adv. 3, e1603266 (2017).
  32. K. Koepernik, D. Kasinathan, D. V. Efremov, S. Khim, S. Borisenko, B. Büchner, and J. van den Brink, TaIrTe4: A Ternary Type-II Weyl Semimetal, Phys. Rev. B 93, 201101(R) (2016).
  33. I. Belopolski et al., Signatures of a Time-Reversal Symmetric Weyl Semimetal with Only Four Weyl Points, Nat. Commun. 8, 942 (2017).
  34. S. Borisenko et al., Time-Reversal Symmetry Breaking Type-II Weyl State in YbMnBi2, Nat. Commun. 10, 3424 (2019).
  35. J.-R. Soh et al., Magnetic Structure and Excitations of the Topological Semimetal YbMnBi2, Phys. Rev. B 100, 144431 (2019).
  36. D. Zhang, M. Shi, T. Zhu, D. Xing, H. Zhang, and J. Wang, Topological Axion States in the Magnetic Insulator MnBi2Te4 with the Quantized Magnetoelectric Effect, Phys. Rev. Lett. 122, 206401 (2019).
  37. J. Li, Y. Li, S. Du, Z. Wang, B.-L. Gu, S.-C. Zhang, K. He, W. Duan, and Y. Xu, Intrinsic Magnetic Topological Insulators in van der Waals Layered MnBi2Te4-Family Materials, Sci. Adv. 5, eaaw5685 (2019).
  38. M. M. Otrokov et al., Prediction and Observation of an Antiferromagnetic Topological Insulator, Nature (London) 576, 416 (2019).
  39. Y. Deng, Y. Yu, M. Z. Shi, Z. Guo, Z. Xu, J. Wang, X. H. Chen, and Y. Zhang, Quantum Anomalous Hall Effect in Intrinsic Magnetic Topological Insulator MnBi2Te4, Science 367, 895 (2020).
  40. C. Liu, Y. Wang, H. Li, Y. Wu, Y. Li, J. Li, K. He, Y. Xu, J. Zhang, and Y. Wang, Robust Axion Insulator and Chern Insulator Phases in a Two-Dimensional Antiferromagnetic Topological Insulator, Nat. Mater. 19, 522 (2020).
  41. J. Ge, Y. Liu, J. Li, H. Li, T. Luo, Y. Wu, Y. Xu, and J. Wang, High-Chern-Number and High-Temperature Quantum Hall Effect without Landau Levels, Natl. Sci. Rev. 7, 1280 (2020).
  42. B. Chen et al., Intrinsic Magnetic Topological Insulator Phases in the Sb Doped MnBi2Te4 Bulks and Thin Flakes, Nat. Commun. 10, 4469 (2019).
  43. J. Q. Yan, S. Okamoto, M. A. McGuire, A. F. May, R. J. McQueeney, and B. C. Sales, Evolution of Structural, Magnetic, and Transport Properties in MnBi2−xSbxTe4, Phys. Rev. B 100, 104409 (2019).
  44. S. H. Lee et al., Spin Scattering and Noncollinear Spin Structure-Induced Intrinsic Anomalous Hall Effect in Antiferromagnetic Topological Insulator MnBi2Te4, Phys. Rev. Research 1, 012011(R) (2019).
  45. T. Murakami, Y. Nambu, T. Koretsune, G. Xiangyu, T. Yamamoto, C. M. Brown, and H. Kageyama, Realization of Interlayer Ferromagnetic Interaction in MnSb2Te4 toward the Magnetic Weyl Semimetal State, Phys. Rev. B 100, 195103 (2019).
  46. Y. Chen et al., Ferromagnetism in van der Waals Compound MnSb1.8Bi0.2Te4, Phys. Rev. Mater. 4, 064411 (2020).
  47. Y. Liu et al., Site Mixing for Engineering Magnetic Topological Insulators, Phys. Rev. X 11, 021033 (2021).
  48. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevX.11.031032 for a detailed description.
  49. S. Ciocys, T. Morimoto, J. E. Moore, and A. Lanzara, Tracking Surface Photovoltage Dipole Geometry in Bi2Se3 with Time-Resolved Photoemission, J. Stat. Mech. 2019, 104008 (2019).
  50. J. Q. Yan, Q. Zhang, T. Heitmann, Z. Huang, K. Y. Chen, J.-G. Cheng, W. Wu, D. Vaknin, B. C. Sales, and R. J. McQueeney, Crystal Growth and Magnetic Structure of MnBi2Te4, Phys. Rev. Mater. 3, 064202 (2019).
  51. A. A. Burkov, Anomalous Hall Effect in Weyl Metals, Phys. Rev. Lett. 113, 187202 (2014).
  52. Q. Jiang et al., Quantum Oscillations in the Field-Induced Ferromagnetic State of MnBi2−xSbxTe4, Phys. Rev. B 103, 205111 (2021).
  53. Y. Wang, Chemical Requirements for Stabilizing Type-II Weyl Points in MnBi2−xSbxTe4, arXiv:2103.12730.
  54. A. A. Zyuzin and R. P. Tiwari, Intrinsic Anomalous Hall Effect in Type-II Weyl Semimetals, JETP Lett. 103, 717 (2016).
  55. Y.-S. Jho and K.-S. Kim, Interplay between Interaction and Chiral Anomaly: Anisotropy in the Electrical Resistivity of Interacting Weyl Metals, Phys. Rev. B 87, 205133 (2013).
  56. D. T. Son and B. Z. Spivak, Chiral Anomaly and Classical Negative Magnetoresistance of Weyl Metals, Phys. Rev. B 88, 104412 (2013).
  57. J.-Z. Ma et al., Spin Fluctuation Induced Weyl Semimetal State in the Paramagnetic Phase of EuCd2As2, Sci. Adv. 5, eaaw4718 (2019).
  58. L.-L. Wang, N. H. Jo, B. Kuthanazhi, Y. Wu, R. J. McQueeney, A. Kaminski, and P. C. Canfield, Single Pair of Weyl Fermions in the Half-Metallic Semimetal EuCd2As2, Phys. Rev. B 99, 245147 (2019).
  59. J. R. Soh et al., Ideal Weyl Semimetal Induced by Magnetic Exchange, Phys. Rev. B 100, 201102(R) (2019).
  60. G. Kresse and J. Furthmüller, Efficient Iterative Schemes for Ab Initio Total-Energy Calculations Using a Plane-Wave Basis Set, Phys. Rev. B 54, 11169 (1996).
  61. J. P. Perdew, K. Burke, and M. Ernzerhof, Generalized Gradient Approximation Made Simple, Phys. Rev. Lett. 77, 3865 (1996).
  62. J. P. Perdew, K. Burke, and M. Ernzerhof, Phys. Rev. Lett. 78, 1396(E) (1997).
  63. S. L. Dudarev, G. A. Botton, S. Y. Savrasov, C. J. Humphreys, and A. P. Sutton, Electron-Energy-Loss Spectra and the Structural Stability of Nickel Oxide: An LSDA+U Study, Phys. Rev. B 57, 1505 (1998).
  64. D. Hobbs, G. Kresse, and J. Hafner, Fully Unconstrained Noncollinear Magnetism within the Projector Augmented-Wave Method, Phys. Rev. B 62, 11556 (2000).
  65. S. Grimme, J. Antony, S. Ehrlich, and H. Krieg, A Consistent and Accurate Ab Initio Parametrization of Density Functional Dispersion Correction (DFT-D) for the 94 Elements H-Pu, J. Chem. Phys. 132, 154104 (2010).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation