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Topological transitions by magnetization rotation in kagome monolayers of ferromagnetic Weyl semimetal Co-based shandite

Published 26 Feb 2024 in cond-mat.str-el and cond-mat.mes-hall | (2402.16273v1)

Abstract: Co-based shandite Co$_3$Sn$_2$S$_2$ is a ferromagnet hosting Weyl fermions in the layered Co kagome structure. The band topology as well as the magnetism is predicted to vary drastically in the atomically thin films depending on the thickness and surface termination, and as an extreme case, the quantum anomalous Hall state is expected in a monolayer of the Co kagome lattice. Given that the bulk Weyl gap depends on the magnetization direction, here we theoretically study how the topological nature and transport properties vary with the magnetization direction in the systems with kagome monolayer with both Sn and S surface terminations. By using $ab \ initio$ calculations, we find that in the Sn-end monolayer the anomalous Hall conductivity shows successive discrete changes between different quantized values by rotating the magnetization, indicating several topological transitions between the anomalous quantum Hall insulators with different Chern numbers. Notably, when the magnetization is oriented in-plane and perpendicular to the Co-Co bond, the system exhibits a planar quantized anomalous Hall effect. We clarify that these peculiar behaviors are due to topological changes in the band structures associated with gap closing of the Weyl nodes. In contrast, the S-end monolayer shows rather continuous changes in the transport properties since the system is metallic, although the band structure contains many Weyl nodes. Our results pave the way for controlling Weyl fermions in atomically thin films of Co-based shandite, where the topological nature associated with the Weyl nodes appears more clearly than the bulk.

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References (45)
  1. N. P. Armitage, E. J. Mele, and A. Vishwanath, “Weyl and Dirac semimetals in three-dimensional solids,” Rev. Mod. Phys. 90, 015001 (2018).
  2. H. B. Nielsen and M. Ninomiya, “The Adler-Bell-Jackiw anomaly and Weyl fermions in a crystal,” Phys. Lett. B 130, 389 (1983).
  3. S. Murakami, “Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase,” New J. Phys. 9, 356 (2007).
  4. S.-Y. Xu, I. Belopolski, N. Alidoust, M. Neupane, G. Bian, C. Zhang, R. Sankar, G. Chang, Z. Yuan, C.-C. Lee, S.-M. Huang, H. Zheng, J. Ma, D. S. Sanchez, B. Wang, A. Bansil, F. Chou, P. P. Shibayev, H. Lin, S. Jia, and M. Z. Hasan, “Discovery of a Weyl fermion semimetal and topological Fermi arcs,” Science 349, 613 (2015).
  5. S. Souma, Zhiwei Wang, H. Kotaka, T. Sato, K. Nakayama, Y. Tanaka, H. Kimizuka, T. Takahashi, K. Yamauchi, T. Oguchi, K. Segawa, and Y. Ando, “Direct observation of nonequivalent Fermi-arc states of opposite surfaces in the noncentrosymmetric Weyl semimetal NbP,” Phys. Rev. B 93, 161112(R) (2016).
  6. A. A. Burkov, “Chiral anomaly and transport in Weyl metals,” J. Phys.: Condens. Matter 27, 113201 (2015).
  7. 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).
  8. A. Sakai, Y. P. Mizuta, A. A. Nugroho, R. Sihombing, T. Koretsune, M. Suzuki, N. Takemori, R. Ishii, D. Nishio-Hamane, R. Arita, P. Goswami and S. Nakatsuji, “Giant anomalous Nernst effect and quantum-critical scaling in a ferromagnetic semimetal,” Nat. Phys. 14, 1119 (2018).
  9. X. Huang, L. Zhao, Y. Long, P. Wang, D. Chen, Z. Yang, H. Liang, M. Xue, H. Weng, Z. Fang, X. Dai, and G. Chen, “Observation of the Chiral-Anomaly-Induced Negative Magnetoresistance in 3D Weyl Semimetal TaAs,” Phys. Rev. X 5, 031023 (2015).
  10. C.-L. Zhang, S.-Y. Xu, I. Belopolski, Z. Yuan, Z. Lin, B. Tong, G. Bian, N. Alidoust, C.-C. Lee, S.-M. Huang, T.-R. Chang, G. Chang, C.-H. Hsu, H.-T. Jeng, M. Neupane, D. S. Sanchez, H. Zheng, J. Wang, H. Lin, C. Zhang, H.-Z. Lu, S.-Q. Shen, T. Neupert, M. Z. Hasan, and S. Jia, “Signatures of the Adler–Bell–Jackiw chiral anomaly in a Weyl fermion semimetal,” Nat. Commun. 7, 10735 (2016).
  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. A. Soluyanov, D. Gresch, Z. Wang, Q.-S. Wu, M. Troyer, X. Dai, and B. A. Bernevig, “Type-II Weyl semimetals,” Nature 527, 495 (2015).
  13. B. Feng, Y.-H. Chan, Y. Feng, R.-Y. Liu, M.-Y. Chou, K. Kuroda, K. Yaji, A. Harasawa, P. Moras, A. Barinov, W. Malaeb, C. Bareille, T. Kondo, S. Shin, F. Komori, T.-C. Chiang, Y. Shi, and I. Matsuda, “Spin texture in type-II Weyl semimetal WTe22{}_{2}start_FLOATSUBSCRIPT 2 end_FLOATSUBSCRIPT,” Phys. Rev. B 94, 195134 (2016).
  14. X. G. 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).
  15. G. Xu, H. Weng, Z. Wang, X. Dai, and Z. Fang, “Chern Semimetal and the Quantized Anomalous Hall Effect in HgCr22{}_{2}start_FLOATSUBSCRIPT 2 end_FLOATSUBSCRIPTSe44{}_{4}start_FLOATSUBSCRIPT 4 end_FLOATSUBSCRIPT,” Phys. Rev. Lett. 107, 186806 (2011).
  16. J. Kübler and C. Felser, “Weyl points in the ferromagnetic Heusler compound Co22{}_{2}start_FLOATSUBSCRIPT 2 end_FLOATSUBSCRIPTMnAl,” Europhys. Lett. 114, 47005 (2016).
  17. 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 Co33{}_{3}start_FLOATSUBSCRIPT 3 end_FLOATSUBSCRIPTSn22{}_{2}start_FLOATSUBSCRIPT 2 end_FLOATSUBSCRIPTS22{}_{2}start_FLOATSUBSCRIPT 2 end_FLOATSUBSCRIPT with magnetic Weyl fermions,” Nat. Commun. 9, 3681 (2018).
  18. E. Liu, Y. Sun, N. Kumar, L. Muechler, A. Sun, L. Jiao, S.-Y. Yang, D. Liu, A. Liang, Q. Xu, J. Kroder, V. Süß, H. Borrmann, C. Shekhar, Z. Wang, C. Xi, W. Wang, W. Schnelle, S. Wirth, Y. Chen, S. T. B. Goennenwein, and C. Felser, “Giant anomalous Hall effect in a ferromagnetic kagome-lattice semimetal,” Nat. Phys. 14, 1125 (2018).
  19. S. N. Guin, P. Vir, Y. Zhang, N. Kumar, S. J. Watzman, C. Fu, E. Liu, K. Manna, W. Schnelle, J. Gooth, C. Shekhar, Y. Sun, and C. Felser, “Zero-Field Nernst Effect in a Ferromagnetic Kagome-Lattice Weyl-Semimetal Co33{}_{3}start_FLOATSUBSCRIPT 3 end_FLOATSUBSCRIPTSn22{}_{2}start_FLOATSUBSCRIPT 2 end_FLOATSUBSCRIPTS22{}_{2}start_FLOATSUBSCRIPT 2 end_FLOATSUBSCRIPT,” Adv. Mater. 31, 1806622 (2019).
  20. H. Yang, W. You, J. Wang, J. Huang, C. Xi, X. Xu, C. Cao, M. Tian, Z.-A. Xu, J. Dai, and Y. Li, “Giant anomalous Nernst effect in the magnetic Weyl semimetal Co33{}_{3}start_FLOATSUBSCRIPT 3 end_FLOATSUBSCRIPTSn22{}_{2}start_FLOATSUBSCRIPT 2 end_FLOATSUBSCRIPTS22{}_{2}start_FLOATSUBSCRIPT 2 end_FLOATSUBSCRIPT,” Phys. Rev. Mater. 4, 024202 (2020).
  21. Y. Yanagi, J. Ikeda, K. Fujiwara, K. Nomura, A. Tsukazaki, and M. T. Suzuki, “First-principles investigation of magnetic and transport properties in hole-doped shandite compounds Co33{}_{3}start_FLOATSUBSCRIPT 3 end_FLOATSUBSCRIPTInx𝑥{}_{x}start_FLOATSUBSCRIPT italic_x end_FLOATSUBSCRIPTSn2−x2𝑥{}_{2-x}start_FLOATSUBSCRIPT 2 - italic_x end_FLOATSUBSCRIPTS22{}_{2}start_FLOATSUBSCRIPT 2 end_FLOATSUBSCRIPT,” Phys. Rev. B 103, 205112 (2021).
  22. D. F. Liu, Q. N. Xu, E. K. Liu, J. L. Shen, C. C. Le, Y. W. Li, D. Pei, A. J. Liang, P. Dudin, T. K. Kim, C. Cacho, Y. F. Xu, Y. Sun, L. X. Yang, Z. K. Liu, C. Felser, S. S. P. Parkin, and Y. L. Chen, “Topological phase transition in a magnetic Weyl semimetal,” Phys. Rev. B 104, 205140 (2021).
  23. L. Muechler, E. Liu, J. Gayles, Q. Xu, C. Felser, and Y. Sun, “Emerging chiral edge states from the confinement of a magnetic Weyl semimetal in Co33{}_{3}start_FLOATSUBSCRIPT 3 end_FLOATSUBSCRIPTSn22{}_{2}start_FLOATSUBSCRIPT 2 end_FLOATSUBSCRIPTS22{}_{2}start_FLOATSUBSCRIPT 2 end_FLOATSUBSCRIPT,” Phys. Rev. B 101, 115106 (2020).
  24. K. Fujiwara, J. Ikeda, J. Shiogai, T. Seki, K. Takanashi, and A. Tsukazaki, “Ferromagnetic Co33{}_{3}start_FLOATSUBSCRIPT 3 end_FLOATSUBSCRIPTSn22{}_{2}start_FLOATSUBSCRIPT 2 end_FLOATSUBSCRIPTS22{}_{2}start_FLOATSUBSCRIPT 2 end_FLOATSUBSCRIPT thin films fabricated by co-sputtering,” Jpn. J. Appl. Phys. 58, 050912 (2019).
  25. J. Shiogai, J. Ikeda, K. Fujiwara, T. Seki, K. Takanashi, and A. Tsukazaki, “Robust perpendicular magnetic anisotropy of Co33{}_{3}start_FLOATSUBSCRIPT 3 end_FLOATSUBSCRIPTSn22{}_{2}start_FLOATSUBSCRIPT 2 end_FLOATSUBSCRIPTS22{}_{2}start_FLOATSUBSCRIPT 2 end_FLOATSUBSCRIPT phase in sulfur deficient sputtered thin films,” Phys. Rev. Materials 5, 024403 (2021).
  26. J. Ikeda, K. Fujiwara, J. Shiogai, T. Seki, K. Nomura, K. Takanashi, and A. Tsukazaki, “Critical thickness for the emergence of Weyl features in Co33{}_{3}start_FLOATSUBSCRIPT 3 end_FLOATSUBSCRIPTSn22{}_{2}start_FLOATSUBSCRIPT 2 end_FLOATSUBSCRIPTS22{}_{2}start_FLOATSUBSCRIPT 2 end_FLOATSUBSCRIPT thin films,” Commun. Mater. 2, 18 (2021).
  27. J. Ikeda, K. Fujiwara, J. Shiogai, T. Seki, K. Nomura, K. Takanashi, and A. Tsukazaki, “Two-dimensionality of metallic surface conduction in Co33{}_{3}start_FLOATSUBSCRIPT 3 end_FLOATSUBSCRIPTSn22{}_{2}start_FLOATSUBSCRIPT 2 end_FLOATSUBSCRIPTS22{}_{2}start_FLOATSUBSCRIPT 2 end_FLOATSUBSCRIPT thin films,” Commun. Phys. 4, 117 (2021).
  28. K. Fujiwara, J. Ikeda, S. Ito, and A. Tsukazaki, “Electrochemical thinning of Co kagome-lattice layers in ferromagnetic Co33{}_{3}start_FLOATSUBSCRIPT 3 end_FLOATSUBSCRIPTSn22{}_{2}start_FLOATSUBSCRIPT 2 end_FLOATSUBSCRIPTS22{}_{2}start_FLOATSUBSCRIPT 2 end_FLOATSUBSCRIPT thin films by bias-induced Co dissolution,” J. Appl. Phys. 133, 125302 (2023).
  29. K. Nakazawa, Y. Kato, and Y. Motome, “Magnetic, transport and topological properties of Co-based shandite thin films,” Commun. Phys. 7, 48 (2024).
  30. A. Ozawa and K. Nomura, “Two-Orbital Effective Model for Magnetic Weyl Semimetal in Kagome-Lattice Shandite,” J. Phys. Soc. Jpn. 88, 123703 (2019).
  31. M. P. Ghimire, J. I. Facio, J.-S. You, L. Ye, J. G. Checkelsky, S. Fang, E. Kaxiras, M. Richter, and J. van den Brink, “Creating Weyl nodes and controlling their energy by magnetization rotation,” Phys. Rev. Research 1, 032044(R) (2019).
  32. A. Ozawa, K. Kobayashi and K. Nomura, “Effective Model Analysis of Intrinsic Spin Hall Effect with Magnetism in the Stacked Kagome Weyl Semimetal Co33{}_{3}start_FLOATSUBSCRIPT 3 end_FLOATSUBSCRIPTSn22{}_{2}start_FLOATSUBSCRIPT 2 end_FLOATSUBSCRIPTS22{}_{2}start_FLOATSUBSCRIPT 2 end_FLOATSUBSCRIPT,” Phys. Rev. Applied 21, 014041 (2024).
  33. K. Momma and F. Izumi, “VESTA 3 for three-dimensional visualization of crystal, volumetric and morphology data,” J. Appl. Cryst. 44, 1272 (2011).
  34. http://www.openmx-square.org.
  35. T. Ozaki, “Variationally optimized atomic orbitals for large-scale electronic structures,” Phys. Rev. B 67, 155108, (2003).
  36. J. P. Perdew, K. Burke, and M. Ernzerhof, “Generalized Gradient Approximation Made Simple,” Phys. Rev. Lett. 77, 3865 (1996).
  37. G. Li, Q. Xu, W. Shi, C. Fu, L. Jiao, M. E. Kamminga, M. Yu, H. Tüysüz, N. Kumar, V. Süß, R. Saha, A. K. Srivastava, S. Wirth, G. Auffermann, J. Gooth, S. Parkin, Y. Sun, E. Liu, C. Felser, “Surface states in bulk single crystal of topological semimetal Co33{}_{3}start_FLOATSUBSCRIPT 3 end_FLOATSUBSCRIPTSn22{}_{2}start_FLOATSUBSCRIPT 2 end_FLOATSUBSCRIPTS22{}_{2}start_FLOATSUBSCRIPT 2 end_FLOATSUBSCRIPT toward water oxidation,” Sci. Adv. 5, eaaw9867 (2019).
  38. N. Marzari and D. Vanderbilt, “Maximally localized generalized Wannier functions for composite energy bands,” Phys. Rev. B 56, 12847 (1997).
  39. I. Souza, N. Marzari, and D. Vanderbilt, “Maximally localized Wannier functions for entangled energy bands,” Phys. Rev. B 65, 035109 (2001).
  40. H. Weng, T. Ozaki, and K. Terakura, “Revisiting magnetic coupling in transition-metal-benzene complexes with maximally localized Wannier functions,” Phys. Rev. B 79, 235118 (2009).
  41. X. Liu, H.-C. Hsu, and C.-X. Liu, “In-Plane Magnetization-Induced Quantum Anomalous Hall Effect,” Phys. Rev. Lett. 111, 086802 (2013).
  42. Y. Ren, J. Zeng, X. Deng, F. Yang, H. Pan, and Z. Qiao, “Quantum anomalous Hall effect in atomic crystal layers from in-plane magnetization,” Phys. Rev. B 94, 085411 (2016).
  43. P. Zhong, Y. Ren, Y. Han, L. Zhang, and Z. Qiao, “In-plane magnetization-induced quantum anomalous Hall effect in atomic crystals of group-V elements,” Phys. Rev. B 96, 241103(R) (2017).
  44. Z. Liu, G. Zhao, B. Liu, Z. F. Wang, J. Yang, and F. Liu, “Intrinsic Quantum Anomalous Hall Effect with In-Plane Magnetization: Searching Rule and Material Prediction,” Phys. Rev. Lett. 121, 246401 (2018).
  45. D. Xiao, Y. Yao, Z. Fang, and Q. Niu, “Berry-Phase Effect in Anomalous Thermoelectric Transport,” Phys. Rev. Lett. 97, 026603 (2006).
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