- Letter
- Open Access
Quantum oscillations from Fermi arc surface states in submicron wires
Phys. Rev. Research 4, L022002 – Published 5 April, 2022
DOI: https://doi.org/10.1103/PhysRevResearch.4.L022002
Abstract
Topological materials such as topological insulators and Weyl/Dirac semimetals possess topologically protected surface states giving birth to various unique phenomena and functionaries. To investigate the surface transport phenomena toward possible application to electric devices, nano- and submicron-scale structures of topological Dirac semimetals are of particular interest since they can be grown by an economical chemical vapor deposition (CVD) method. However, quantum oscillations associated with the topological surface states have not been well explored in nano or submicron wires despite a most fundamental transport signature of the surface state. Here, we successfully observe quantum oscillations resulting from the surface states in magnetoresistance measurements for submicron wires of Dirac semimetal grown by a CVD method. The oscillation frequencies and phases suggest that the surface quantum oscillations originate from closed orbits located on each surface constructed from the Fermi arcs. Our results will stimulate further research on quantum transport phenomena in topological wires.
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References (37)
- C. Z. Chang, J. Zhang, X. Feng, J. Shen, Z. Zhang, M. Guo, K. Li, Y. Ou, P. Wei, L. L. Wang, Z. Q. Ji, Y. Feng, S. Ji, X. Chen, J. Jia, X. Dai, Z. Fang, S. C. Zhang, K. He, Y. Wang et al., Experimental observation of the quantum anomalous Hall effect in a magnetic topological Insulator, Science 340, 167 (2013).
- Y. Xu, I. Miotkowski, C. Liu, J. Tian, H. Nam, N. Alidoust, J. Hu, C. K. Shih, M. Z. Hasan, and Y. P. Chen, Observation of topological surface state quantum Hall effect in an intrinsic three-dimensional topological insulator, Nat. Phys. 10, 956 (2014).
- R. Yoshimi, A. Tsukazaki, Y. Kozuka, J. Falson, K. S. Takahashi, J. G. Checkelsky, N. Nagaosa, M. Kawasaki, and Y. Tokura, Quantum Hall effect on top and bottom surface states of topological insulator (Bi11-x Sbx)2 Te3 films, Nat. Commun. 6, 6627 (2015).
- N. P. Armitage, E. J. Mele, and A. Vishwanath, Weyl and Dirac semimetals in three-dimensional solids, Rev. Mod. Phys. 90, 015001 (2018).
- A. C. Potter, I. Kimchi, and A. Vishwanath, Quantum oscillations from surface Fermi arcs in Weyl and Dirac semimetals, Nat. Commun. 5, 5161 (2014).
- M. Kargarian, M. Randeria, and Y. M. Lu, Are the surface Fermi arcs in Dirac semimetals topologically protected? Proc. Nat. Acad. Sci. USA 113, 8648 (2016).
- P. J. 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 , Nature (London) 535, 266 (2016).
- C. Zhang, A. Narayan, S. Lu, J. Zhang, H. Zhang, Z. Ni, X. Yuan, Y. Liu, J. H. Park, E. Zhang, W. Wang, S. Liu, L. Cheng, L. Pi, Z. Sheng, S. Sanvito, and F. Xiu, Evolution of Weyl orbit and quantum Hall effect in Dirac semimetal , Nat. Commun. 8, 1272 (2017).
- C. Zhang, Y. Zhang, X. Yuan, S. Lu, J. Zhang, A. Narayan, Y. Liu, H. Zhang, Z. Ni, R. Liu, E. S. Choi, A. Suslov, S. Sanvito, L. Pi, H.-Z. Lu, A. C. Potter, and F. Xiu, Quantum Hall effect based on Weyl orbits in , Nature (London) 565, 331 (2019).
- B. C. Lin, S. Wang, S. Wiedmann, J. M. Lu, W. Z. Zheng, D. Yu, and Z. M. Liao, Observation of an Odd-Integer Quantum Hall Effect from Topological Surface States in Cd3As2, Phys. Rev. Lett. 122, 036602 (2019).
- S. Nishihaya, M. Uchida, Y. Nakazawa, R. Kurihara, K. Akiba, M. Kriener, A. Miyake, Y. Taguchi, M. Tokunaga, and M. Kawasaki, Quantized surface transport in topological Dirac semimetal films, Nat. Commun. 10, 2564 (2019).
- M. N. Ali, Q. Gibson, S. Jeon, B. B. Zhou, A. Yazdani, and R. J. Cava, The crystal and electronic structures of , the three-dimensional electronic analogue of graphene, Inorg. Chem. 53, 4062 (2014).
- Z. Wang, H. Weng, Q. Wu, X. Dai, and Z. Fang, Three-dimensional Dirac semimetal and quantum transport in , Phys. Rev. B 88, 125427 (2013).
- P. Schönherr and T. Hesjedal, Structural properties and growth mechanism of nanowires, Appl. Phys. Lett. 106, 013115 (2015).
- K. Zhang, H. Pan, M. Zhang, Z. Wei, M. Gao, F. Song, X. Wang, and R. Zhang, Controllable synthesis and magnetotransport properties of Dirac semimetal nanostructures, RSC Advances 7, 17689 (2017).
- K. Park, M. Jung, D. Kim, J. R. Bayogan, J. H. Lee, S. J. An, J. Seo, J. Seo, J. P. Ahn, and J. Park, Phase controlled growth of nanowires and their negative photoconductivity, Nano Lett. 20, 4939 (2020).
- H. Li, H. He, H. Z. Lu, H. Zhang, H. Liu, R. Ma, Z. Fan, S. Q. Shen, and J. Wang, Negative magnetoresistance in Dirac semimetal , Nat. Commun. 7, 10301 (2016).
- C. Z. Li, L. X. Wang, H. Liu, J. Wang, Z. M. Liao, and D. P. Yu, Giant negative magnetoresistance induced by the chiral anomaly in individual nanowires, Nat. Commun. 6, 10137 (2015).
- L. X. Wang, C. Z. Li, D. P. Yu, and Z. M. Liao, Aharonov-Bohm oscillations in Dirac semimetal nanowires, Nat. Commun. 7, 10769 (2016).
- B.-C. Lin, S. Wang, A.-Q. Wang, Y. Li, R.-R. Li, K. Xia, D. Yu, and Z.-M. Liao, Electric Control of Fermi Arc Spin Transport in Individual Topological Semimetal Nanowires, Phys. Rev. Lett. 124, 116802 (2020).
- R. X. Zhang and C. X. Liu, Crystalline Symmetry-Protected Majorana Mode in Number-Conserving Dirac Semimetal Nanowires, Phys. Rev. Lett. 120, 156802 (2018).
- M. Jung, K. Yoshida, K. Park, X. X. Zhang, C. Yesilyurt, Z. B. Siu, M. B. Jalil, J. Park, J. Park, N. Nagaosa, J. Seo, and K. Hirakawa, Quantum dots formed in three-dimensional dirac semimetal nanowires, Nano Lett. 18, 1863 (2018).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevResearch.4.L022002 for additional results and discussion about sample growth, MR for S2, temperature dependence of SdH oscillations, Lifshitz-Kosevich analysis, FFT analysis, and TEM analysis.
- S. Wang, B.-C. Lin, A.-Q. Wang, D.-P. Yu, and Z.-M. Liao, Quantum transport in Dirac and Weyl semimetals: A review, Adv. Phys. X 23, 518 (2017).
- Z.-G. Chen, C. Zhang, Y. Zou, E. Zhang, L. Yang, M. Hong, F. Xiu, and J. Zou, Scalable growth of high mobility dirac semimetal microbelts, Nano Lett. 15, 5830 (2015).
- J. Xiong, S. K. Kushwaha, T. Liang, J. W. Krizan, M. Hirschberger, W. Wang, R. J. Cava, and N. P. Ong, Evidence for the chiral anomaly in the dirac semimetal , Science 350, 413 (2015).
- H. B. Nielsen and M. Ninomiya, The Adler-Bell-Jackiw anomaly and Weyl fermions in a crystal, Phys. Lett. B 130, 389 (1983).
- H. Pan, K. Zhang, Z. Wei, B. Zhao, J. Wang, M. Gao, L. Pi, M. Han, F. Song, X. Wang, B. Wang, and R. Zhang, Quantum oscillation and nontrivial transport in the Dirac semimetal nanodevice, Appl. Phys. Lett. 108, 183103 (2016).
- O. Breunig, Z. Wang, A. A. Taskin, J. Lux, A. Rosch, and Y. Ando, Gigantic negative magnetoresistance in the bulk of a disordered topological insulator, Nat. Commun. 8, 15545 (2017).
- R. Singh, V. K. Gangwar, D. D. Daga, A. Singh, A. K. Ghosh, M. Kumar, A. Lakhani, R. Singh, and S. Chatterjee, Unusual negative magnetoresistance in topological insulator under perpendicular magnetic field, Appl. Phys. Lett. 112, 102401 (2018).
- T. Liang, Q. Gibson, M. N. Ali, M. Liu, R. J. Cava, and N. P. Ong, Ultrahigh mobility and giant magnetoresistance in the Dirac semimetal , Nat. Mater. 14, 280 (2015).
- M. Uchida, Y. Nakazawa, S. Nishihaya, K. Akiba, M. Kriener, Y. Kozuka, A. Miyake, Y. Taguchi, M. Tokunaga, N. Nagaosa, Y. Tokura, and M. Kawasaki, Quantum Hall states observed in thin films of Dirac semimetal , Nat. Commun. 8, 2274 (2017).
- B. J. Yang and N. Nagaosa, Classification of stable three-dimensional Dirac semimetals with nontrivial topology, Nat. Commun. 5, 4898 (2014).
- S. Nishihaya, M. Uchida, Y. Nakazawa, M. Kriener, Y. Taguchi, and M. Kawasaki, Intrinsic coupling between spatially-separated surface Fermi-arcs in Weyl orbit quantum Hall states, Nat. Commun. 12, 2572 (2021).
- A. A. Taskin and Y. Ando, Berry phase of nonideal dirac fermions in topological insulators, Phys. Rev. B 84, 035301 (2011).
- A. R. Wright and R. H. McKenzie, Quantum oscillations and Berry's phase in topological insulator surface states with broken particle-hole symmetry, Phys. Rev. B 87, 085411 (2013).
- G. Zheng, M. Wu, H. Zhang, W. Chu, W. Gao, J. Lu, Y. Han, J. Yang, H. Du, W. Ning, Y. Zhang, and M. Tian, Recognition of Fermi-arc states through the magnetoresistance quantum oscillations in Dirac semimetal nanoplates, Phys. Rev. B 96, 121407(R) (2017).