1Anhui Province Key Laboratory of Condensed Matter Physics at Extreme Conditions, High Magnetic Field Laboratory, Chinese Academy of Sciences, Hefei 230031 2Department of Physics, University of Science and Technology of China, Hefei 230026 3Department of Physics, Shaanxi University of Science and Technology, Xi'an 710021 4School of Science, RMIT University, Melbourne, VIC 3001, Australia 5Department of Physics, School of Physics and Materials Science, Anhui University, Hefei 230601
Abstract：We report Shubnikov–de Haas (SdH) oscillations of a three-dimensional (3D) Dirac semimetal candidate of layered material ZrTe$_{5}$ single crystals through contactless electron spin resonance (ESR) measurements with the magnetic field up to 1.4 T. The ESR signals manifest remarkably anisotropic characteristics with respect to the direction of the magnetic field, indicating an anisotropic Fermi surface in ZrTe$_{5}$. Further experiments demonstrate that the ZrTe$_{5}$ single crystals have the signature of massless Dirac fermions with nontrivial $\pi$ Berry phase, key evidence for 3D Dirac/Weyl fermions. Moreover, the onset of quantum oscillation of our ZrTe$_{5}$ crystals revealed by the ESR can be derived down to 0.2 T, much smaller than the onset of SdH oscillation determined by conventional magnetoresistance measurements. Therefore, ESR measurement is a powerful tool to study the topologically nontrivial electronic structure in Dirac/Weyl semimetals and other topological materials with low bulk carrier density.
Huang X C, Zhao L X, Long Y J, Wang P P, Chen D, Yang Z H, Liang H, Xue M Q, Weng H M, Fang Z, Dai X and Chen G F 2015 Phys. Rev. X5 031023
[7]
Shekhar C, Nayak A K, Sun Y, Schmidt M, Nicklas M, Leermakers I, Zeitler U, Skourski Y, Wosnitza J, Liu Z, Chen Y, Schnelle W, Borrmann H, Grin Y, Felser C and Yan B 2015 Nat. Phys.11 645
Zhang C L, Xu S Y, Belopolski I, Yuan Z, Lin Z, Tong B, Bian G, Alidoust N, Lee C C, Huang S M, Chang T R, Chang G, Hsu C H, Jeng H T, Neupane M, Sanchez D S, Zheng H, Wang J, Lin H, Zhang C, Lu H Z, Shen S Q, Neupert T, Hasan M Z and Jia S 2016 Nat. Commun.7 10735
[13]
Li Q, Kharzeev D E, Zhang C, Huang Y, Pletikosi? I, Fedorov A V, Zhong R D, Schneeloch J A, Gu G D and Valla T 2016 Nat. Phys.12 550
[14]
Zheng G L, Lu J W, Zhu X D, Ning W, Han Y Y, Zhang H W, Zhang J L, Xi C Y, Yang J Y, Du H F, Yang K, Zhang Y H and Tian M L 2016 Phys. Rev. B93 115414
[15]
Wu M, Zheng G L, Chu W W, Liu Y Q, Gao W S, Zhang H W, Lu J W, Han Y Y, Zhou J H, Ning W and Tian M L 2018 Phys. Rev. B98 161110(R)
Liang T, Lin J, Gibson Q, Kushwaha S, Liu M, Wang W, Xiong H, Sobota J A, Hashimoto M, Kirchmann P S, Shen Z X, Cava R J and Ong N P 2018 Nat. Phys.14 451
Hu J, Tang Z J, Liu J Y, Liu X, Zhu Y L, Graf D, Myhro K, Tran S, Lau C N, Wei J and Mao Z Q 2016 Phys. Rev. Lett.117 016602
[29]
Liu J Y, Hu J, Zhang Q, Graf D, Cao H B, Radmanesh S M A, Adams D J, Zhu Y L, Cheng G F, Liu X, Phelan W A, Wei J, Jaime M, Balakirev F, Tennant D A, DiTusa J F, Chiorescu I, Spinu L and Mao Z Q 2017 Nat. Mater.16 905
Zheng G L, Zhu X D, Liu Y Q, Lu J W, Ning W, Zhang H W, Gao W S, Han Y Y, Yang J Y, Du H F, Yang K, Zhang Y H and Tian M L 2017 Phys. Rev. B96 121401(R)
[42]
Shoenberg D 1984 Magnetic Oscillations in Metals (Cambridge: Cambridge University Press)
[43]
Murakawa H, Bahramy M S, Tokunaga M, Kohama Y, Bell C, Kaneko Y, Nagaosa N, Hwang H Y and Tokura Y 2013 Science342 1490
2019, Vol. 36 
