Contactless Microwave Detection of Shubnikov–De Haas Oscillations in Three-Dimensional Dirac Semimetal ZrTe
-
Abstract
We report Shubnikov–de Haas (SdH) oscillations of a three-dimensional (3D) Dirac semimetal candidate of layered material ZrTe 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. Further experiments demonstrate that the ZrTe single crystals have the signature of massless Dirac fermions with nontrivial Berry phase, key evidence for 3D Dirac/Weyl fermions. Moreover, the onset of quantum oscillation of our ZrTe 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. -
-
References
[1] Wan X G, Turner A M, Vishwanath A and Savrasov S Y 2011 Phys. Rev. B 83 205101 doi: 10.1103/PhysRevB.83.205101[2] Weng H M, Dai X and Fang Z 2016 J. Phys.: Condens. Matter 28 303001 doi: 10.1088/0953-8984/28/30/303001[3] Burkov A A 2016 Nat. Mater. 15 1145 doi: 10.1038/nmat4788[4] He L P, Hong X C, Dong J K, Pan J, Zhang Z, Zhang J and Li S Y 2014 Phys. Rev. Lett. 113 246402 doi: 10.1103/PhysRevLett.113.246402[5] Liang T, Gibson Q, Ali M N, Liu M, Cava R J and Ong N P 2015 Nat. Mater. 14 280 doi: 10.1038/nmat4143[6] 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. X 5 031023 doi: 10.1103/PhysRevX.5.031023[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 doi: 10.1038/nphys3372[8] Yuan Z J, Lu H, Liu Y J, Wang J F and Jia S 2016 Phys. Rev. B 93 184405 doi: 10.1103/PhysRevB.93.184405[9] Xiong J, Kushwaha S K, Liang T, Krizan J W, Hirschberger M, Wang W, Cava R J and Ong N P 2015 Science 350 413 doi: 10.1126/science.aac6089[10] Li C Z, Wang L X, Liu H, Wang J, Liao Z M and Yu D P 2015 Nat. Commun. 6 10137 doi: 10.1038/ncomms10137[11] Li H, He H, Lu H Z, Zhang H, Liu H, Ma R, Fan Z, Shen S Q and Wang J 2016 Nat. Commun. 7 10301 doi: 10.1038/ncomms10301[12] 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 doi: 10.1038/ncomms10735[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 doi: 10.1038/nphys3648[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. B 93 115414 doi: 10.1103/PhysRevB.93.115414[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. B 98 161110R doi: 10.1103/PhysRevB.98.161110[16] Li H, Wang H W, He H, Wang J and Shen S Q 2018 Phys. Rev. B 97 201110R doi: 10.1103/PhysRevB.97.201110[17] Burkov A A and Balents L 2011 Phys. Rev. Lett. 107 127205 doi: 10.1103/PhysRevLett.107.127205[18] Xu G, Weng H M, Wang Z J, Dai X and Fang Z 2011 Phys. Rev. Lett. 107 186806 doi: 10.1103/PhysRevLett.107.186806[19] Liang T, Lin J, Gibson Q, Gao T, Hirschberger M, Liu M, Cava R J and Ong N P 2017 Phys. Rev. Lett. 118 136601 doi: 10.1103/PhysRevLett.118.136601[20] 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 doi: 10.1038/s41567-018-0078-z[21] Potter A C, Kimchi I and Vishwanath A 2014 Nat. Commun. 5 5161 doi: 10.1038/ncomms6161[22] Moll P J W, Nair N L, Helm T, Potter A C, Kimchi I, Vishwanath A and Analytis J G 2016 Nature 535 266 doi: 10.1038/nature18276[23] Zheng G L, Wu M, Zhang H W, Chu W W, Gao W S, Lu J W, Han Y Y, Yang J Y, Du H F, Ning W, Zhang Y H and Tian M L 2017 Phys. Rev. B 96 121407R doi: 10.1103/PhysRevB.96.121407[24] Mikitik G P and Sharlai Y V 1999 Phys. Rev. Lett. 82 2147 doi: 10.1103/PhysRevLett.82.2147[25] Qu D X, Hor Y S, Xiong J, Cava R J and Ong N P 2010 Science 329 821 doi: 10.1126/science.1189792[26] Analytis J G, McDonald R D, Riggs S C, Chu J H, Boebinger G S and Fisher I R 2010 Nat. Phys. 6 960 doi: 10.1038/nphys1861[27] Pariari A, Dutta P and Mandal P 2015 Phys. Rev. B 91 155139 doi: 10.1103/PhysRevB.91.155139[28] 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 doi: 10.1103/PhysRevLett.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 doi: 10.1038/nmat4953[30] Chen R Y, Chen Z G, Song X Y, Schneeloch J A, Gu G D, Wang F and Wang N L 2015 Phys. Rev. Lett. 115 176404 doi: 10.1103/PhysRevLett.115.176404[31] Chen R Y, Zhang S J, Schneeloch J A, Zhang C, Li Q, Gu G D and Wang N L 2015 Phys. Rev. B 92 075107 doi: 10.1103/PhysRevB.92.075107[32] Omling P, Meyer B and Emanuelsson P 1991 Appl. Phys. Lett. 58 931 doi: 10.1063/1.104481[33] Linke H, Omling P, Ramvall P, Meyer B K, Drechsler M, Wetzel C, Rudeloff R and Scholz F 1993 J. Appl. Phys. 73 7533 doi: 10.1063/1.354001[34] Linke H, Kowalski B, Ramvall P, Emanuelsson P, Omling P, Oettinger K, Drechsler M and Meyer B K 1993 Appl. Phys. Lett. 62 2725 doi: 10.1063/1.109245[35] Drabinska A, Wo?os A, Kaminska M, Strupinski W and Baranowski J M 2012 Phys. Rev. B 86 045421 doi: 10.1103/PhysRevB.86.045421[36] Wolos A, Szyszko S, Drabinska A, Kaminska M, Strzelecka S G, Hruban A, Materna A and Piersa M 2012 Phys. Rev. Lett. 109 247604 doi: 10.1103/PhysRevLett.109.247604[37] Shestakov A V, Fazlizhanov I I, Yatsyk I V, Gilmutdinov I F, Ibragimova M I, Shustov V A and Eremina R M 2018 J. Semicond. 39 052001 doi: 10.1088/1674-4926/39/5/052001[38] Kamm G N, Gillespie D J, Ehrlich A C, Wieting T J and Levy F 1985 Phys. Rev. B 31 7617 doi: 10.1103/PhysRevB.31.7617[39] Weng H M, Dai X and Fang Z 2014 Phys. Rev. X 4 011002 doi: 10.1103/PhysRevX.4.011002[40] McIlroy D N, Moore S, Zhang D, Wharton J, Kempton B, Littleton R, Wilson M, Tritt T M and Olson C G 2004 J. Phys.: Condens. Matter 16 L359 doi: 10.1088/0953-8984/16/30/L02[41] 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. B 96 121401R doi: 10.1103/PhysRevB.96.121401[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 Science 342 1490 doi: 10.1126/science.1242247 -
Related Articles
[1] Krishnendu Bhattacharyya, G. C. Layek. MHD Boundary Layer Flow of Dilatant Fluid in a Divergent Channel with Suction or Blowing [J]. Chin. Phys. Lett., 2011, 28(8): 084705. doi: 10.1088/0256-307X/28/8/084705 [2] T. Hayat, Liaqat Ali. Khan, R. Ellahi, S. Obaidat. Exact Solutions on MHD Flow Past an Accelerated Porous Plate in a Rotating Frame [J]. Chin. Phys. Lett., 2011, 28(5): 054701. doi: 10.1088/0256-307X/28/5/054701 [3] Krishnendu Bhattacharyya, Swati Mukhopadhyay, G. C. Layek. MHD Boundary Layer Slip Flow and Heat Transfer over a Flat Plate [J]. Chin. Phys. Lett., 2011, 28(2): 024701. doi: 10.1088/0256-307X/28/2/024701 [4] Choon Ki Ahn. A Passivity Based Synchronization for Chaotic Behavior in Nonlinear BlochEquations [J]. Chin. Phys. Lett., 2010, 27(1): 010503. doi: 10.1088/0256-307X/27/1/010503 [5] LI Bo-Tong, ZHENG Lian-Cun, ZHANG Xin-Xin. Multiple Solutions of Laminar Flow in Channels with a Transverse Magnetic Field [J]. Chin. Phys. Lett., 2009, 26(9): 094101. doi: 10.1088/0256-307X/26/9/094101 [6] Anuar Ishak, Roslinda Nazar, Ioan Pop. MHD Flow Towards a Permeable Surface with Prescribed Wall Heat Flux [J]. Chin. Phys. Lett., 2009, 26(1): 014702. doi: 10.1088/0256-307X/26/1/014702 [7] WU Zheng-Wei, ZHANG Wen-Lu, LI Ding, YANG Wei-Hong. Effect of Magnetic Field and Equilibrium Flow on Rayleigh-Taylor Instability [J]. Chin. Phys. Lett., 2004, 21(10): 2001-2004. [8] CHEN Yin-Hua, WANG Ge, TAN Li-Wei. Nonlinear Inertial Alfvén Waves in Plasmas with Sheared Magnetic Field and Flow [J]. Chin. Phys. Lett., 2004, 21(5): 888-890. [9] CHEN Weizhong, WEI Rongjue, WANG Benren. Chaotic Behavior of Solitary Wave in Liquid [J]. Chin. Phys. Lett., 1995, 12(11): 677-680. [10] QIU Xiaoming (S.M.CHIU), WANG Xiaogang. A NEW STRANGE ATTRACTOR IN MHD FLOW IN SHEARED MAGNETIC FIELD [J]. Chin. Phys. Lett., 1986, 3(3): 105-108.
DownLoad: