Chin. Phys. Lett.  2020, Vol. 37 Issue (9): 090301    DOI: 10.1088/0256-307X/37/9/090301
Butterfly-Like Anisotropic Magnetoresistance and Angle-Dependent Berry Phase in a Type-II Weyl Semimetal WP$_{2}$
Kaixuan Zhang1†, Yongping Du2†, Pengdong Wang3, Laiming Wei1, Lin Li1, Qiang Zhang1, Wei Qin1, Zhiyong Lin1, Bin Cheng1, Yifan Wang1, Han Xu1, Xiaodong Fan1, Zhe Sun3,5, Xiangang Wan4,5*, and Changgan Zeng1*
1International Center for Quantum Design of Functional Materials, Hefei National Laboratory for Physical Sciences at the Microscale, CAS Key Laboratory of Strongly Coupled Quantum Matter Physics, Department of Physics, and Synergetic Innovation Center of Quantum Information & Quantum Physics, University of Science and Technology of China, Hefei 230026, China
2Department of Applied Physics and Institution of Energy and Microstructure, Nanjing University of Science and Technology, Nanjing 210094, China
3National Synchrotron Radiation Laboratory, University of Science and Technology of China, Hefei 230029, China
4National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University, Nanjing 210093, China
5Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093, China
Cite this article:   
Kaixuan Zhang, Yongping Du, Pengdong Wang et al  2020 Chin. Phys. Lett. 37 090301
Download: PDF(2807KB)   PDF(mobile)(4905KB)   HTML
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract The Weyl semimetal has emerged as a new topologically nontrivial phase of matter, hosting low-energy excitations of massless Weyl fermions. Here, we present a comprehensive study of a type-II Weyl semimetal WP$_{2}$. Transport studies show a butterfly-like magnetoresistance at low temperature, reflecting the anisotropy of the electron Fermi surfaces. This four-lobed feature gradually evolves into a two-lobed variant with an increase in temperature, mainly due to the reduced relative contribution of electron Fermi surfaces compared to hole Fermi surfaces for magnetoresistance. Moreover, an angle-dependent Berry phase is also discovered, based on quantum oscillations, which is ascribed to the effective manipulation of extremal Fermi orbits by the magnetic field to feel nearby topological singularities in the momentum space. The revealed topological character and anisotropic Fermi surfaces of the WP$_{2}$ substantially enrich the physical properties of Weyl semimetals, and show great promises in terms of potential topological electronic and Fermitronic device applications.
Received: 04 June 2020      Published: 01 September 2020
PACS:  03.65.Vf (Phases: geometric; dynamic or topological)  
  72.15.-v (Electronic conduction in metals and alloys)  
  75.47.-m (Magnetotransport phenomena; materials for magnetotransport)  
Fund: Supported by the National Natural Science Foundation of China (Grant Nos. 11974324, 11804326, U1832151, and 11674296), the Strategic Priority Research Program of Chinese Academy of Sciences (Grant No. XDC07010000), the National Key Research and Development Program of China (Grant No. 2017YFA0403600), the Anhui Initiative in Quantum Information Technologies (Grant No. AHY170000), the Hefei Science Center CAS (Grant No. 2018HSC-UE014), the Jiangsu Provincial Science Foundation for Youth (Grant No. BK20170821), the National Natural Science Foundation of China for Youth (Grant No. 11804160), and the Anhui Provincial Natural Science Foundation (Grant No. 1708085MF136).
URL:       OR
E-mail this article
E-mail Alert
Articles by authors
Kaixuan Zhang
Yongping Du
Pengdong Wang
Laiming Wei
Lin Li
Qiang Zhang
Wei Qin
Zhiyong Lin
Bin Cheng
Yifan Wang
Han Xu
Xiaodong Fan
Zhe Sun
Xiangang Wan
and Changgan Zeng
[1] Soluyanov A A, Gresch D, Wang Z, Wu Q, Troyer M, Dai X and Bernevig B A 2015 Nature 527 495
[2] Deng K, Wan G, Deng P, Zhang K, Ding S, Wang E, Yan M, Huang H, Zhang H, Xu Z, Denlinger J, Fedorov A, Yang H, Duan W, Yao H, Wu Y, Fan S, Zhang H, Chen X and Zhou S 2016 Nat. Phys. 12 1105
[3] Wang Y, Liu E, Liu H, Pan Y, Zhang L, Zeng J, Fu Y, Wang M, Xu K, Huang Z, Wang Z, Lu H Z, Xing D, Wang B, Wan X and Miao F 2016 Nat. Commun. 7 13142
[4] Lv Y Y, Li X, Zhang B B, Deng W Y, Yao S H, Chen Y B, Zhou J, Zhang S T, Lu M H, Zhang L, Tian M, Sheng L and Chen Y F 2017 Phys. Rev. Lett. 118 096603
[5] Ma J, Gu Q, Liu Y, Lai J, Yu P, Zhuo X, Liu Z, Chen J H, Feng J and Sun D 2019 Nat. Mater. 18 476
[6] Wang Q, Zheng J, He Y, Cao J, Liu X, Wang M, Ma J, Lai J, Lu H, Jia S, Yan D, Shi Y, Duan J, Han J, Xiao W, Chen J H, Sun K, Yao Y and Sun D 2019 Nat. Commun. 10 5736
[7] Chen D, Zhao L X, He J B, Liang H, Zhang S, Li C H, Shan L, Wang S C, Ren Z A, Ren C and Chen G F 2016 Phys. Rev. B 94 174411
[8] Frenzel A J, Homes C C, Gibson Q D, Shao Y M, Post K W, Charnukha A, Cava R J and Basov D N 2017 Phys. Rev. B 95 245140
[9] Zhang K, Du Y, Qi Z, Cheng B, Fan X, Wei L, Li L, Wang D, Yu G, Hu S, Sun C, Huang Z, Chu J, Wan X and Zeng C 2020 Phys. Rev. Appl. 13 014058
[10] Autes G, Gresch D, Troyer M, Soluyanov A A and Yazyev O V 2016 Phys. Rev. Lett. 117 066402
[11] Kumar N, Sun Y, Xu N, Manna K, Yao M, Suss V, Leermakers I, Young O, Forster T, Schmidt M, Borrmann H, Yan B, Zeitler U, Shi M, Felser C and Shekhar C 2017 Nat. Commun. 8 1642
[12] Razzoli E, Zwartsenberg B, Michiardi M, Boschini F, Day R P, Elfimov I S, Denlinger J D, Süss V, Felser C and Damascelli A 2018 Phys. Rev. B 97 201103(R)
[13] Yao M Y, Xu N, Wu Q S, Autes G, Kumar N, Strocov V N, Plumb N C, Radovic M, Yazyev O V, Felser C, Mesot J and Shi M 2019 Phys. Rev. Lett. 122 176402
[14] Kosevich A M 2004 Low Temp. Phys. 30 97
[15] Berry M V 1984 Proc. R. Soc. London A 392 45
[16] Mikitik G P and Sharlai Y V 1999 Phys. Rev. Lett. 82 2147
[17] Fang Z, Nagaosa N, Takahashi K S, Asamitsu A, Mathieu R, Ogasawara T, Yamada H, Kawasaki M, Tokura Y and Terakura K 2003 Science 302 92
[18] Mikitik G and Sharlai Y V 2004 Phys. Rev. Lett. 93 106403
[19] Yao Y, Kleinman L, MacDonald A, Sinova J, Jungwirth T, Wang D S, Wang E and Niu Q 2004 Phys. Rev. Lett. 92 037204
[20] 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
[21] Novoselov K S, Geim A K, Morozov S V, Jiang D, Katsnelson M I, Grigorieva I V, Dubonos S V and Firsov A A 2005 Nature 438 197
[22] Zhang Y, Tan Y W, Stormer H L and Kim P 2005 Nature 438 201
[23] Sacepe B, Oostinga J B, Li J, Ubaldini A, Couto N J, Giannini E and Morpurgo A F 2011 Nat. Commun. 2 575
[24] Qu D X, Hor Y S, Xiong J, Cava R J and Ong N P 2010 Science 329 821
[25] Zhao Y, Liu H, Zhang C, Wang H, Wang J, Lin Z, Xing Y, Lu H, Liu J, Wang Y, Brombosz S M, Xiao Z, Jia S, Xie X C and Wang J 2015 Phys. Rev. X 5 031037
[26] Hu J, Liu J Y, Graf D, Radmanesh S M, Adams D J, Chuang A, Wang Y, Chiorescu I, Wei J, Spinu L and Mao Z Q 2016 Sci. Rep. 6 18674
[27] Xiao D, Chang M C and Niu Q 2010 Rev. Mod. Phys. 82 1959
[28] Mathis H, Glaum R and Gruehn R 1991 Acta Chem. Scand. 45 781
[29] Rundqvist S and Lundstrom T 1963 Acta Chem. Scand. 17 37
[30] Rühl R and Jeitschko W 1983 Monatsh. Chem. - Chem. Mon. 114 817
[31] Schönemann R, Aryal N, Zhou Q, Chiu Y C, Chen K W, Martin T J, McCandless G T, Chan J Y, Manousakis E and Balicas L 2017 Phys. Rev. B 96 121108(R)
[32] Wang A, Graf D, Liu Y, Du Q, Zheng J, Lei H and Petrovic C 2017 Phys. Rev. B 96 121107(R)
[33]Ashcroft N and Mermin N 1976 Solid State Physics (San Diego: Harcourt College Publisher)
[34] Ali M N, Schoop L M, Garg C, Lippmann J M, Lara E, Lotsch B and Parkin S S 2016 Sci. Adv. 2 e1601742
[35] Onsager L 1952 Philos. Mag. 43 1006
[36]Lifshitz I M and Kosevich A M 1956 Sov. Phys.-JETP 2 636
[37]Lifshitz I M and Kosevich A M 1958 Sov. Phys.-JETP 6 67
[38] Arnold F, Shekhar C, Wu S C, Sun Y, Dos Reis R D, Kumar N, Naumann M, Ajeesh M O, Schmidt M, Grushin A G, Bardarson J H, Baenitz M, Sokolov D, Borrmann H, Nicklas M, Felser C, Hassinger E and Yan B 2016 Nat. Commun. 7 11615
[39] Li C H, Long Y J, Zhao L X, Shan L, Ren Z A, Zhao J Z, Weng H M, Dai X, Fang Z, Ren C and Chen G F 2017 Phys. Rev. B 95 125417
[40] Wang Y Y, Sun L L, Xu S, Su Y and Xia T L 2018 Phys. Rev. B 98 045137
[41] Gorbachev R V, Song J C W, Yu G L, Kretinin A V, Withers F, Cao Y, Mishchenko A, Grigorieva I V, Novoselov K S, Levitov L S and Geim A K 2014 Science 346 448
Related articles from Frontiers Journals
[1] Qian Sui, Jiaxin Zhang, Suhua Jin, Yunyouyou Xia, and Gang Li. Model Hamiltonian for the Quantum Anomalous Hall State in Iron-Halogenide[J]. Chin. Phys. Lett., 2020, 37(9): 090301
[2] Cuiying Pei, Yunyouyou Xia, Jiazhen Wu, Yi Zhao, Lingling Gao, Tianping Ying, Bo Gao, Nana Li, Wenge Yang, Dongzhou Zhang, Huiyang Gou, Yulin Chen, Hideo Hosono, Gang Li, Yanpeng Qi. Pressure-Induced Topological and Structural Phase Transitions in an Antiferromagnetic Topological Insulator[J]. Chin. Phys. Lett., 2020, 37(6): 090301
[3] Lin-Han Mo, Qiu-Lan Zhang, Xin Wan. Dynamics of the Entanglement Spectrum of the Haldane Model under a Sudden Quench *[J]. Chin. Phys. Lett., 0, (): 090301
[4] Lin-Han Mo, Qiu-Lan Zhang, Xin Wan. Dynamics of the Entanglement Spectrum of the Haldane Model under a Sudden Quench[J]. Chin. Phys. Lett., 2020, 37(6): 090301
[5] Zi-Gang Yuan, Xin-Yu Zhang, He Zhao, Yan-Chao Li. Energy Variance in Decoherence[J]. Chin. Phys. Lett., 2020, 37(3): 090301
[6] Min Wu, Hongwei Zhang, Xiangde Zhu, Jianwei Lu, Guolin Zheng, Wenshuai Gao, Yuyan Han, Jianhui Zhou, Wei Ning, Mingliang Tian. Contactless Microwave Detection of Shubnikov–De Haas Oscillations in Three-Dimensional Dirac Semimetal ZrTe$_{5}$[J]. Chin. Phys. Lett., 2019, 36(6): 090301
[7] Qiu-Shi Wang, Bin Zhang, Wei-Zhu Yi, Meng-Nan Chen, Baigeng Wang, R. Shen. Impurity Effects at Surfaces of a Photon-Dressed Bi$_2$Se$_3$ Thin Film[J]. Chin. Phys. Lett., 2018, 35(10): 090301
[8] Dong-Ling Deng, Sheng-Tao Wang, Kai Sun, L.-M. Duan. Probe Knots and Hopf Insulators with Ultracold Atoms[J]. Chin. Phys. Lett., 2018, 35(1): 090301
[9] Yu Si, Ling-Jun Kong, Yu Zhang, Zhi-Cheng Ren, Yue Pan, Chenghou Tu, Yongnan Li, Hui-Tian Wang. Spatial-Variant Geometric Phase of Hybrid-Polarized Vector Optical Fields[J]. Chin. Phys. Lett., 2017, 34(4): 090301
[10] Jian-Peng Sun, Dong Zhang, Kai Chang. Molybdenum Carbide: A Stable Topological Semimetal with Line Nodes and Triply Degenerate Points[J]. Chin. Phys. Lett., 2017, 34(2): 090301
[11] Kai Ma. Hybrid of Quantum Phases for Induced Dipole Moments[J]. Chin. Phys. Lett., 2016, 33(09): 090301
[12] Jin-Tao Tan, Yun-Rong Luo, Zheng Zhou, Wen-Hua Hai. Combined Effect of Classical Chaos and Quantum Resonance on Entanglement Dynamics[J]. Chin. Phys. Lett., 2016, 33(07): 090301
[13] Hui Zhou, Zhao-Kai Li, Heng-Yan Wang, Hong-Wei Chen, Xin-Hua Peng, Jiang-Feng Du. Experimental Observation of the Ground-State Geometric Phase of Three-Spin $XY$ Model[J]. Chin. Phys. Lett., 2016, 33(06): 090301
[14] Ye Xiong. Fano Resonances Can Provide Two Criteria to Distinguish Majorana Bound States from Other Candidates in Experiments[J]. Chin. Phys. Lett., 2016, 33(05): 090301
[15] YUAN Zi-Gang, ZHANG Ping. Critical Behavior of the Energy Gap and Its Relation with the Berry Phase Close to the Excited State Quantum Phase Transition in the Lipkin Model[J]. Chin. Phys. Lett., 2015, 32(06): 090301
Full text