de Haas–van Alphen Quantum Oscillations in BaSn Superconductor with Multiple Dirac Fermions
-
Abstract
Characterization of Fermi surface of the BaSn superconductor ( K) by de Haas–van Alphen (dHvA) effect measurement reveals its non-trivial topological properties. Analysis of non-zero Berry phase is supported by the ab initio calculations, which reveals a type-II Dirac point setting and tilting along the high symmetric – line of the Brillouin zone, about 0.13 eV above the Fermi level, and other two type-I Dirac points on the high symmetric – direction, but slightly far below the Fermi level. The results demonstrate BaSn as an excellent example hosting multiple Dirac fermions and an outstanding platform for studying the interplay between nontrivial topological states and superconductivity. -
-
References
[1] Young S M, Zaheer S, Teo J C Y, Kane C L, Mele E J and Rappe A M 2012 Phys. Rev. Lett. 108 140405 doi: 10.1103/PhysRevLett.108.140405[2] Wang Z, Sun Y, Chen X Q, Franchini C, Xu G, Weng H, Dai X and Fang Z 2012 Phys. Rev. B 85 195320 doi: 10.1103/PhysRevB.85.195320[3] Liu Z K, Zhou B, Zhang Y, Wang Z J, Weng H M, Prabhakaran D, Mo S K, Shen Z X, Fang Z, Dai X, Hussain Z and Chen Y L 2014 Science 343 864 doi: 10.1126/science.1245085[4] Lv B Q, Weng H M, Fu B B, Wang X P, Miao H, Ma J, Richard P, Huang X C, Zhao L X, Chen G F, Fang Z, Dai X, Qian T and Ding H 2015 Phys. Rev. X 5 031013 doi: 10.1103/PhysRevX.5.031013[5] Weng H, Fang C, Fang Z, Bernevig B A and Dai X 2015 Phys. Rev. X 5 011029 doi: 10.1103/PhysRevX.5.011029[6] Yang L X, Liu Z K, Sun Y, Peng H, Yang H F, Zhang T, Zhou B, Zhang Y, Guo Y F, Rahn M, Prabhakaran D, Hussain Z, Mo S K, Felser C, Yan B and Chen Y L 2015 Nat. Phys. 11 728 doi: 10.1038/nphys3425[7] Xu S Y, Belopolski I, Alidoust N, Neupane M, Bian G, Zhang C, Sankar R, Chang G, Yuan Z, Lee C C, Huang S M, Zheng H, Ma J, Sanchez D S, Wang B, Bansil A, Chou F, Shibayev P P, Lin H, Jia S and Hasan M Z 2015 Science 349 613 doi: 10.1126/science.aaa9297[8] Fu L and Kane C L 2008 Phys. Rev. Lett. 100 096407 doi: 10.1103/PhysRevLett.100.096407[9] Xu J P, Wang M X, Liu Z L, Ge J F, Yang X, Liu C, Xu Z A, Guan D, Gao C L, Qian D, Liu Y, Wang Q H, Zhang F C, Xue Q K and Jia J F 2015 Phys. Rev. Lett. 114 017001 doi: 10.1103/PhysRevLett.114.017001[10] Zhang P, Yaji K, Hashimoto T, Ota Y, Kondo T, Okazaki K, Wang Z, Wen J, Gu G D, Ding H and Shin S 2018 Science 360 182 doi: 10.1126/science.aan4596[11] Wang D, Kong L, Fan P, Chen H, Zhu S, Liu W, Cao L, Sun Y, Du S, Schneeloch J, Zhong R, Gu G, Fu L, Ding H and Gao H J 2018 Science 362 333 doi: 10.1126/science.aao1797[12] Liu Q, Chen C, Zhang T, Peng R, Yan Y J, Wen C H P, Lou X, Huang Y L, Tian J P, Dong X L, Wang G W, Bao W C, Wang Q H, Yin Z P, Zhao Z X and Feng D L 2018 Phys. Rev. X 8 041056 doi: 10.1103/PhysRevX.8.041056[13] Bradlyn B, Cano J, Wang Z, Vergniory M G, Felser C, Cava R J and Bernevig B A 2016 Science 353 aaf5037 doi: 10.1126/science.aaf5037[14] Tang P, Zhou Q and Zhang S C 2017 Phys. Rev. Lett. 119 206402 doi: 10.1103/PhysRevLett.119.206402[15] Chang G, Xu S Y, Wieder B J, Sanchez D S, Huang S M, Belopolski I, Chang T R, Zhang S, Bansil A, Lin H and Hasan M Z 2017 Phys. Rev. Lett. 119 206401 doi: 10.1103/PhysRevLett.119.206401[16] Rao Z, Li H, Zhang T, Tian S, Li C, Fu B, Tang C, Wang L, Li Z, Fan W, Li J, Huang Y, Liu Z, Long Y, Fang C, Weng H, Shi Y, Lei H, Sun Y, Qian T and Ding H 2019 Nature 567 496 doi: 10.1038/s41586-019-1031-8[17] Wilczek F 2009 Nat. Phys. 5 614 doi: 10.1038/nphys1380[18] Stern A 2010 Nature 464 187 doi: 10.1038/nature08915[19] Qi X L and Zhang S C 2011 Rev. Mod. Phys. 83 1057 doi: 10.1103/RevModPhys.83.1057[20] Leijnse M and Flensberg K 2012 Semicond. Sci. Technol. 27 124003 doi: 10.1088/0268-1242/27/12/124003[21] Luo X, Shao D F, Pei Q L, Song J Y, Hu L, Han Y Y, Zhu X B, Song W H, Lu W J and Sun Y P 2015 J. Mater. Chem. C 3 11432 doi: 10.1039/C5TC02373D[22] Zhu Y L, Hu J, Womack F N, Graf D, Wang Y, Adams P W and Mao Z Q 2019 J. Phys.: Condens. Matter 31 245703 doi: 10.1088/1361-648X/ab0f0d[23] Fässler T F and Kronseder C 1997 Angew. Chem. Int. Ed. Engl. 36 2683 doi: 10.1002/anie.199726831[24] Blöchl P E 1994 Phys. Rev. B 50 17953 doi: 10.1103/PhysRevB.50.17953[25] Lehtomäki J, Makkonen I, Caro M A, Harju A and Lopez-Acevedo O 2014 J. Chem. Phys. 141 234102 doi: 10.1063/1.4903450[26] Perdew J P, Burke K and Ernzerhof M 1996 Phys. Rev. Lett. 77 3865 doi: 10.1103/PhysRevLett.77.3865[27] Perdew J P and Wang Y 1992 Phys. Rev. B 45 13244 doi: 10.1103/PhysRevB.45.13244[28] Kresse G and Furthmüller J 1996 Phys. Rev. B 54 11169 doi: 10.1103/PhysRevB.54.11169[29] Kresse G and Hafner J 1993 Phys. Rev. B 47 558 doi: 10.1103/PhysRevB.47.558[30] Kresse G and Furthmüller J 1996 Comput. Mater. Sci. 6 15 doi: 10.1016/0927-02569600008-0[31] Mostofi A A, Yates J R, Lee Y S, Souza I, Vanderbilt D and Marzari N 2008 Comput. Phys. Commun. 178 685 doi: 10.1016/j.cpc.2007.11.016[32] Souza I, Marzari N and Vanderbilt D 2001 Phys. Rev. B 65 035109 doi: 10.1103/PhysRevB.65.035109[33] Marzari N and Vanderbilt D 1997 Phys. Rev. B 56 12847 doi: 10.1103/PhysRevB.56.12847[34] Wu Q S, Zhang S N, Song H F, Troyer M and Soluyanov A A 2018 Comput. Phys. Commun. 224 405 doi: 10.1016/j.cpc.2017.09.033[35] Mikitik G P and Sharlai Y V 1999 Phys. Rev. Lett. 82 2147 doi: 10.1103/PhysRevLett.82.2147[36] Hu J, Tang Z, Liu J, Liu X, Zhu Y, Graf D, Myhro K, Tran S, Lau C N, Wei J and Mao Z 2016 Phys. Rev. Lett. 117 016602 doi: 10.1103/PhysRevLett.117.016602[37] Clark O J, Neat M J, Okawa K, Bawden L, Marković I, Mazzola F, Feng J, Sunko V, Riley J M, Meevasana W, Fujii J, Vobornik I, Kim T K, Hoesch M, Sasagawa T, Wahl P, Bahramy M S and King P D C 2018 Phys. Rev. Lett. 120 156401 doi: 10.1103/PhysRevLett.120.156401[38] Yang H, Schmidt M, Süss V, Chan M, Balakirev F F, McDonald R D, Parkin S S P, Felser C, Yan B and Moll P J W 2018 New J. Phys. 20 043008 doi: 10.1088/1367-2630/aab32f -
Related Articles
[1] Lixuesong Han, Xianbiao Shi, Jinlong Jiao, Zhenhai Yu, Xia Wang, Na Yu, Zhiqiang Zou, Jie Ma, Weiwei Zhao, Wei Xia, Yanfeng Guo. Nontrivial Topological States in BaSn Superconductor Probed by de Haas–van Alphen Quantum Oscillations [J]. Chin. Phys. Lett., 2022, 39(6): 067101. doi: 10.1088/0256-307X/39/6/067101 [2] Zhe Huang, Xianbiao Shi, Gaoning Zhang, Zhengtai Liu, Soohyun Cho, Zhicheng Jiang, Zhonghao Liu, Jishan Liu, Yichen Yang, Wei Xia, Weiwei Zhao, Yanfeng Guo, Dawei Shen. Photoemission Spectroscopic Evidence of Multiple Dirac Cones in Superconducting BaSn [J]. Chin. Phys. Lett., 2021, 38(10): 107403. doi: 10.1088/0256-307X/38/10/107403 [3] 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 [J]. Chin. Phys. Lett., 2019, 36(6): 067201. doi: 10.1088/0256-307X/36/6/067201 [4] Junaid Ali Khan, Muhammad Asif Zahoor Raja, Ijaz Mansoor Qureshi. Novel Approach for a van der Pol Oscillator in the Continuous Time Domain [J]. Chin. Phys. Lett., 2011, 28(11): 110205. doi: 10.1088/0256-307X/28/11/110205 [5] ZHAO Lin, LIU Hai-Yun, ZHANG Wen-Tao, MENG Jian-Qiao, JIA Xiao-Wen, LIU Guo-Dong, DONG Xiao-Li, CHEN Gen-Fu, LUO Jian-Lin, WANG Nan-Lin, LU Wei, WANG Gui-Ling, ZHOU Yong, ZHU Yong, WANG Xiao-Yang, XU Zu-Yan, CHEN Chuang-Tian, ZHOU Xing-Jiang. Multiple Nodeless Superconducting Gaps in (Ba0.6K0.4)Fe2As2 Superconductor from Angle-Resolved Photoemission Spectroscopy [J]. Chin. Phys. Lett., 2008, 25(12): 4402-4405. [6] LIU Liao. Quantum de Sitter Spacetime and Energy Density Contributed from the Cosmological Constant [J]. Chin. Phys. Lett., 2008, 25(8): 2789-2790. [7] LI Kang, CHAMOUN Nidal. Van der Waals interactions and Photoelectric Effect in Noncommutative Quantum Mechanics [J]. Chin. Phys. Lett., 2007, 24(5): 1183-1186. [8] ZHANG Yun, JING Ji-Liang. Dirac Quasinormal Modes of the Schwarzschild--anti-de Sitter Black Hole with a Global Monopole [J]. Chin. Phys. Lett., 2005, 22(10): 2496-2499. [9] HOU Guang, HUANG Min-Xin, ZHANG Yong-De. Quantum Multiple Access Channel [J]. Chin. Phys. Lett., 2002, 19(1): 4-6. [10] WU Zhong-chao. Quantum Creation of a Schwarzschild-de Sitter Black Hole [J]. Chin. Phys. Lett., 1997, 14(4): 317-320.