Express Letter
Molybdenum Carbide: A Stable Topological Semimetal with Line Nodes and Triply Degenerate Points
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Abstract
We propose that the hexagonal crystal form of MoC is a stable and new type of topological semimetal. It hosts an exotic Fermi surface consisting of two concentric nodal rings in the presence of spin-orbit coupling, and possesses four pairs of triply degenerate points (TDPs) in the vicinity of the Fermi energy. The coexistence of the nodal ring Fermi surface and TDPs in MoC leads to extraordinary properties such as distinguishable drumhead surface states and manipulatable new fermions, which make MoC a fertile platform for in-depth understanding of topological phenomena and a potential candidate material for topological electronic devices. -
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References
[1] Fu L, Kane C L and Mele E J 2007 Phys. Rev. Lett. 98 106803 doi: 10.1103/PhysRevLett.98.106803[2] Moore J E and Balents L 2007 Phys. Rev. B 75 121306 doi: 10.1103/PhysRevB.75.121306[3] Roy R 2009 Phys. Rev. B 79 195322 doi: 10.1103/PhysRevB.79.195322[4] Hasan M Z and Kane C L 2010 Rev. Mod. Phys. 82 3045 doi: 10.1103/RevModPhys.82.3045[5] Qi X L and Zhang S C 2010 Phys. Today 63 33 doi: 10.1063/1.3293411[6] Qi X L and Zhang S C 2011 Rev. Mod. Phys. 83 1057 doi: 10.1103/RevModPhys.83.1057[7] Hořava P 2005 Phys. Rev. Lett. 95 016405 doi: 10.1103/PhysRevLett.95.016405[8] Wan X, Turner A M, Vishwanath A and Savrasov S Y 2011 Phys. Rev. B 83 205101 doi: 10.1103/PhysRevB.83.205101[9] Xu G, Weng H, Wang Z, Dai X and Fang Z 2011 Phys. Rev. Lett. 107 186806 doi: 10.1103/PhysRevLett.107.186806[10] Weng H M, Fang C, Fang Z, Bernevig B A and Dai X 2015 Phys. Rev. X 5 011029 doi: 10.1103/PhysRevX.5.011029[11] 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[12] Lv B Q, Xu N, Weng H M, Ma J Z, Richard P, Huang X C, Zhao L X, Chen G F, Matt C E, Bisti F, Strocov V N, Mesot J, Fang Z, Dai X, Qian T, Shi M and Ding H 2015 Nat. Phys. 11 724 doi: 10.1038/nphys3426[13] 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[14] 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[15] 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[16] Wang Z, Weng H, Wu Q, Dai X and Fang Z 2013 Phys. Rev. B 88 125427 doi: 10.1103/PhysRevB.88.125427[17] Burkov A A, Hook M D and Balents L 2011 Phys. Rev. B 84 235126 doi: 10.1103/PhysRevB.84.235126[18] Weng H, Liang Y, Xu Q, Yu R, Fang Z, Dai X and Kawazoe Y 2015 Phys. Rev. B 92 045108 doi: 10.1103/PhysRevB.92.045108[19] Yu R, Weng H, Fang Z, Dai X and Hu X 2015 Phys. Rev. Lett. 115 036807 doi: 10.1103/PhysRevLett.115.036807[20] Kim Y, Wieder B J, Kane C L and Rappe A M 2015 Phys. Rev. Lett. 115 036806 doi: 10.1103/PhysRevLett.115.036806[21] Bian G, Chang T R, Sankar R, Xu S Y, Zheng H, Neupert T, Chiu C K, Huang S M, Chang G, Belopolski I, Sanchez D S, Neupane M, Alidoust N, Liu C, Wang B, Lee C C, Jeng H T, Zhang C, Yuan Z, Jia S, Bansil A, Chou F, Lin H and Hasan M Z 2016 Nat. Commun. 7 10556 doi: 10.1038/ncomms10556[22] Bian G, Chang T R, Zheng H, Velury S, Xu S Y, Neupert T, Chiu C K, Huang S M, Sanchez D S, Belopolski I, Alidoust N, Chen P J, Chang G, Bansil A, Jeng H T, Lin H and Hasan M Z 2016 Phys. Rev. B 93 121113 doi: 10.1103/PhysRevB.93.121113[23] Chan Y H, Chiu C K, Chou M Y and Schnyder A P 2016 Phys. Rev. B 93 205132 doi: 10.1103/PhysRevB.93.205132[24] Takane D, Wang Z, Souma S, Nakayama K, Trang C X, Sato T, Takahashi T and Ando Y 2016 Phys. Rev. B 94 121108 doi: 10.1103/PhysRevB.94.121108[25] 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[26] Weng H, Fang C, Fang Z and Dai X 2016 Phys. Rev. B 93 241202 doi: 10.1103/PhysRevB.93.241202[27] Zhu Z, Winkler G W, Wu Q, Li J and Soluyanov A A 2016 Phys. Rev. X 6 031003 doi: 10.1103/PhysRevX.6.031003[28] Weng H, Fang C, Fang Z and Dai X 2016 Phys. Rev. B 94 165201 doi: 10.1103/PhysRevB.94.165201[29] Winkler G W, Wu Q, Troyer M, Krogstrup P and Soluyanov A A 2016 Phys. Rev. Lett. 117 076403 doi: 10.1103/PhysRevLett.117.076403[30] Zaheer S, Young S M, Cellucci D, Teo J C Y, Kane C L, Mele E J and Rappe A M 2013 Phys. Rev. B 87 045202 doi: 10.1103/PhysRevB.87.045202[31] Kresse G and Furthmüller J 1996 Phys. Rev. B 54 11169 doi: 10.1103/PhysRevB.54.11169[32] Perdew J P, Burke K and Ernzerhof M 1996 Phys. Rev. Lett. 77 3865 doi: 10.1103/PhysRevLett.77.3865[33] Blöchl P E 1994 Phys. Rev. B 50 17953 doi: 10.1103/PhysRevB.50.17953[34] Monkhorst H J and Pack J D 1976 Phys. Rev. B 13 5188 doi: 10.1103/PhysRevB.13.5188[35] Kuo K and Hägg G 1952 Nature 170 245 doi: 10.1038/170245a0[36] Clougherty E V, Lothrop K H and Kafalas J A 1961 Nature 191 1194 doi: 10.1038/1911194a0[37] Friedrich A, Morgenroth W, Bayarjargal L, Juarez-Arellano E A, Winkler B and Konôpková Z 2013 High Press. Res. 33 633 doi: 10.1080/08957959.2013.813943[38] Litinskii L 1989 Solid State Commun. 71 299 doi: 10.1016/0038-10988991018-1[39] Litinskii L 1 1990 Solid State Commun. 75 1009 doi: 10.1016/0038-10989090777-9[40] Örlygsson G and Harbrecht B 2001 J. Am. Chem. Soc. 123 4168 doi: 10.1021/ja004164r[41] Parlinski K, Li Z Q and Kawazoe Y 1997 Phys. Rev. Lett. 78 4063 doi: 10.1103/PhysRevLett.78.4063[42] Togo A, Oba F and Tanaka I 2008 Phys. Rev. B 78 134106 doi: 10.1103/PhysRevB.78.134106[43] Fang C, Chen Y, Kee H Y and Fu L 2015 Phys. Rev. B 92 081201 doi: 10.1103/PhysRevB.92.081201[44] Soluyanov A A and Vanderbilt D 2011 Phys. Rev. B 83 235401 doi: 10.1103/PhysRevB.83.235401[45] Yu R, Qi X L, Bernevig A, Fang Z and Dai X 2011 Phys. Rev. B 84 075119 doi: 10.1103/PhysRevB.84.075119[46] Ringel Z, Kraus Y E and Stern A 2012 Phys. Rev. B 86 045102 doi: 10.1103/PhysRevB.86.045102[47] Marzari N and Vanderbilt D 1997 Phys. Rev. B 56 12847 doi: 10.1103/PhysRevB.56.12847[48] Souza I, Marzari N and Vanderbilt D 2001 Phys. Rev. B 65 035109 doi: 10.1103/PhysRevB.65.035109 -
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