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Published in: Rare Metals 5/2021

04-01-2015

Three-dimensional topological insulators: case of quaternary Heusler compounds

Authors: Xiao-Tian Wang, Xue-Fang Dai, Hong-Ying Jia, Li-Ying Wang, Guo-Dong Liu, Xi-Feng Liu, Wen Yuan, Yu-Ting Cui

Published in: Rare Metals | Issue 5/2021

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Abstract

The feasibility of converting quaternary Heusler compounds XX’MZ (X=Sc, La; X’=Sc, Y; M=Ru, Fe; Z=Pb) into three-dimensional topological insulators was investigated by first-principle calculations. It is found that the topological insulating state can be achieved in these quaternary Heusler compounds by the proper strain engineering or the substitution of elements. Most of these compounds investigated in this paper have a negative formation energy, which implies that they are possible to be synthesized in reality.

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Literature
[1]
go back to reference Zhang H, Liu CX, Qi XL, Fang Z, Zhang SC. Topological insulators in Bi2Se3, Bi2Te3 and Sb2Te3 with a single Dirac cone on the surface. Nat Phys. 2009;5(6):438.CrossRef Zhang H, Liu CX, Qi XL, Fang Z, Zhang SC. Topological insulators in Bi2Se3, Bi2Te3 and Sb2Te3 with a single Dirac cone on the surface. Nat Phys. 2009;5(6):438.CrossRef
[2]
go back to reference Hasan MZ, Kane CL. Colloquium: topological insulators. Rev Mod Phys. 2010;82(4):3045.CrossRef Hasan MZ, Kane CL. Colloquium: topological insulators. Rev Mod Phys. 2010;82(4):3045.CrossRef
[3]
[4]
go back to reference Liu Y, Ma Z, Zhao YF, Singh M, Wang J. Transport properties of topological insulators films and nanowires. Chin Phys B. 2013;22(6):067302.CrossRef Liu Y, Ma Z, Zhao YF, Singh M, Wang J. Transport properties of topological insulators films and nanowires. Chin Phys B. 2013;22(6):067302.CrossRef
[5]
go back to reference Zeng Z, Morgan TA, Fan D, Li C, Hirono Y, Hu X, Zhao YF, Lee JS, Wang J, Wang ZM, Yu S, Hawkridge EH, Hawkridge ME, Benamara M, Salamo GJ. Molecular beam epitaxial growth of Bi2Te3 and Sb2Te3 topological insulators on GaAs (111) substrates: a potential route to fabricate topological insulator p–n junction. AIP Adv. 2013;3(7):072112.CrossRef Zeng Z, Morgan TA, Fan D, Li C, Hirono Y, Hu X, Zhao YF, Lee JS, Wang J, Wang ZM, Yu S, Hawkridge EH, Hawkridge ME, Benamara M, Salamo GJ. Molecular beam epitaxial growth of Bi2Te3 and Sb2Te3 topological insulators on GaAs (111) substrates: a potential route to fabricate topological insulator p–n junction. AIP Adv. 2013;3(7):072112.CrossRef
[6]
go back to reference Moore JE, Balents L. Topological invariants of time-reversal invariant band structures. Phys Rev B. 2007;75(12):121306.CrossRef Moore JE, Balents L. Topological invariants of time-reversal invariant band structures. Phys Rev B. 2007;75(12):121306.CrossRef
[7]
go back to reference Fu L, Kane CL, Mele EJ. Topological insulators in three dimensions. Phys Rev Lett. 2007;98(10):106803.CrossRef Fu L, Kane CL, Mele EJ. Topological insulators in three dimensions. Phys Rev Lett. 2007;98(10):106803.CrossRef
[8]
go back to reference Roy R. Topological phases and the quantum spin Hall effect in three dimensions. Phys Rev B. 2009;79(19):195322.CrossRef Roy R. Topological phases and the quantum spin Hall effect in three dimensions. Phys Rev B. 2009;79(19):195322.CrossRef
[9]
go back to reference Wang J, DaSilva AM, Chang CZ, He K, Jain JK, Samarth N, Ma XC, Xue QK, Chan MH. Evidence for electron–electron interaction in topological insulator thin films. Phys Rev B. 2011;83(24):245438.CrossRef Wang J, DaSilva AM, Chang CZ, He K, Jain JK, Samarth N, Ma XC, Xue QK, Chan MH. Evidence for electron–electron interaction in topological insulator thin films. Phys Rev B. 2011;83(24):245438.CrossRef
[10]
go back to reference Hsieh D, Xia Y, Wray L, Qian D, Pal A, Dil JH, Osterwalder J, Meier F, Bihkmayer G, Kan CL, Hor YS, Cava RJ, Hasan MZ. Observation of unconventional quantum spin textures in topological insulators. Science. 2009;323(5916):919.CrossRef Hsieh D, Xia Y, Wray L, Qian D, Pal A, Dil JH, Osterwalder J, Meier F, Bihkmayer G, Kan CL, Hor YS, Cava RJ, Hasan MZ. Observation of unconventional quantum spin textures in topological insulators. Science. 2009;323(5916):919.CrossRef
[11]
go back to reference Hsieh D, Qian D, Wray L, Xia Y, Hor YS, Cava RJ, Hasan MZ. A topological Dirac insulator in a quantum spin Hall phase. Nature. 2008;452(7190):970.CrossRef Hsieh D, Qian D, Wray L, Xia Y, Hor YS, Cava RJ, Hasan MZ. A topological Dirac insulator in a quantum spin Hall phase. Nature. 2008;452(7190):970.CrossRef
[12]
go back to reference Xia Y, Qian D, Hsieh D, Wray L, Pal A, Lin H, Bansil A, Graner D, Hor YS, Cava RJ, Hasan MZ. Observation of a large-gap topological-insulator class with a single Dirac cone on the surface. Nat Phys. 2009;5(6):398.CrossRef Xia Y, Qian D, Hsieh D, Wray L, Pal A, Lin H, Bansil A, Graner D, Hor YS, Cava RJ, Hasan MZ. Observation of a large-gap topological-insulator class with a single Dirac cone on the surface. Nat Phys. 2009;5(6):398.CrossRef
[13]
go back to reference Hsieh D, McIver JW, Torchinsky DH, Gardner DR, Lee YS, Gedik N. Nonlinear optical probe of tunable surface electrons on a topological insulator. Phys Rev Lett. 2011;106(5):057401.CrossRef Hsieh D, McIver JW, Torchinsky DH, Gardner DR, Lee YS, Gedik N. Nonlinear optical probe of tunable surface electrons on a topological insulator. Phys Rev Lett. 2011;106(5):057401.CrossRef
[14]
go back to reference Xia Y, Qian D, Wray L, Hsieh D, Chen GF, Luo JL, Wang NL, Hasan MZ. Fermi surface topology and low-lying quasiparticle dynamics of parent Fe1+XTe/Se superconductor. Phys Rev Lett. 2009;103(3):037002.CrossRef Xia Y, Qian D, Wray L, Hsieh D, Chen GF, Luo JL, Wang NL, Hasan MZ. Fermi surface topology and low-lying quasiparticle dynamics of parent Fe1+XTe/Se superconductor. Phys Rev Lett. 2009;103(3):037002.CrossRef
[15]
go back to reference Sato T, Segawa K, Guo H, Sugawara K, Souma S, Takahashi T, Ando Y. Direct evidence for the Dirac-cone topological surface states in the ternary chalcogenide TlBiSe2. Phys Rev Lett. 2010;105(13):136802.CrossRef Sato T, Segawa K, Guo H, Sugawara K, Souma S, Takahashi T, Ando Y. Direct evidence for the Dirac-cone topological surface states in the ternary chalcogenide TlBiSe2. Phys Rev Lett. 2010;105(13):136802.CrossRef
[16]
go back to reference Zhang HJ, Chadov S, Müchler L, Yan B, Qi XL, Kübler J, Zhang SC, Felser C. Topological insulators in ternary compounds with a honeycomb lattice. Phys Rev Lett. 2011;106(15):156402.CrossRef Zhang HJ, Chadov S, Müchler L, Yan B, Qi XL, Kübler J, Zhang SC, Felser C. Topological insulators in ternary compounds with a honeycomb lattice. Phys Rev Lett. 2011;106(15):156402.CrossRef
[17]
go back to reference Sun Y, Chen XQ, Franchini C, Li DZ, Yunoki S, Li YY, Frang Z. Strain-driven onset of nontrivial topological insulating states in Zintl Sr2X compounds (X=Pb, Sn). Phys Rev B. 2011;84(16):165127.CrossRef Sun Y, Chen XQ, Franchini C, Li DZ, Yunoki S, Li YY, Frang Z. Strain-driven onset of nontrivial topological insulating states in Zintl Sr2X compounds (X=Pb, Sn). Phys Rev B. 2011;84(16):165127.CrossRef
[18]
go back to reference Zhang XM, Wang WH, Liu EK, Liu GD, Liu ZY, Wu GH. Influence of tetragonal distortion on the topological electronic structure of the half-Heusler compound LaPtBi from first principles. Appl Phys Lett. 2011;99(7):071901.CrossRef Zhang XM, Wang WH, Liu EK, Liu GD, Liu ZY, Wu GH. Influence of tetragonal distortion on the topological electronic structure of the half-Heusler compound LaPtBi from first principles. Appl Phys Lett. 2011;99(7):071901.CrossRef
[19]
go back to reference Feng WX, Yao YG. Three-dimensional topological insulators: a review on host materials. Sci China Phys Mech. 2012;55(12):2199.CrossRef Feng WX, Yao YG. Three-dimensional topological insulators: a review on host materials. Sci China Phys Mech. 2012;55(12):2199.CrossRef
[20]
go back to reference Zhang XM, Liu EK, Liu ZY, Liu GD, Wu GH, Wang WH. Prediction of topological insulating behavior in inverse Heusler compounds from first principles. Comp Mater Sci. 2013;70:145.CrossRef Zhang XM, Liu EK, Liu ZY, Liu GD, Wu GH, Wang WH. Prediction of topological insulating behavior in inverse Heusler compounds from first principles. Comp Mater Sci. 2013;70:145.CrossRef
[21]
go back to reference Wang XT, Dai XF, Jia HY, Wang LY, Liu R, Li Y, Liu XC, Zhang XM, Wang WH, Wu GH, Liu GD. The band inversion and topological insulating state of Heusler alloys:X2RuPb(X=Lu, Y). Acta Phys Sin. 2014;63(2):023101. Wang XT, Dai XF, Jia HY, Wang LY, Liu R, Li Y, Liu XC, Zhang XM, Wang WH, Wu GH, Liu GD. The band inversion and topological insulating state of Heusler alloys:X2RuPb(X=Lu, Y). Acta Phys Sin. 2014;63(2):023101.
[22]
go back to reference Chadov S, Qi X, Kübler J, Fecher GH, Felser C, Zhang SC. Tunable multifunctional topological insulators in ternary Heusler compounds. Nat Mater. 2010;9(7):541.CrossRef Chadov S, Qi X, Kübler J, Fecher GH, Felser C, Zhang SC. Tunable multifunctional topological insulators in ternary Heusler compounds. Nat Mater. 2010;9(7):541.CrossRef
[23]
go back to reference König M, Wiedmann S, Brüne C, Roth A, Buhmann H, Molenkamp LW, Qi XL, Zhang SC. Quantum spin Hall insulator state in HgTe quantum wells. Science. 2007;318(5851):766.CrossRef König M, Wiedmann S, Brüne C, Roth A, Buhmann H, Molenkamp LW, Qi XL, Zhang SC. Quantum spin Hall insulator state in HgTe quantum wells. Science. 2007;318(5851):766.CrossRef
[24]
go back to reference Dai X, Hughes TL, Qi XL, Fang Z, Zhang SC. Helical edge and surface states in HgTe quantum wells and bulk insulators. Phys Rev B. 2008;77(12):125319.CrossRef Dai X, Hughes TL, Qi XL, Fang Z, Zhang SC. Helical edge and surface states in HgTe quantum wells and bulk insulators. Phys Rev B. 2008;77(12):125319.CrossRef
[25]
go back to reference Wang XT, Dai XF, Jia HY, Wang LY, Zhang XM, Cui YT, Wang WH, Wu GH, Liu GD. Band inversion in Half Heusler-type Na1-xCsxAlGe(0 ≤ x ≤ 1). Acta Phys Sin. 2014;63(5):053103. Wang XT, Dai XF, Jia HY, Wang LY, Zhang XM, Cui YT, Wang WH, Wu GH, Liu GD. Band inversion in Half Heusler-type Na1-xCsxAlGe(0 ≤ x ≤ 1). Acta Phys Sin. 2014;63(5):053103.
[26]
go back to reference Qi XL, Zhang SC. The quantum spin Hall effect and topological insulators. Phys Today. 2010;63(1):33.CrossRef Qi XL, Zhang SC. The quantum spin Hall effect and topological insulators. Phys Today. 2010;63(1):33.CrossRef
[27]
go back to reference Zhu Z, Cheng Y, Schwingenschlögl U. Band inversion mechanism in topological insulators: a guideline for materials design. Phys Rev B. 2012;85(23):235401.CrossRef Zhu Z, Cheng Y, Schwingenschlögl U. Band inversion mechanism in topological insulators: a guideline for materials design. Phys Rev B. 2012;85(23):235401.CrossRef
[28]
go back to reference Singh DJ. Planewaves, Pseudopotentials and the LAPW Method. Boston: Kluwer Academic; 1994. 43. Singh DJ. Planewaves, Pseudopotentials and the LAPW Method. Boston: Kluwer Academic; 1994. 43.
[29]
go back to reference Tran F, Blaha P. Accurate band gaps of semiconductors and insulators with a semilocal exchange-correlation potential. Phys Rev Lett. 2009;102(22):226401.CrossRef Tran F, Blaha P. Accurate band gaps of semiconductors and insulators with a semilocal exchange-correlation potential. Phys Rev Lett. 2009;102(22):226401.CrossRef
[30]
go back to reference Perdew JP, Burke K, Ernzerhof M. Generalized gradient approximation made simple. Phys Rev Lett. 1996;77(18):3865.CrossRef Perdew JP, Burke K, Ernzerhof M. Generalized gradient approximation made simple. Phys Rev Lett. 1996;77(18):3865.CrossRef
[31]
go back to reference Zhu Z, Cheng Y, Schwingenschlögl U. Topological phase transition in layered GaS and GaSe. Phys Rev Lett. 2012;108(26):266805.CrossRef Zhu Z, Cheng Y, Schwingenschlögl U. Topological phase transition in layered GaS and GaSe. Phys Rev Lett. 2012;108(26):266805.CrossRef
[32]
go back to reference Qi XL, Zhang SC. Topological insulators and supercoductors. Rev Mod Phys. 2011;83(4):1057.CrossRef Qi XL, Zhang SC. Topological insulators and supercoductors. Rev Mod Phys. 2011;83(4):1057.CrossRef
[33]
go back to reference Gutsev GL, Andrews L, Bauschlicher CW Jr. Similarities and differences in the structure of 3d-metal monocarbides and monoxides. Theor Chem Acc. 2003;109(6):298.CrossRef Gutsev GL, Andrews L, Bauschlicher CW Jr. Similarities and differences in the structure of 3d-metal monocarbides and monoxides. Theor Chem Acc. 2003;109(6):298.CrossRef
[34]
go back to reference Zhang XM, Liu GD, Du Y, Liu EK, Wu GH, Liu ZY. Investigation on regulating the topological electronic structure of the half-Heusler compound LaPtBi. Acta Phys Sin. 2012;61(12):123101. Zhang XM, Liu GD, Du Y, Liu EK, Wu GH, Liu ZY. Investigation on regulating the topological electronic structure of the half-Heusler compound LaPtBi. Acta Phys Sin. 2012;61(12):123101.
Metadata
Title
Three-dimensional topological insulators: case of quaternary Heusler compounds
Authors
Xiao-Tian Wang
Xue-Fang Dai
Hong-Ying Jia
Li-Ying Wang
Guo-Dong Liu
Xi-Feng Liu
Wen Yuan
Yu-Ting Cui
Publication date
04-01-2015
Publisher
Nonferrous Metals Society of China
Published in
Rare Metals / Issue 5/2021
Print ISSN: 1001-0521
Electronic ISSN: 1867-7185
DOI
https://doi.org/10.1007/s12598-014-0421-1

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