2010
DOI: 10.1103/physrevb.82.125208
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Topological electronic structure in half-Heusler topological insulators

Abstract: We have investigated band structures of a series of 28 ternary half-Heusler compounds MMЈX of MgAgAs type, where M = ͑Lu, La, Sc, Y͒ and MЈX = ͑PtBi, AuPb, PdBi, PtSb, AuSn, NiBi, PdSb͒. Our results show that the Z 2 topological order is due to a single band inversion at the ⌫ point. In native states, these half-Heusler compounds are identified as being topologically nontrivial semimetals, or nontrivial metals, or trivial insulators, which can be turned into insulating thin films on suitable substrates. Our an… Show more

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Cited by 283 publications
(231 citation statements)
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References 37 publications
(24 reference statements)
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“…The prediction and discovery of topological insulators (TIs) [1][2][3][4][5][6][7][8][9][10][11][12][13] have triggered the quest for other classes of materials that host exotic quantum states, such as topological superconductors [14][15][16] and Weyl [17][18][19][20][21], Dirac [22][23][24][25][26], and nodal-line [27,28] semimetals. Similar to TIs, topological superconductors (TSCs) are characterized by a full paring gap in the bulk and topologically protected gapless states on the edge or surface that can support massless Majorana fermions [14,15,[29][30][31].…”
Section: Introductionmentioning
confidence: 99%
“…The prediction and discovery of topological insulators (TIs) [1][2][3][4][5][6][7][8][9][10][11][12][13] have triggered the quest for other classes of materials that host exotic quantum states, such as topological superconductors [14][15][16] and Weyl [17][18][19][20][21], Dirac [22][23][24][25][26], and nodal-line [27,28] semimetals. Similar to TIs, topological superconductors (TSCs) are characterized by a full paring gap in the bulk and topologically protected gapless states on the edge or surface that can support massless Majorana fermions [14,15,[29][30][31].…”
Section: Introductionmentioning
confidence: 99%
“…Although both YbO and YbS are metals under high pressure, we still can define the Z 2 topological invariant owing to finite local band gap over the entire BZ. 40 In fact, except the well-known topological metal bismuth, several more topological metals have been predicted, such as the nonmagnetic GdBiPt, 41 AuTlTe 2 ,…”
Section: Resultsmentioning
confidence: 99%
“…Without restriction one can include in such a search the whole class of ternary Heusler semiconducting materials (so-called half-Heusler semiconductors) which crystallize in the space group No. 216 and are different from binaries by having one more transition metal element [4,9,10] in their unit cell (see Fig. 1).…”
Section: Review @ Rrlmentioning
confidence: 99%
“…Z = A very interesting case is represented by the borderline compounds, such as YPdBi, YPtSb ( 56), Z = or LuPtSb ( 667) Z ª . [10], which exhibit the Dirac cone in the bulk, i.e. they can be easily switched between topological or trivial states by small variations of the stoichiometry or the lattice constant [4].…”
Section: Review @ Rrlmentioning
confidence: 99%