Adiabatic transformation as a search tool for new topological insulators: distorted ternary Li${}_2$AgSb-class semiconductors and related compounds

Abstract

We demonstrate that first-principles based adiabatic continuation approach is a very powerful and efficient tool for constructing topological phase diagrams and locating non-trivial topological insulator materials. Using this technique, we predict that the ternary intermetallic series Li${}_2{M}^{\prime }X$ where $M^{\prime }$=Cu, Ag, Au, or Cd, and $X$=Sb, Bi, or Sn, hosts a number of topological insulators with remarkable functional variants and tunability. We also predict that several III-V semimetallic compounds are topologically non-trivial. We construct a topological phase diagram in the parameter space of the atomic numbers of atoms in Li${}_2{M}^{\prime }X$ compounds, which places a large number of topological materials presented in this work as well as in earlier studies within a single unified topological framework. Our results demonstrate the efficacy of adiabatic continuation as a useful tool for exploring topologically nontrivial alloying systems and for identifying new topological insulators even when the underlying lattice does not possess inversion symmetry, and the approaches based on parity analysis are not viable.

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Cited by in corpus (6)

• Colloquium: Topological Band Theory
• Thermoelectric properties of semimetals
• High-throughput Discovery of Topologically Non-trivial Materials using Spin-orbit Spillage
• Semiconductor, topological semimetal, indirect semimetal, and topological Dirac semimetal phases of Ge${}_{1-x}$Sn${}_x$ alloys
• Photo-induced SU(3) topological material of spinless fermions
• Spin-orbit density wave: A new phase of matter applicable to the hidden order state of URu2Si2