Electronic structure and hinge states of strained half-Heusler compounds LiSbZn and LiBiZn

Abstract

Half-Heusler compounds are a class of materials with great potential for the study of distinct electronic states. In this work, we investigate, from first-principles, the possibility of hinge modes in closely related topological phases that are tunable by moderate uni-axial strain. We consider two compounds: LiSbZn and LiBiZn. While LiSbZn has a topologically trivial band structure, the larger spin-orbit coupling of Bi causes a band inversion in LiBiZn. We predict the existence of topologically trivial hinge states in both cases. The hinge modes are affected by both the crystal termination, and the bulk topological phase transitions, albeit indirectly: When present, topological surface modes hybridize with the hinge states and obscure their visibility. Thus, we find that the most visible hinge modes occur when no band inversions are present in the material. Our work highlights the interplay and competition between surface and hinge modes in half-Heuslers, and may help guide the experimental search for robust boundary signatures in these materials.

arXiv comment12 pages, 8 figures, published version

References in corpus (52)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Topological Insulators with Inversion Symmetry
• Quantized Electric Multipole Insulators
• Higher-Order Topological Insulators
• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• Kwant: a software package for quantum transport
• Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
• $(d-2)$-dimensional edge states of rotation symmetry protected topological states
• Reflection symmetric second-order topological insulators and superconductors
• Tunable Multifunctional Topological Insulators in Ternary Heusler Compounds
• Higher-order topological insulators and semimetals on the breathing Kagome and pyrochlore lattices
• Higher-Order Topology in Bismuth
• A new platform for topological quantum phenomena : Topological Insulator states in thermoelectric Heusler-related ternary compounds
• The chiral anomaly and thermopower of Weyl fermions in the half-Heusler GdPtBi
• Quantum Hall Effect from the Topological Surface States of Strained Bulk HgTe
• Half-Heusler Compounds as a New Class of Three-Dimensional Topological Insulators
• SU(2) Non-Abelian Holonomy and Dissipationless Spin Current in Semiconductors
• Higher-Order Topology, Monopole Nodal Lines, and the Origin of Large Fermi Arcs in Transition Metal Dichalcogenides XTe${}_2$ (X=Mo,W)
• Symmetry-protected ideal Weyl semimetal in HgTe-class materials
• Non-Fermi liquid and topological states with strong spin-orbit coupling
• Strong and Fragile Topological Dirac Semimetals with Higher-Order Fermi Arcs
• Helical edge and surface states in HgTe quantum wells and bulk insulators
• Higher-Order Weyl Semimetals
• An anomalous higher-order topological insulator
• Topological Quadrupolar Semimetals
• Higher-order Weyl Semimetals
• Topological phases without crystalline counterparts
• The chiral anomaly factory: Creating Weyl fermions with a magnetic field
• Evidence of Higher Order Topology in Multilayer WTe${}_2$ from Josephson Coupling through Anisotropic Hinge States
• Superconductivity in three-dimensional spin-orbit coupled semimetals
• Resolving the Topological Classification of Bismuth with Topological Defects
• Topological superconductivity of spin-3/2 carriers in a three-dimensional doped Luttinger semimetal
• Theoretical search for half-Heusler topological insulators
• Partial lattice defects in higher order topological insulators
• Observation of a topologically non-trivial surface state in half-Heusler PtLuSb (001) thin films
• Topological invariants and corner states for Hamiltonians on a three-dimensional lattice
• Model Hamiltonian and Time Reversal Breaking Topological Phases of Anti-ferromagnetic Half-Heusler Materials
• Dirac semimetal phase in the hexagonal LiZnBi
• Higher-order topological insulators in antiperovskites
• Classification of Dirac points with higher-order Fermi arcs
• Bulk-boundary-defect correspondence at disclinations in rotation-symmetric topological insulators and superconductors
• Irradiated three-dimensional Luttinger semimetal: A factory for engineering Weyl semimetals
• Noncentrosymmetric topological Dirac semimetals in three dimensions
• Strain engineered higher order topological phases for spin-3/2 Luttinger fermions
• Higher-order Weyl superconductors with anisotropic Weyl-point connectivity
• Tuning the topological character of half-Heusler systems: A comparative study on Y$T$Bi ($T$ = Pd, Pt)
• Higher-order topological semimetals and nodal superconductors with an order-two crystalline symmetry
• Network model for higher-order topological phases
• Revisiting the physical origin and nature of surface states in inverted-band semiconductors
• Hybrid symmetry class topological insulators
• Reentrant topological phase in half-Heusler compounds