Surface and Edge States in Topological Semi-metals

Abstract

We study the topologically non-trivial semi-metals by means of the 6-band Kane model. Existence of surface states is explicitly demonstrated by calculating the LDOS on the material surface. In the strain free condition, surface states are divided into two parts in the energy spectrum, one part is in the direct gap, the other part including the crossing point of surface state Dirac cone is submerged in the valence band. We also show how uni-axial strain induces an insulating band gap and raises the crossing point from the valence band into the band gap, making the system a true topological insulator. We predict existence of helical edge states and spin Hall effect in the thin film topological semi-metals, which could be tested with future experiment. Disorder is found to significantly enhance the spin Hall effect in the valence band of the thin films.

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Cited by in corpus (21)

• Topological Materials: Weyl Semimetals
• Observation of Unusual Topological Surface States in Half-Heusler Compounds LnPtBi (Ln=Lu, Y)
• Bogoliubov Fermi surfaces: General theory, magnetic order, and topology
• Topological insulator and the Dirac equation
• Surface-edge state and half quantized Hall conductance in topological insulators
• Half-Heusler topological insulators
• Inflated nodes and surface states in superconducting half-Heusler compounds
• Spin-helical transport in normal and superconducting topological insulators
• Non-trivial Surface-band Dispersion on Bi(111)
• Ab initio study of topological surface states of strained HgTe
• Topological surface states on Bi(111) based on empirical tight-binding calculations
• Pure spin current devices based on ferromagnetic topological insulators
• Non-linear ballistic response of quantum spin-Hall edge states
• Surface-state spin textures in strained bulk HgTe: strain-induced topological phase transitions
• Absence of helical surface states in bulk semimetals with broken inversion symmetry
• Hybridization of topological surface states with a flat band
• Strained HgTe: a textbook 3D topological insulator
• Substrate-limited helical edge states
• Nonlinear planar magnetotransport as a probe of the topology of surface states
• Unidirectional magneto-transport of linearly dispersing topological edge states
• Band inversion transition in HgTe nanowire grown along the [001] direction