Pentagonal SnTe-class nanowires with cationic twin planes are predicted to host two spatially separated helical Dirac modes, one at the core and one at the outer surface.
The topological-crystalline-insulator (Pb,Sn)Te - surface states and their spin-polarization
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abstract
Using a tight-binding approach we study theoretically the nature of surface states in Pb0.4Sn0.6Te - the newly discovered topological-crystalline-insulator. Apart from the studied before (001) surface states, two other surface families, {011} and {111}, in which the mirror symmetry of the crystal's rock-salt structure plays the same role in topological protection, are considered. Our calculations show that while in (111) surface states of (Pb,Sn)Te four single topologically protected Dirac-cones should appear, for the (110) surface states the protection is lifted for two L points. In this case, instead of the Dirac points energy gaps occur in the surface states, due to the interaction between the two L valleys. In all studied cases a chiral spin texture is obtained.
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One-dimensional Dirac modes in the core of a pentagonal topological crystalline insulator nanowire
Pentagonal SnTe-class nanowires with cationic twin planes are predicted to host two spatially separated helical Dirac modes, one at the core and one at the outer surface.