Edge states and topological insulating phases generated by curving a nanowire with Rashba spin-orbit coupling

Abstract

We prove that curvature effects in low-dimensional nanomaterials can promote the generation of topological states of matter by considering the paradigmatic example of quantum wires with Rashba spin-orbit coupling, which are periodically corrugated at the nanometer scale. The effect of the periodic curvature generally results in the appearance of insulating phases with a corresponding novel butterfly spectrum characterized by the formation of fine measure complex regions of forbidden energies. When the Fermi energy lies in the gaps, the system displays localized end states protected by topology. We further show that for certain corrugation periods the system possesses topologically non-trivial insulating phases at half-filling. Our results suggest that the local curvature and the topology of the electronic states are inextricably intertwined in geometrically deformed nanomaterials.

5 pages, 5 figures

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• Effective dynamics for a spin-1/2 particle constrained to a space curve in an electric and magnetic field
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• Josephson Current in Rashba-based Superconducting Nanowires with Geometric Misalignment
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• Angle-dependent Weiss oscillations in a nanocorrugated two-dimensional electron gas
• Effects of geometry on spin-orbit Kramers states in semiconducting nanorings
• Topological states in chiral electronic chains
• Higher Chern Number States in Curved Periodic Nanowires
• Engineering Topological Nodal Line Semimetals in Rashba Spin-Orbit Coupled Atomic Chains