Fundamental Differences between Quantum Spin Hall Edge States at Zigzag and Armchair Terminations of Honeycomb and Ruby Nets

Laura Cano-Cortés, Carmine Ortix, and Jeroen van den Brink
Phys. Rev. Lett. 111, 146801 – Published 2 October 2013
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Abstract

Combining an analytical and numerical approach we investigate the dispersion of the topologically protected spin-filtered edge states of the quantum spin Hall state on honeycomb and ruby nets with zigzag (ZZ) and armchair (AC) edges. We show that the Fermi velocity of the helical edge states on ZZ edges increases linearly with the strength of the spin-orbit coupling (SOC) whereas for AC edges the Fermi velocity is independent of the SOC. Also the decay length of edge states into the bulk is dramatically different for AC and ZZ edges, displaying an inverse functional dependence on the SOC.

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  • Received 8 March 2013

DOI:https://doi.org/10.1103/PhysRevLett.111.146801

© 2013 American Physical Society

Authors & Affiliations

Laura Cano-Cortés1, Carmine Ortix1, and Jeroen van den Brink1,2

  • 1Institute for Theoretical Solid State Physics, IFW Dresden, 01171 Dresden, Germany
  • 2Department of Physics, TU Dresden, D-01062 Dresden, Germany

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Issue

Vol. 111, Iss. 14 — 4 October 2013

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