Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2011-08-16
Phys. Rev. Lett. 108, 106403 (2012)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
5 pages, 2 figures; version accepted in Physical Review Letters
Scientific paper
10.1103/PhysRevLett.108.106403
We show that the pi-flux and the dislocation represent topological observables that probe two-dimensional topological order through binding of the zero-energy modes. We analytically demonstrate that pi-flux hosts a Kramers pair of zero modes in the topological Gamma (Berry phase skyrmion at the zero momentum) and M (Berry phase skyrmion at a finite momentum) phases of the M-B model introduced for the HgTe quantum spin Hall insulator. Furthermore, we analytically show that the dislocation acts as a pi-flux, but only so in the M phase. Our numerical analysis confirms this through a Kramers pair of zero modes bound to a dislocation appearing in the M phase only, and further demonstrates the robustness of the modes to disorder and the Rashba coupling. Finally, we conjecture that by studying the zero modes bound to dislocations all translationally distinguishable two-dimensional topological band insulators can be classified.
Juricic Vladimir
Mesaros Andrej
Slager Robert-Jan
Zaanen Jan
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