Energy spectrum and broken spin-surface locking in topological insulator quantum dots

Details Energy spectrum and broken spin-surface locking in topological insulator quantum dots Energy spectrum and broken spin-surface locking in topological insulator quantum dots

2011-02-22

arxiv.org/abs/1102.4437v1

Phys. Rev. B 83, 125429 (2011)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

11 pages, 12 figures, to appear in Physical Review B (2011)

Scientific paper

We consider the energy spectrum and the spin-parity structure of the eigenstates for a quantum dot made of a strong topological insulator. Using the effective low-energy theory in a finite-length cylinder geometry, numerical calculations show that even at the lowest energy scales, the spin direction in a topologically protected surface mode is not locked to the surface. We find "zero-momentum" modes, and subgap states localized near the "caps" of the dot. Both the energy spectrum and the spin texture of the eigenstates are basically reproduced from an analytical surface Dirac fermion description. Our results are compared to microscopic calculations using a tight-binding model for a strong topological insulator in a finite-length nanowire geometry.

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