Topological Orders with Spins and Fermions by Laura Ortiz Martín

Author:Laura Ortiz Martín
Language: eng
Format: epub
ISBN: 9783030236496
Publisher: Springer International Publishing

5.2 Summary of Main Results

We develop analytical models for the generic helical edge states appearing at an isolated boundary and in the case of a finite width ribbon, where the overlap of the edge states on different boundaries plays an important role.

1.We calculate the spin structure of the generic helical edge states appearing at the boundary of 2D topological insulators without axial spin symmetry [30]. This lack of symmetry implies that the spin orientation varies with energy or equivalently with momentum k. One way to break axial spin symmetry is introducing spin-orbit coupling terms. Importantly, time reversal symmetry still ensures counterpropagating states to be Kramers partners with orthogonal spins, and the protection against elastic scattering is still preserved.

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