We address the subject of transport in one-dimensional ballistic polygon loops subject to Rashba spin-orbit coupling. We identify the role played by the polygon vertices in the accumulation of spin-related phases by studying interference effects as a function of the spin-orbit coupling strength. We find that the vertices act as strong spin-scattering centers that hinder the developing of Aharovov-Casher and Berry phases. In particular, we show that the oscillation frequency of interference pattern can be doubled by modifying the shape of the loop from a square to a circle.
@article{arxiv.cond-mat/0505750,
title = {Signatures of spin-related phases in transport through regular polygons},
author = {Dario Bercioux and Diego Frustaglia and Michele Governale},
journal= {arXiv preprint arXiv:cond-mat/0505750},
year = {2009}
}