Topological bulk-edge effects in quantum graph transport
Mathematical Physics
2020-05-20 v1 Mesoscale and Nanoscale Physics
math.MP
Quantum Physics
Abstract
We examine quantum transport in periodic quantum graphs with a vertex coupling non-invariant with respect to time reversal. It is shown that the graph topology may play a decisive role in the conductivity properties illustrating this claim with two examples. In the first, the transport is possible at high energies in the bulk only being suppressed at the sample edges, while in the second one the situation is opposite, the transport is possible at the edge only.
Cite
@article{arxiv.2001.10735,
title = {Topological bulk-edge effects in quantum graph transport},
author = {Pavel Exner and Jiri Lipovsky},
journal= {arXiv preprint arXiv:2001.10735},
year = {2020}
}
Comments
12 pages, 7 figures