Topological bulk-edge effects in quantum graph transport

• URL: http://arxiv.org/abs/2001.10735v1
• Date: Wed, 29 Jan 2020 09:11:31 GMT
• Title: Topological bulk-edge effects in quantum graph transport
• Authors: Pavel Exner, Jiri Lipovsky
• Abstract summary: We show that the graph topology may play a decisive role in the conductivity properties illustrating this claim. 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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