SciPost Submission Page
Topological chiral modes in random scattering networks
by Pierre A. L. Delplace
|As Contributors:||Pierre Delplace|
|Submitted by:||Delplace, Pierre|
|Submitted to:||SciPost Physics|
|Subject area:||Condensed Matter Physics - Theory|
Using graph theory, we show the existence of interface chiral modes in random oriented scattering networks and discuss their topological nature. For particular regular networks (e.g. L-lattice, Kagome and triangular networks), an explicit mapping with time-periodically driven (Floquet) tight-binding models is found. In that case, the interface chiral modes are identified as the celebrated anomalous edge states of Floquet topological insulators and their existence is enforced by a symmetry imposed by the associated network.