In this chapter we consider the role played by Anderson localization in transport through complex networks, for example, an optical network. The network is described by a tight binding Hamiltonian, which may be used to determine the properties of the Anderson transition according to the statistical properties of its eigenvalues. The Anderson transition properties of different complex networks will be studied, emphasizing the role played by clustering on the localization of waves. We shall show that new complex topologies lead to novel physics, specifically clustering may lead to localization.
|Title of host publication||Towards an Information Theory of Complex Networks|
|Editors||Matthias Dehmer, Frank Emmert-Streib, Alexander Mehler|
|Number of pages||22|
|State||Published - 11 Jun 2011|