Wave Localization on Complex Networks

Richard Berkovits; Lukas Jahnke; Jan W. Kantelhardt

doi:10.1007/978-0-8176-4904-3_4

Wave Localization on Complex Networks

Richard Berkovits, Lukas Jahnke, Jan W. Kantelhardt

Department of Physics

Martin Luther University Halle-Wittenberg

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

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.

Original language	English
Title of host publication	Towards an Information Theory of Complex Networks
Editors	Matthias Dehmer, Frank Emmert-Streib, Alexander Mehler
Publisher	Birkhäuser Boston
Pages	75-96
Number of pages	22
ISBN (Electronic)	978-0-8176-4904-3
ISBN (Print)	978-0-8176-4903-6
DOIs	https://doi.org/10.1007/978-0-8176-4904-3_4
State	Published - 11 Jun 2011

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10.1007/978-0-8176-4904-3_4

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Wave Localization on Complex Networks

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