Quintanilla, Jorge and Campo, Vivaldo L (2007) Electron in a tangled chain: Multifractality at the small-world critical point. Physical Review B: Condensed Matter and Materials Physics, 75 (14). p. 1441204. ISSN 0163-1829. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)
We study a simple model of conducting polymers in which a single electron propagates through a randomly tangled chain. The model has the geometry of a small-world network, with a small density p of crossings of the chain acting as shortcuts for the electron. We use numerical diagonalization and simple analytical arguments to discuss the density of states, inverse participation ratios, and wave functions. We suggest that there is a critical point at p=0 and demonstrate finite-size scaling of the energy and wave functions at the lower band edge. The wave functions are multifractal. The critical exponent of the correlation length is consistent with criticality due to the small-world effect, as distinct from the previously discussed, dimensionality-driven Anderson transition.
|Subjects:||Q Science > QC Physics|
|Divisions:||Faculties > Science Technology and Medical Studies > School of Physical Sciences > Functional Materials Group|
|Depositing User:||Jorge Quintanilla|
|Date Deposited:||14 Oct 2010 14:37|
|Last Modified:||07 May 2014 10:59|
|Resource URI:||https://kar.kent.ac.uk/id/eprint/25611 (The current URI for this page, for reference purposes)|