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Full Record Details
Persistent URL
http://purl.org/net/epubs/work/37286
Record Status
Checked
Record Id
37286
Title
Electron in a tangled chain: multifractality at the small-world critical point
Contributors
J Quintanilla (CCLRC Rutherford Appleton Lab.)
,
VL Campo (Instituto de Fisica de Sao Carlos, Universidad de Sao Paulo)
Abstract
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.
Organisation
CCLRC
,
ISIS
,
ISIS-THEORY
Keywords
Physics
,
89.75.Hc
,
73.20.Fz
,
ISIS 2007
Funding Information
Related Research Object(s):
Licence Information:
Language
English (EN)
Type
Details
URI(s)
Local file(s)
Year
Journal Article
Phys Rev B
75 (2007): 144204.
doi:10.1103/PhysRevB.75.144204
2007
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