Quantum Diffusion on Molecular Tubes: Universal Scaling of the 1D to 2D Transition
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PhysRevLett.116.196803.pdf
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443 KB
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Author(s)
Chuang, Chern
Lee, Chee Kong
Moix, Jeremy M.
Knoester, Jasper
Cao, Jianshu
Date Issued
May 2016
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Chuang, Chern, Chee Kong Lee, Jeremy M. Moix, Jasper Knoester, and Jianshu Cao. “Quantum Diffusion on Molecular Tubes: Universal Scaling of the 1D to 2D Transition.” Physical Review Letters 116, no. 19 (May 11, 2016). © 2016 American Physical Society
Version
Final published version
Abstract
The transport properties of disordered systems are known to depend critically on dimensionality. We study the diffusion coefficient of a quantum particle confined to a lattice on the surface of a tube, where it scales between the 1D and 2D limits. It is found that the scaling relation is universal and independent of the temperature, disorder, and noise parameters, and the essential order parameter is the ratio between the localization length in 2D and the circumference of the tube. Phenomenological and quantitative expressions for transport properties as functions of disorder and noise are obtained and applied to real systems: In the natural chlorosomes found in light-harvesting bacteria the exciton transfer dynamics is predicted to be in the 2D limit, whereas a family of synthetic molecular aggregates is found to be in the homogeneous limit and is independent of dimensionality.
MIT Department
Massachusetts Institute of Technology. Department of Chemistry
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DOI of Published Version
https://doi.org/10.1103/PhysRevLett.116.196803
