Phys. Rev. B 72, 094306 (2005) [5 pages]Dimensional mismatch of the electron-phonon system and large polaron stabilityReceived 21 February 2005; revised 20 May 2005; published 30 September 2005 We consider the scaling arguments in the adiabatic limit for materials in which one-dimensional (1D) electronic behavior is influenced by a higher-dimensional vibrational system. The system under consideration consists of a collection of widely separated parallel molecular chains, perfectly one dimensional in respect to their electronic characteristics, embedded in a three-dimensional (3D) lattice. We found that dimensional mismatch between electronic subsystem and lattice may seriously affect polaron stability. For the realistic systems with anisotropic phonon spectrum large polaron stability requires that polaron radius cannot exceed some critical value which is of the order of the interchain spacing. Finally, large polaron stability criterion is formulated in dependence of the values of the basic system parameters. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.72.094306
DOI:
10.1103/PhysRevB.72.094306
PACS:
71.38.−k
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.