Dimensional mismatch of the electron-phonon system and large polaron stability
Abstract
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.
Source:
Physical Review B: Condensed Matter and Materials Physics, 2005, 72, 9
DOI: 10.1103/PhysRevB.72.094306
ISSN: 1098-0121
WoS: 000232228500057
Scopus: 2-s2.0-29644439104
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Institution/Community
VinčaTY - JOUR AU - Ivić, Zoran AU - Brown, DW AU - Kircan, M PY - 2005 UR - https://vinar.vin.bg.ac.rs/handle/123456789/2935 AB - 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. T2 - Physical Review B: Condensed Matter and Materials Physics T1 - Dimensional mismatch of the electron-phonon system and large polaron stability VL - 72 IS - 9 DO - 10.1103/PhysRevB.72.094306 ER -
@article{ author = "Ivić, Zoran and Brown, DW and Kircan, M", year = "2005", abstract = "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.", journal = "Physical Review B: Condensed Matter and Materials Physics", title = "Dimensional mismatch of the electron-phonon system and large polaron stability", volume = "72", number = "9", doi = "10.1103/PhysRevB.72.094306" }
Ivić, Z., Brown, D.,& Kircan, M.. (2005). Dimensional mismatch of the electron-phonon system and large polaron stability. in Physical Review B: Condensed Matter and Materials Physics, 72(9). https://doi.org/10.1103/PhysRevB.72.094306
Ivić Z, Brown D, Kircan M. Dimensional mismatch of the electron-phonon system and large polaron stability. in Physical Review B: Condensed Matter and Materials Physics. 2005;72(9). doi:10.1103/PhysRevB.72.094306 .
Ivić, Zoran, Brown, DW, Kircan, M, "Dimensional mismatch of the electron-phonon system and large polaron stability" in Physical Review B: Condensed Matter and Materials Physics, 72, no. 9 (2005), https://doi.org/10.1103/PhysRevB.72.094306 . .