Effects of off-diagonal nonlinearity on the time evolution of an initially localized mode
- National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University, Nanjing 210093 (China)
- CCAST (World Laboratory), P.O. Box 8730, Beijing 100080 (China)
- Center for Advanced Studies in Science and Technology of Microstructure, Nanjing 210008 (China)
A modified one-dimensional nonlinear Schr{umlt o}dinger equation which includes off-diagonal nonlinearity is proposed to describe the behavior of electrons via electron-phonon couplings in the Su-Schrieffer-Heeger Hamiltonian. We find an interesting self-trapping phenomenon of electrons which takes place when the magnitude of the nonlinearity parameter is close to the value of the hopping integral. For a periodic lattice, the ballistic propagation of a wave packet is found in this modified one-dimensional nonlinear Schr{umlt o}dinger equation, and the propagation rate increases with the increase of nonlinearity parameter except in the self-trapping interval. When diagonal disorder is introduced, the electronic states are localized, and no delocalization effect of the off-diagonal nonlinearity is found. These results are quite different from that in the diagonal nonlinear lattice, where delocalization is found. {copyright} {ital 1997} {ital The American Physical Society}
- OSTI ID:
- 632559
- Journal Information:
- Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 56, Issue 4; Other Information: PBD: Oct 1997
- Country of Publication:
- United States
- Language:
- English
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