Effects of off-diagonal nonlinearity on the time evolution of an initially localized mode

Journal Article · Wed Oct 01 04:00:00 EDT 1997 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.56.4744· OSTI ID:632559

Pan, Z; Xiong, S; Gong, C ^[1]; Xiong, S; Gong, C ^[2]; Xiong, S; Gong, C ^[3]

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1. National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University, Nanjing 210093 (China)
2. CCAST (World Laboratory), P.O. Box 8730, Beijing 100080 (China)
3. 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, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 4 Vol. 56; ISSN 1063-651X; ISSN PLEEE8
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
EDGE LOCALIZED MODES
ELECTRON-PHONON COUPLING
ELECTRONS
HAMILTONIANS
NONLINEAR PROBLEMS
ONE-DIMENSIONAL CALCULATIONS
SCHROEDINGER EQUATION
TRAPPING
WAVE PACKETS
WAVE PROPAGATION