Stationary localized states due to a nonlinear dimeric impurity embedded in a perfect one-dimensional chain

Journal Article · Thu May 01 04:00:00 EDT 1997 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.55.11033· OSTI ID:496705

Gupta, B C; Kundu, K ^[1]

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1. Institute of Physics, Bhubaneswar 751 005 (India)

The formation of stationary localized states due to a power law nonlinear dimeric impurity embedded in a perfect one-dimensional chain is studied here using the appropriate discrete nonlinear Schr{umlt o}dinger equation. A proper ansatz is introduced in the appropriate Hamiltonian to obtain the reduced effective Hamiltonian. The Hamiltonian contains a parameter, {beta}={phi}{sub 1}/{phi}{sub 0}, which is the ratio of stationary amplitudes at impurity sites. Relevant equations for localized states are obtained from the fixed point of the reduced dynamical system. The complete phase diagram in the ({chi},{sigma}) plane for all permissible values of {vert_bar}{beta}{vert_bar}{le}1 is obtained. Furthermore, the maximum number of localized states is found to be 6. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 496705
• Journal Information: Physical Review, B: Condensed Matter, Journal Name: Physical Review, B: Condensed Matter Journal Issue: 17 Vol. 55; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CRYSTAL MODELS
DIMERS
ENERGY LEVELS
IMPURITIES
NONLINEAR PROBLEMS
ONE-DIMENSIONAL CALCULATIONS