P Like Stationary Self-Lacalized Modes in Pure One-Dimensional Lattice with Quartic Lattice Anharmonicity

概要

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A pure one-dimensional anharmonic lattice with quartic lattice anharmonicity andnearest neighbour interactions is shown to exhibit a 7t-like stationary self-localizedmode. This is an intrinsic nonlinear mode with eigenfrequenc)' higher than that of an.s-like mode to which attention has been focussed so far. l'king the displacementdifferences between nearest neighbour pairs of atoms as relevttnt field variables leadsto a much simpler formulation as compared to the case of the .s'-like mode. By introducing lattice Green's functions and using a rotating-wave approximation (RWA),analytical expressions are obtained for the eigenfrequency ancl eigenfuntions for a p-like mode appearing far above the harmonic frequency band. The RWA itself is alsoexamined to show that it is a good and working approximationt procedure for anharmonic-localized-mode pro blems .
社団法人日本物理学会の論文
1990-11-15