Prog. Theor. Phys. Vol. 39 No. 3 (1968) pp. 593-600
Lattice Vibration of a Linear Chain with Long-Range Interaction
Department of Physics, Kyoto University, Kyoto
(Received September 21, 1967)
Effects of long-range harmonic interaction on the localized model, resonance mode and the long-time statistical behavior of a monatomic linear chain which contains an isotopic impurity are investigated. It is shown that the condition for the appearance of the localized mode is not essentially affected by the long-range character of interaction, but the resonance mode and the long-time statistical behavior show some properties different from those obtained using a nearest-neighbor-interaction model.
DOI : 10.1143/PTP.39.593
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