Abstract
Phonon localized modes in a homogeneous anharmonic lattice chain are investigated with the coherent-state method. By making a long-wavelength approximation, we find that the equation of motion for boson operators is a modified Schr\"odinger equation. Envelope-kink phonon localized modes are obtained. These modes lie very near the top of the band and have a small energy gap. In the low-temperature limit, they make an extra contribution to the crystal specific heat. Whether these envelope-soliton phonon localized modes are intrinsic localized modes is also discussed.
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