Journal of the Physical Society of Japan
Online ISSN : 1347-4073
Print ISSN : 0031-9015
ISSN-L : 0031-9015
Theory of Sound Wave and Phason in a Quasi One-Dimensional Incommensurate CDW System I. —Long-Range Coulnmb Effect
Yoshinori NakaneSatoshi Takada
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1985 年 54 巻 3 号 p. 977-988

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A microscopic theory of phason and sound wave is developed in a quasi one dimensional incommensulate CDW system within RPA. We prove a sum rule at finite temperatures, which means that a sum of screening due to the phason and that due to the quasiparticle excitations gives the same screening effect as that in a normal state. It leads to the same velocity of the sound wave as that in a normal state. Effects of quasi-particle screening on the dispersion of the phason are examined. As a consequence a singular behaviour is shown to result from velocities of thermally excited quasi-particles being too small to screen the induced charge of the phason near 0 K. The acoustic mode exists only above a cross-over temperature T2 besides an optic mode corresponding to the Goldstone mode which exists below Tc. This feature is similar to a superconductor in which the existence of the acoustic mode is well established both theoretically and experimentally.
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