### Abstract

A nonlinear amplitude-phase interaction Hamiltonian is derived for charge-density-wave (CDW) systems from the microscopic Fröhlich model. A perturbative formalism with the small parameter 1/√μ (μ is the dimensionless mass parameter of a CDW) is presented, and illustrated by calculating the amplitude-mode spectrum in one dimension. The calculation gives, without adjustable parameters, a quantitative explanation of the temperature dependence of the damping constant observed in KCP by Raman experiments. This result, together with the calculation of the metallic conductivity of TTF-TCNQ (S. Kurihara: J. Phys. Soc. Jpn. 44 (1978) 2011.), shows the importance of the nonlinear amplitude-phase interactions in CDW systems. It is suggested that some other dynamical degrees of freedom (most probably the motion of water molecules) should be taken into account to understand the behavior of the amplitude-mode frequency in KCP.

Original language | English |
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Pages (from-to) | 1821-1828 |

Number of pages | 8 |

Journal | Journal of the Physical Society of Japan |

Volume | 48 |

Issue number | 6 |

Publication status | Published - 1980 Jun |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Journal of the Physical Society of Japan*,

*48*(6), 1821-1828.

**Nonlinear amplitude-phase interaction in charge-density-wave systems.** / Kurihara, Susumu.

Research output: Contribution to journal › Article

*Journal of the Physical Society of Japan*, vol. 48, no. 6, pp. 1821-1828.

}

TY - JOUR

T1 - Nonlinear amplitude-phase interaction in charge-density-wave systems

AU - Kurihara, Susumu

PY - 1980/6

Y1 - 1980/6

N2 - A nonlinear amplitude-phase interaction Hamiltonian is derived for charge-density-wave (CDW) systems from the microscopic Fröhlich model. A perturbative formalism with the small parameter 1/√μ (μ is the dimensionless mass parameter of a CDW) is presented, and illustrated by calculating the amplitude-mode spectrum in one dimension. The calculation gives, without adjustable parameters, a quantitative explanation of the temperature dependence of the damping constant observed in KCP by Raman experiments. This result, together with the calculation of the metallic conductivity of TTF-TCNQ (S. Kurihara: J. Phys. Soc. Jpn. 44 (1978) 2011.), shows the importance of the nonlinear amplitude-phase interactions in CDW systems. It is suggested that some other dynamical degrees of freedom (most probably the motion of water molecules) should be taken into account to understand the behavior of the amplitude-mode frequency in KCP.

AB - A nonlinear amplitude-phase interaction Hamiltonian is derived for charge-density-wave (CDW) systems from the microscopic Fröhlich model. A perturbative formalism with the small parameter 1/√μ (μ is the dimensionless mass parameter of a CDW) is presented, and illustrated by calculating the amplitude-mode spectrum in one dimension. The calculation gives, without adjustable parameters, a quantitative explanation of the temperature dependence of the damping constant observed in KCP by Raman experiments. This result, together with the calculation of the metallic conductivity of TTF-TCNQ (S. Kurihara: J. Phys. Soc. Jpn. 44 (1978) 2011.), shows the importance of the nonlinear amplitude-phase interactions in CDW systems. It is suggested that some other dynamical degrees of freedom (most probably the motion of water molecules) should be taken into account to understand the behavior of the amplitude-mode frequency in KCP.

UR - http://www.scopus.com/inward/record.url?scp=30344463925&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=30344463925&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:30344463925

VL - 48

SP - 1821

EP - 1828

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 6

ER -