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Collective excitations in the anharmonic crystal

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  • Verbeure, A
  • Zagrebnov, V.A

Abstract

We consider a lattice model of an anharmonic crystal and compute the isothermal (χT) and adiabatics (χS) susceptibilities for the lattice displacement below Tc. A detailed analysis is given in terms of the dimension of the lattice and a decay parameter of the harmonic force. It turns out that there is a phase-space region for which 0 < χT/χS < 1, indicating breaking of ergodicity, and a region for which χT is finite, indicating the presence of a plasmon frequency due to the anharmonicity.

Suggested Citation

  • Verbeure, A & Zagrebnov, V.A, 1995. "Collective excitations in the anharmonic crystal," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 215(3), pages 394-404.
    • Handle: RePEc:eee:phsmap:v:215:y:1995:i:3:p:394-404
    DOI: 10.1016/0378-4371(94)00260-Z
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    References listed on IDEAS

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    1. Tonchev, N.S. & Uzunov, D.I., 1985. "On the tricritical Lifshitz behaviour," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 134(1), pages 265-273.
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    Cited by:

    1. Zagrebnov, V.A., 1996. "Long-range order in a lattice-gas model of nematic liquid crystals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 232(3), pages 737-746.
    2. Gandolfo, D. & Tonchev, N.S. & Verbeure, A. & Zagrebnov, V.A., 1996. "Quantum fluctuations at metal-insulator transitions of doped systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 227(3), pages 301-313.

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