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Mode densities of defect lines in three-dimensional Montroll-Potts lattices

Author

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  • Grimm, Markus
  • Wagner, Max

Abstract

The investigation addresses the problem to what extent 1-demensional defect structures in a crystalline surrounding are able to affect the low-frequency vibrational mode density. This problem is of importance for the thermodynamics and the energy transport properties of disordered materials like glasses. Employing an extended Lifshitz procedure, a Green function technique is used to calculate the mode density of several prototypical linear defect structures within a 3-dimensional reference lattice of Montroll-Potts type. Generally, soft defect structures produce a low-frequency increase of the mode density. In particular for a soft disturbance of the transversal springs around a lattice line a transition of the additional mode density to 1-dimensional behaviour (Δϱ ∝ ω0) takes place already at low frequencies. This would provide an additional mechanism for a linear T-behaviour of the specific heat as measured in glassy materials at low temperatures.

Suggested Citation

  • Grimm, Markus & Wagner, Max, 1994. "Mode densities of defect lines in three-dimensional Montroll-Potts lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 210(1), pages 1-23.
    • Handle: RePEc:eee:phsmap:v:210:y:1994:i:1:p:1-23
    DOI: 10.1016/0378-4371(94)00099-9
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    References listed on IDEAS

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