Excess Modes in the Vibrational Spectrum of Disordered Systems and the Boson Peak

Details Excess Modes in the Vibrational Spectrum of Disordered Systems and the Boson Peak Excess Modes in the Vibrational Spectrum of Disordered Systems and the Boson Peak

2000-12-20

arxiv.org/abs/cond-mat/0012392v1

Phys. Rev. B 63, 064302 (2001)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 4 figures, accepted for publication in PRB

Scientific paper

10.1103/PhysRevB.63.064302

We study a disordered vibrational model system, where the spring constants k are chosen from a distribution P(k) ~ 1/k above a cut-off value k_min > 0. We can motivate this distribution by the presence of free volume in glassy materials. We show that the model system reproduces several important features of the boson peak in real glasses: (i) a low-frequency excess contribution to the Debye density of states, (ii) the hump of the specific heat c_V(T) including the power-law relation between height and position of the hump, and (iii) the transition to localized modes well above the boson peak frequency.

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